Sequences and Series Review
|
|
|
- Kerrie Craig
- 5 years ago
- Views:
Transcription
1 Sequences and Series Review 1. Consider the sequence 1,,,,... a. Describe the pattern formed in the sequence. b. Find the next three terms. 2. i.) Write a formula for the arithmetic sequence 6, 0, 6, 12, 18,... ii.) Then find the next term. Describe the pattern in the sequence. Find the next three terms , 320, 128, 51.2, Evaluate the series. 5. Find a formula for the sequence. 1,5, 9, Use summation notation to write the series for 9 terms. Evaluate the infinite geometric series. Round to the nearest hundredth if necessary Find the 30th term of the sequence 5, 1, 7, 13, Consider the sequence 16, 8, 4, 2, 1,... a. Describe the pattern formed in the sequence. b. Find the next three terms. 10. Given the formula, find the first five terms of the sequence starting with What is the next term: 2, -6, 18, -54, The sequence 15, 21, 27, 33, 39,..., 75 has 11 terms. Evaluate the related series. 13. Consider the infinite geometric series. a. Write the first four terms of the series. b. Does the series diverge or converge? c. If the series has a sum, find the sum. 14. Consider the sequence 8, 6, 3, 1, 6,... a. Find the next two terms of the sequence. b. Write an explicit formula for the sequence. c. Write a recursive formula for the sequence.
2 15. Describe the pattern with a geometric sequence formula. Then find the next two numbers in the pattern. 1,.5,.25,.125, Describe the pattern in the sequence. Find the next three terms. 13, 15, 17, 19, Does the infinite geometric series diverge or converge? Explain. 18. a. It diverges; it has a sum. c. It converges; it has a sum. b. It diverges; it does not have a sum. d. It converges; it does not have a sum. 19. For the series, find the number of terms in the series. a. 4 terms b. 13 terms c. 6 terms d. 5 terms 20. Consider the sequence 7, 5.6, 4.2, 2.8, 1.4,... a. Write an explicit formula for the sequence. Explain your steps. b. Write a recursive formula for the sequence. Explain your steps. c. Suppose you need to find the 50th term of the sequence. Explain which formula you would use. d. Which term is the number 103.6? Explain your method for solving this problem Find the first four terms and the tenth term of the sequence whose th term is defined by 22. Find the common difference, the fourth term, and the th term in the arithmetic sequence 23. The first term of a geometric sequence is 25, and the fourth term is. Find the common ratio, and the fifth term. 24. The first term of an arithmetic sequence is 10, and the tenth term is 2. Find the sum of the first ten terms. 25. Find the common difference and the 100 th term of the sequence in (a).
3 AFM Unit 4 Test - Review Answer Section 1. ANS: a. Add 1 to the numerator and 2 to the denominator of the previous term. b.,, KEY: sequence pattern multi-part question 2. ANS: ; 24 PTS: 1 DIF: L1 REF: 11-1 Mathematical Patterns OBJ: Using Formulas to Generate Mathematical Patterns TOP: 11-1 Example 3 KEY: sequence pattern recursive formula MSC: NAEP A1a NAEP A1b IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.DP 3. ANS: Divide by 2.5; 16, 6.4, PTS: 1 DIF: L3 REF: 11-1 Mathematical Patterns 4. ANS: 165 KEY: sequence pattern PTS: 1 DIF: L2 REF: 11-4 Arithmetic Series OBJ: Using Summation Notation TV.LV21/22.12 TV.LV21/22.52 TV.LVALG.53 ADP J.1.7 TOP: 11-4 Example 4 KEY: arithmetic series summation notation evaluating a series 5. ANS: PTS: 1 DIF: L3 REF: 11-1 Mathematical Patterns KEY: sequence pattern MSC: NAEP A1a NAEP A1b IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.DP
