a n b. n a n Test Review for Lessons 9.1 and 9.3 Show all work on a separate sheet of paper for full credit.
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1 Precalculus Test Review for Lessos. ad. Name: Date: Hour: Show all work o a separate sheet of paper for full credit.. Write the first four terms of the sequeces give by a. a b. a 7. Write the first five terms of the sequece a ( ).. Write a expressio for the apparet th term ( a ) for each sequece. a.,, 6, 8, b., 7,,,, c.,, 0, 7, d. 0, 7, 6, 6,,. Write the first five terms of each recursively defied sequece. a. a a k a k b. a a k a k c. a 6 a k ( a k ). Write the first five terms give by a! Begi with = 0 6. Evaluate each factorial expressio. a. 0!! 8! b.!!!! c.!! 7. Fid each sum. 6 a. i (i ) b. ( k ) c. i k i!
2 8. Use sigma otatio to write each sum. a. b Fid the idicated sum. 