4 6. ANS: PTS: 1 DIF: L2 REF: 11-4 Arithmetic Series OBJ: Using Summation Notation TV.LV21/22.12 TV.LV21/22.52 TV.LVALG.53 ADP J.1.7 TOP: 11-4 Example 3 KEY: arithmetic series summation notation 7. ANS: 1.11 PTS: 1 DIF: L2 REF: 11-5 Geometric Series TOP: 11-5 Example 4 KEY: evaluating a series geometric series infinite geometric series arithmetic mean 8. ANS: 338 PTS: 1 DIF: L2 REF: 11-2 Arithmetic Sequences OBJ: Identifying and Generating Arithmetic Sequences NAT: NAEP A1a CAT5.LV21/22.48 CAT5.LV21/22.50 CAT5.LV21/22.51 CAT5.LV21/22.53 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.I S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV21/22.10 TV.LV21/22.11 TV.LV21/22.49 TV.LV21/22.52 TV.LVALG.53 TV.LVALG.54 TOP: 11-2 Example 2 KEY: arithmetic sequence common difference explicit formula sequence 9. ANS: a. Divide the previous term by 2. b.,, 10. ANS: 1, 0, 4, -12, 52 KEY: sequence pattern multi-part question OBJ: Using Formulas to Generate Mathematical Patterns
5 TOP: 11-1 Example 4 KEY: explicit formula recursive formula sequence pattern MSC: NAEP A1a NAEP A1b IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.DP 11. ANS: 1250 PTS: 1 DIF: L1 REF: 8-6 Geometric Sequences OBJ: Geometric Sequences STA: NC 1.02 TOP: 8-6 Example 1 KEY: geometric sequence common ratio MSC: NAEP A1a NAEP A1i CAT5.LV19.47 CAT5.LV19.52 CAT5.LV19.54 IT.LV15.CP IT.LV15.DI IT.LV15.I S9.TSK1.NS S10.TSK1.NS TV.LV19.10 TV.LV19.16 TV.LV19.17 TV.LV19.52 TV.LVALG ANS: 495 PTS: 1 DIF: L2 REF: 11-4 Arithmetic Series OBJ: Writing and Evaluating Arithmetic Series TV.LV21/22.12 TV.LV21/22.52 TV.LVALG.53 ADP J.1.7 TOP: 11-4 Example 2 KEY: arithmetic sequence arithmetic series sequence evaluating a series 13. ANS: a. b. converge c. 6 PTS: 1 DIF: L4 REF: 11-5 Geometric Series TOP: 11-5 Example 4 KEY: common ratio convergent series divergent series evaluating a series geometric series infinite geometric series multi-part question summation notation 14. ANS: a. 12, 19 b. c. PTS: 1 DIF: L4 REF: 11-1 Mathematical Patterns OBJ: Using Formulas to Generate Mathematical Patterns TOP: 11-1 Example 4
6 KEY: explicit formula multi-part question recursive formula sequence pattern 15. ANS: ;.0625, PTS: 1 DIF: L1 REF: 5-6 Describing Number Patterns OBJ: Inductive Reasoning and Number Patterns STA: NAEP A1a NAEP A1b CAT5.LV19.47 CAT5.LV19.52 CAT5.LV19.54 IT.LV15.CP IT.LV15.DI S9.TSK1.NS S9.TSK1.PRA S10.TSK1.NS S10.TSK1.PRA TV.LV19.10 TV.LV19.16 TV.LV19.17 TV.LVALG.53 TOP: 5-6 Example 1 KEY: inductive reasoning conjecture geometric sequence MSC: NAEP A1a NAEP A1b CAT5.LV19.47 CAT5.LV19.52 CAT5.LV19.54 IT.LV15.CP IT.LV15.DI S9.TSK1.NS S9.TSK1.PRA S10.TSK1.NS S10.TSK1.PRA TV.LV19.10 TV.LV19.16 TV.LV19.17 TV.LVALG ANS: Add 2; 21, 23, 25. KEY: sequence pattern 17. ANS: It diverges; it does not have a sum. PTS: 1 DIF: L2 REF: 11-5 Geometric Series TOP: 11-5 Example 3 KEY: geometric series common ratio divergent series convergent series infinite geometric series 18. ANS: C PTS: 1 DIF: L2 REF: 11-5 Geometric Series TOP: 11-5 Example 3 KEY: geometric series common ratio divergent series convergent series infinite geometric series 19. ANS: C PTS: 1 DIF: L2 REF: 11-4 Arithmetic Series OBJ: Using Summation Notation TV.LV21/22.12 TV.LV21/22.52 TV.LVALG.53 ADP J.1.7 TOP: 11-4 Example 4 KEY: arithmetic series summation notation pattern 20. ANS: a. To write the explicit formula, use the general explicit formula. You can see that the first term,, is 7 and the common difference, d, is 1.4. Substitute these values into the formula:. Simplify the formula to
7 . b. To write the recursive formula, use the general recursive formula. You can see that the first term is 7 and the common difference d is 1.4. Substitute these values into the formula:. c. Answers may vary. Sample: It would be easier to use the explicit formula since it does not depend upon knowing the previous term. You can just substitute 50 for n in the explicit formula to find the 50th term. d. Substitute for in the formula and solve for n. ; 112 = 1.4n; n = 80. The term is the 80th term of the sequence. PTS: 1 DIF: L4 REF: 11-2 Arithmetic Sequences OBJ: Identifying and Generating Arithmetic Sequences NAT: NAEP A1a CAT5.LV21/22.48 CAT5.LV21/22.50 CAT5.LV21/22.51 CAT5.LV21/22.53 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.I S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV21/22.10 TV.LV21/22.11 TV.LV21/22.49 TV.LV21/22.52 TV.LVALG.53 TV.LVALG.54 TOP: 11-2 Example 2 KEY: arithmetic sequence common difference explicit formula multi-part question recursive formula sequence pattern writing in math 21. ANS: jcnalncanscl PTS: 1
POlynomials. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: POlynomials Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write 4x 2 ( 2x 2 + 5x 3 ) in standard form. Then classify it by degree
AFM Unit 2A Review Sheet
AFM Unit A Review Sheet Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Write the ordered pairs for the relation. Find the domain and range. O x {(, 5),
Exponential and Logarithmic Modeling
Exponential and Logarithmic Modeling Multiple Choice Identify the choice that best completes the statement or answers the question. 1. An initial population of 505 quail increases at an annual rate of
Algebra 1 Chapter 3 Practice Test
Name: Class: Date: ID: A Algebra 1 Chapter 3 Practice Test Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Which number is a solution of the
Algebra 1 Chapter 8 Practice Test
Name: Class: Date: ID: A Algebra Chapter 8 Practice Test Simplify the expression.. ( 2.7) 0 a. 0 b. c. d. 2.7 2. (4) 2 a. 6. 2 2 0 2 0 4. 2k 8 k 5. (k 2 ) 4 6. 7. b. 6 c. 6 d. 8 a. 6 7 b. 728 7 c. d. 2
Algebra 2 Spring 2015 Test 1
Name: Class: Date: Algebra 2 Spring 2015 Test 1 Multiple Choice (23 questions) Identify the choice that best completes the statement or answers the question on your scantron sheet. Do any scratch work
Algebra 2 Final Exam Review 2017
Algebra Final Exam Review 017 Multiple Choice Identif the choice that best completes the statement or answers the question. Suppose Q and R are independent events. Find P(Q and R). 1. P(Q) = 1, P(R) =
Distributive Property, Expressions, and Equations Study Guide
Distributive Property, Expressions, and Equations Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which word phrase could represent the variable
Name: Class: Date: 6. What is the y intercept of the function h(x) = 3 x 3 a. (0, -2) b. (-2, 0) c. (-3, 0) d. (0, -3)
Name: Class: Date: ID: A Exponential Study Guide 1. Identify each of the following for the function f(x) = 4 2 x. Then graph the function. a. x-intercept(s) b.y-intercept c. asymptote d. domain e. range
Chapter 12 Final Review
Chapter 12 Final Review Simplify the rational expression. 1. 2. 3. 4. 5. 6. 7. Multiply. 8. 9. 10. 11. 12. Divide. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. Add or subtract. 24. 25. 26. 27. 28. 29. Find
Geometry Chapter 1-2 Exam
Name: Class: Date: ID: A Geometry Chapter 1-2 Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Based on the pattern, what is the next figure in the
Exponents Unit Assessment Review
Name: Class: Date: ID: A Exponents Unit Assessment Review Multiple Choice Identify the choice that best completes the statement or answers the question. Simplify the expression.. 7x 8 6x 3 a. 42 x 5 b.
Foundations of Math 3 -- Proof Practice
Foundations of Math 3 -- Proof Practice Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Identify the hypothesis and conclusion of this conditional statement:
Review Algebra Test
Name: Class: Date: Review Algebra Test.4-2.3 Multiple Choice Identify the choice that best completes the statement or answers the question. Solve the equation.. 5y 9 (y ) a. 2 b. 2 2 c. 2 d. 2 5 Use an
ALGEBRA 1(A) Final Exam REVIEW
ALGEBRA 1(A) Final Exam REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. Write an algebraic expression for the phrase. 1. times the quantity q minus
Chapter 7 Review. Name: Class: Date: = = log log log log b. 7. log log x 6 log (x + 2)
Name: Class: Date: ID: A Chapter 7 Review Write the equation in logarithmic form. 1. 2 5 = 32 4 3 2. 125 = 625 Evaluate the logarithm. 3. log 5 1 625 4. log 3 243 5. log 0.01 Write the expression as a
Algebra 1a Final Exam Review
Algebra 1a Final Exam 2016-2017 Review Short Answer Graph the inequality. 1. x < 1 2. Solve the inequality. Then graph your solution. 3. 4. 5. 5 8 v < 7 5 6. 7. 8. 10 < 3x 7 < 17 9. Solve the inequality.
MATH 2413 TEST ON CHAPTER 4 ANSWER ALL QUESTIONS. TIME 1.5 HRS.
MATH 1 TEST ON CHAPTER ANSWER ALL QUESTIONS. TIME 1. HRS. M1c Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Use the summation formulas to rewrite the
Algebra 1 Final Exam Review
Algebra 1 Final Exam Review 2016-2017 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Katalin drove 230 miles on her vacation. She drove an average of
Algebra 2 Matrices. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find.
Algebra 2 Matrices Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find. Evaluate the determinant of the matrix. 2. 3. A matrix contains 48 elements.
Algebra 1, Absolute Value Functions Review
Name: Class: Date: ID: A Algebra 1, Absolute Value Functions Review 3.7.1: I can solve absolute value equations. 1. (1 point) x + 10 = 1 2. (1 point) Starting from 1.5 miles away, a car drives towards
PERT Practice Test #2
Class: Date: PERT Practice Test #2 Multiple Choice Identify the choice that best completes the statement or answers the question. Ê 1. What is the quotient of 6y 6 9y 4 + 12y 2 ˆ Ê 3y 2 ˆ? a. 2y 4 + 3y
Trigonometric Identity Practice
Trigonometric Identity Practice Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Identify the expression that completes the equation so that it is an identity.
AFM Review Test Review
Name: Class: Date: AFM Review Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. What are the solutions of the inequality?. q + (q ) > 0 q < 3 q
Ch 9/10/11/12 Exam Review
Ch 9/0// Exam Review The vector v has initial position P and terminal point Q. Write v in the form ai + bj; that is, find its position vector. ) P = (4, 6); Q = (-6, -) Find the vertex, focus, and directrix
MATH 2413 TEST ON CHAPTER 4 ANSWER ALL QUESTIONS. TIME 1.5 HRS
MATH 1 TEST ON CHAPTER ANSWER ALL QUESTIONS. TIME 1. HRS M1c Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the general solution of the differential
a) Plot and label the 3 points. [3] b) Rewrite point A using a negative angle and negative radius.
![a) Plot and label the 3 points. [3] b) Rewrite point A using a negative angle and negative radius.](/thumbs/95/122797190.jpg "a) Plot and label the 3 points. [3] b) Rewrite point A using a negative angle and negative radius.")
Analysis Summer HW problem Set: Compiled 207 Students bridging up to Analysis from Alg2/TrigA will need to learn a few topics on their own this summer. These are topics that other Analysis students learned
Seminar Alg Basics. Name: Class: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Seminar Alg Basics Multiple Choice Identify the choice that best completes the statement or answers the question. Use a pattern to answer each question. 1. How many line segments are in figure
Alg 1B Chapter 7 Final Exam Review
Name: Class: Date: ID: A Alg B Chapter 7 Final Exam Review Please answer all questions and show your work. Simplify ( 2) 4. 2. Simplify ( 4) 4. 3. Simplify 5 2. 4. Simplify 9x0 y 3 z 8. 5. Simplify 7w0
North Caroline Math 2 Transition Edition Unit 3 Assessment: Radical and Rational Functions
Class: Date: North Caroline Math 2 Transition Edition Unit 3 Assessment: Radical and Rational Functions Multiple Choice Identify the choice that best completes the statement or answers the question.. Evalue
Alg 1 Systems. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Alg 1 Systems Multiple Choice Identify the choice that best completes the statement or answers the question. What is the solution of the system? Use a graph. 1. y = x + 2 y = 3x 1 a. c. b.
Pre-Algebra Unit 8 Practice Test: Ratios, Rates, & Proportions Answer Section
Pre-Algebra Unit 8 Practice Test: Ratios, Rates, & Proportions Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: L2 REF: -1 Ratios and Unit Rates STA: CA 7.MG.1.1 CA 7.MG.1.3 CA 7.AF.4.2 TOP: -1 Example
Quadratics Unit Review
Name: Class: Date: Quadratics Unit Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. (2 points) Consider the graph of the equation y = ax 2 + bx +
PreCalculus: Chapter 9 Test Review
Name: Class: Date: ID: A PreCalculus: Chapter 9 Test Review Short Answer 1. Plot the point given in polar coordinates. 3. Plot the point given in polar coordinates. (-4, -225 ) 2. Plot the point given
Algebra II B Review 5
Algebra II B Review 5 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the measure of the angle below. y x 40 ο a. 135º b. 50º c. 310º d. 270º Sketch
Polynomials Practice Test
Name: Class: Date: Polynomials Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. From the list, which terms are like 7x? 7x 2, 6x, 5, 8x, 7x,
EECS 1028 M: Discrete Mathematics for Engineers
EECS 1028 M: Discrete Mathematics for Engineers Suprakash Datta Office: LAS 3043 Course page: http://www.eecs.yorku.ca/course/1028 Also on Moodle S. Datta (York Univ.) EECS 1028 W 18 1 / 16 Sequences and
Math 521B Chapter 4 Test (33 marks) Name:
Math 521B Chapter 4 Test (33 marks) Name: Multiple Choice Identify the choice that best completes the statement or answers the question. (10 marks) 1. What are the x-intercepts of the quadratic function
SHOW WORK! Chapter4Questions. NAME ID: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
NAME ID: Date: Chapter4Questions Multiple Choice Identify the choice that best completes the statement or answers the question. SHOW WORK! 1. Find the indefinite integral 1u 4u du. a. 4u u C b. 1u 4u C
Abs.Value Equations/Inequalities, Direct Variation, and Parallel/Perpendicular Lines - QUIZ
Abs.Value Equations/Inequalities, Direct Variation, and Parallel/Perpendicular Lines - QUIZ Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which equation
Unit two review (trig)
Class: Date: Unit two review (trig) Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the reference angle for 15 in standard position? A 255 C 345
Algebra 2 End of Term Final REVIEW
Algebra End of Term Final REVIEW DO NOT WRITE IN TEST BOOKLET. 1. Graph. a. c. x x x x. Express as a single logarithm. Simplif, if possible. a. 5 c. 3 3. The volume V of a clinder varies jointl with the
WBHS Algebra 2 - Final Exam
Class: _ Date: _ WBHS Algebra 2 - Final Eam Multiple Choice Identify the choice that best completes the statement or answers the question. Describe the pattern in the sequence. Find the net three terms.
Pre-Calc 11 Unit 1 Pre-Test
Name: Class: Date: Pre-Calc 11 Unit 1 Pre-Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which term below is a term of an arithmetic sequence with
ALGEBRA 2 FINAL EXAM REVIEW
Class: Date: ALGEBRA 2 FINAL EXAM REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question.. Classify 6x 5 + x + x 2 + by degree. quintic c. quartic cubic d.
Algebra 2 Chapter 6 and 7 Test Review (part 1)
Name: Class: Date: Algebra 2 Chapter 6 and 7 Test Review (part ). Find the annual percent increase or decrease that y = 0.35(2.3) x models. a. 230% increase c. 35% decrease b. 35% increase d. 65% decrease
Chapter 2 Practice Test
Name: Class: Date: ID: A Chapter 2 Practice Test 1. What is a counterexample for the conjecture? Conjecture: Any number that is divisible by 4 is also divisible by 8. 2. What is the conclusion of the following
0113a2. Algebra 2/Trigonometry Regents Exam 0113
Algebra /Trigonometry Regents Exam 011 www.jmap.org 011a 1 What is the equation of the graph shown below? 4 What is the common ratio of the geometric sequence shown below?, 4, 8,16,... 1) 1 ) ) 4) 6 1)
Name: Class: Date: a. 0.9 b. 0.7 c. 0.5 d. 0.3
Name: Class: Date: Review Ch.. Suppose Q and R are independent events. Find P(Q and R). P(Q) = 0.39, P(R) = 0.85 a..24 b. 0.335 c. 0.46 d. 0.794 2. Two urns contain white balls and yellow balls. The first
Name: Class: Date: B. The twentieth term is A. D. There is not enough information.
Class: Date: Chapter 2 Review 1. Based on the pattern, what are the next two terms of the sequence? 9, 15, 21, 27,... A. 33, 972 B. 39, 45 C. 162, 972 D. 33, 39 2. What conjecture can you make about the
Math 521B Trigonometry Assignment
Math 521B Trigonometry Assignment Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the reference angle for 200 in standard position? A 100 C 20
Review Unit Multiple Choice Identify the choice that best completes the statement or answers the question.
Review Unit 3 1201 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following numbers is not both a perfect square and a perfect cube? a. 531
Moving Straight Ahead - Unit Test Review Sheet
Name: Class: Date: ID: A Moving Straight Ahead - Unit Test Review Sheet Short Answer 1. Use the graph at the right. a. Find the slope of the line. b. Find the equation of the line. 2. Does the table below
m2413c2 the limiting process. 4. Use the alternative form of the derivative to find the derivative of the function at. a. b. c. d. e.
m2413c2 Multiple Choice Identify the choice that best completes the statement or answers the question 1 Find the derivative of the following function using the limiting process 2 Find the derivative of
The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern. 3) 4, 10, 16, 22, 28,... 3)
M60(Precalculus) Evaluate the factorial expression. 9! ) 7!! ch practice test ) Write out the first five terms of the sequence. ) {sn} = (-)n - n + n - ) The given pattern continues. Write down the nth
m2413f 4. Suppose that and . Find the following limit b. 10 c. 3 d Determine the limit (if it exists). 2. Find the lmit. a. 1 b. 0 c. d.
m2413f Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find an equation of the line that passes through the point and has the slope. 4. Suppose that and
Name: Class: Date: A. 70 B. 62 C. 38 D. 46
Class: Date: Test 2 REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Divide: (4x 2 49y 2 ) (2x 7y) A. 2x 7y B. 2x 7y C. 2x 7y D. 2x 7y 2. What is
Moving Straight Ahead - Unit Test Review Sheet
Name: Class: Date: ID: A Moving Straight Ahead - Unit Test Review Sheet Short Answer 1. Brent's Video Shack charges $1.50 to rent a video game for a night. Mr. Buck's Entertainments opens a new store in
7th Grade Advanced Topic I Operations with Rational Numbers, MA.7.A.3.1, MA.7.A.3.2, MA.7.A.5.1
Name: Class: Date: ID: A 7th Grade Advanced Topic I Operations with Rational Numbers, MA.7.A.3.1, MA.7.A.3.2, MA.7.A.5.1 Multiple Choice Identify the choice that best completes the statement or answers
ID: A MATCHING MULTIPLE CHOICE
Chemistry-575 Semester-1 Review Practice Test (General review with an emphasis on the types of questions missed most frequently by students.) Answer Section MATCHING 1. ANS: B PTS: 1 DIF: L1 REF: p. 808
FOM 11 CHAPTER 3 TEST
Instructions: Show all required work! NO WORK = NO MARKS!!!!!! 1. Sketch a triangle that corresponds to the equation. (1 mark) Then, determine the third angle measure. (1 mark) Sketch: Measure of third
Chapter 1 Test Review
Name Per ID: A Chapter 1 Test Review Short Answer Insert , or = to make the sentence true. 1. 7 12 2. 5 9 1 8 3. 16 + 6 8 + 7 Name the property of real numbers illustrated by the equation. 4. 2(x +
Sequences and Series. College Algebra
Sequences and Series College Algebra Sequences A sequence is a function whose domain is the set of positive integers. A finite sequence is a sequence whose domain consists of only the first n positive
Chapters 1 and 2 Test
Class: Date: Chapters 1 and 2 Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. 2r 9 6 Solve the inequality. Graph the solution set. a. r 1 1 2 c. r
Chapter 1 Review - Challenge Pre-algebra
Name: Class: Date: ID: A Chapter 1 Review - Challenge Pre-algebra Evaluate the expression. 1. 12 8 + 20 8 2 a. 112 b. 102 c. 98 d. 54 2. 14 + 30 13 2 3. ( 6 7) 3 6 + 6 Add parentheses to make the statement
UNIT 3 VOCABULARY: SEQUENCES
3º ESO Bilingüe Página UNIT 3 VOCABULARY: SEQUENCES.. Sequences of real numbers A sequence of real numbers is a set of real numbers that are in order. For example: 3, 5, 7, 9,, 3... is a set of numbers
Accentuate the Negative - Unit Test Review Sheet
Name: Class: _ Date: _ Accentuate the Negative - Unit Test Review Sheet Short Answer 1. A football team loses an average of 3 yards per play. How many yards have they lost after 4 plays? Write a number
Algebra II Honors Final Exam Review
Class: Date: Algebra II Honors Final Exam Review Short Answer. Evaluate the series 5n. 8 n =. Evaluate the series (n + ). n = What is the sum of the finite arithmetic series?. 9+ + 5+ 8+ + + 59. 6 + 9
Geometry CP - Ch. 4 Review
Geometry CP - Ch. 4 Review 1. If, which of the following can you NOT conclude as being true? A. B. C. D. 2. A. B. C. D. 3. Given and, find the length of QS and TV. A. 7 B. 25 C. 8 D. 2 4. The two triangles
0611a2. Algebra 2/Trigonometry Regents Exam x = 4? x 2 16
Algebra /Trigonometry Regents Exam 06 www.jmap.org 06a A doctor wants to test the effectiveness of a new drug on her patients. She separates her sample of patients into two groups and administers the drug
Module 5 Study Guide--Linear Functions
Module Stud Guide--Linear Functions The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation.. The table shows the cost of a ski rental
MATH 301 INTRO TO ANALYSIS FALL 2016
MATH 301 INTRO TO ANALYSIS FALL 016 Homework 04 Professional Problem Consider the recursive sequence defined by x 1 = 3 and +1 = 1 4 for n 1. (a) Prove that ( ) converges. (Hint: show that ( ) is decreasing
Algebra 2, Spring Semester Review
Class: Date: Algebra, Spring Semester Review 1. (1 point) Graph the relation and its inverse. Use open circles to graph the points of the inverse. x 0 4 9 10 y 3 7 1 a. c. b. d. 1 . (1 point) Is relation
MATH 1314 Test 2 Review
Name: Class: Date: MATH 1314 Test 2 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find ( f + g)(x). f ( x) = 2x 2 2x + 7 g ( x) = 4x 2 2x + 9
ACCURACY AND PRECISION
Science, Measurement, and Uncertainty: Accuracy and Precision Name Period Date ACCURACY AND PRECISION Definitions: Accuracy how close a measurement is to Precision how close a measurement is to Precision
2. What are the three other angles in standard position that have a reference angle of 54? A C B D
exam unit 2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the reference angle for 15 in standard position? A 255 C 345 B 30 D 15 2. What are
MAC 2233 Chapter 3 Practice for the Test
Class: Date: MAC 33 Chapter 3 Practice for the Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. At which labeled point is the slope of the tangent
Math Multiple Choice Identify the choice that best completes the statement or answers the question.
Math 7-4.2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the circumference of this circle. Leave π in your answer. 12 m A) m B) m C) m D) 12 m 2.
Algebra 1 First Semester Exam Answer Section
Algebra 1 First Semester Exam Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: Level B REF: MALG0086 TOP: Lesson 1.2 Apply Order of Operations KEY: whole variable evaluate substitute rational expression
Unit four review. Name: Class: Date: Short Answer
Name: Class: Date: ID: A Unit four review Short Answer 1. Graph the quadratic function y = 3x 2 6x + 5. Use the graph to determine the zeros of the function if they exist. 2. For what values of k does
Chapter 6 Quiz. Name: Class: Date: Numeric Response
Name: Class: Date: Chapter 6 Quiz Numeric Response 1 Gridded Response Thomas has been offered two jobs. The first job pays $880.00 per week. The second job pays $790.00 per week plus 12% commission on
Algebra Chapter 4 (pearson) review
Class: Date: Algebra Chapter 4 (pearson) review What are the variables in each graph? Describe how the variables are related at various points on the graph. 1. The graph shows the height of a hiker above
Midterm Review. Name: Class: Date: ID: A. Short Answer. 1. For each graph, write the equation of a radical function of the form y = a b(x h) + k.
Name: Class: Date: ID: A Midterm Review Short Answer 1. For each graph, write the equation of a radical function of the form y = a b(x h) + k. a) b) c) 2. Determine the domain and range of each function.
Systems and inequalites review
Name: Class: Date: Systems and inequalites review Multiple Choice Identify the choice that best completes the statement or answers the question, 1. The approximate solutions to the system of equations
1. Simplify. 2. Simplify. 3. Simplify. 4. Solve the following equation for x.
Assignment 2 Unit 4 Rational Expressions Name: Multiple Choice Identify the choice that best completes the statement or answers the question. BE SURE TO SHOW ALL WORKINGS FOR MULTIPLE CHOICE. NO MARKS
Ready To Go On? Skills Intervention 12-1 Introduction to Sequences
Find these vocabulary words in Lesson 12-1 and the Multilingual Glossary. Finding Terms of a Sequence by Using a Recursive Formula Find the first five terms of each sequence. A. a n a n1 1, where n 2 and
MCR3U - Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
MCR3U - Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following relations is not a function? 2. Which graph is not a function?
Algebra II - Chapter 2 Practice Test Answer Section
Algebra II - Chapter Practice Test Answer Section SHORT ANSWER 1. ANS: g(x) is f(x) translated 3 units left and units up. Because h = + 3, the graph is translated 3 units left. Because k = +, the graph
8th Grade Final Test - Review Sheet
Class: Date: 8th Grade Final Test - Review Sheet 1. Which equation has a slope of 2 and passes through the point (5, 0)? A. y = 2x + 5 B. y = 2x + 10 C. y = 2x + 5 D. y = 2x + 10 2. Which of the following
Honors Algebra 2 Quarterly #3 Review
Name: Class: Date: ID: A Honors Algebra Quarterly #3 Review Mr. Barr Multiple Choice Identify the choice that best completes the statement or answers the question. Simplify the expression. 1. (3 + i) +
Unit 5: Sequences, Series, and Patterns
Unit 5: Sequences, Series, and Patterns Section 1: Sequences and Series 1. Sequence: an ordered list of numerical terms 2. Finite Sequence: has a first term (a beginning) and a last term (an end) 3. Infinite
Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
3A Worksheet 3A Short Answer Find an equation for the line: 1. through (2, 6) and perpendicular to y = 5 4 x + 1. 2. through ( 7, 4) and vertical. Determine whether y varies directly with x. If so, find
Algebra II: Chapter 6 Test Review
Class: Date: Algebra II: Chapter 6 Test Review 1. Simplify 8 4 /. 1 2 a. c. 2 b. 8 d. 16 2. Which is equivalent to 81 1/4? a. 9 b. c. 1 9 d. 1. The volume of a sphere can be given by the formula V = 4.18879r.
Definition: A sequence is a function from a subset of the integers (usually either the set
Math 3336 Section 2.4 Sequences and Summations Sequences Geometric Progression Arithmetic Progression Recurrence Relation Fibonacci Sequence Summations Definition: A sequence is a function from a subset
0810a2. Algebra 2/Trigonometry Regents Exam In which graph is θ coterminal with an angle of 70?
Algebra /Trigonometry Regents Eam 080 www.jmap.org 080a The product of ( + 5 ) and ( 5 ) is 6 5 6 5 What is the radian measure of an angle whose measure is 0? 7π 5 In which graph is θ coterminal with an
10-2 Arithmetic Sequences and Series
Determine the common difference, and find the next four terms of each arithmetic sequence. 1. 20, 17, 14, 17 20 = 3 14 17 = 3 The common difference is 3. Add 3 to the third term to find the fourth term,
Math 265 Test 3 Review
Name: Class: Date: ID: A Math 265 Test 3 Review. Find the critical number(s), if any, of the function f (x) = e x 2 x. 2. Find the absolute maximum and absolute minimum values, if any, of the function
Math 324 Summer 2012 Elementary Number Theory Notes on Mathematical Induction
Math 4 Summer 01 Elementary Number Theory Notes on Mathematical Induction Principle of Mathematical Induction Recall the following axiom for the set of integers. Well-Ordering Axiom for the Integers If
Algebra I: Chapter 8 Test
Name: Class: Date: Algebra I: Chapter 8 Test. 8 8 6 Simplify. Leave your answer in exponential form. a. 8 6 b. 64 7 c. 8 5 d. 8 7 Simplify: 2. r 4 r 5 r 6 a. r 20 b. 3r 20 c. r 5 d. 3r 5 3. w c 7 8w 3
Review Unit 2. Multiple Choice Identify the choice that best completes the statement or answers the question.
Review Unit 2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Identify the index of. a. b. 3 c. 7 d. 2 2. Identify the radicand of. a. 4 b. c. 6 d. 8 3.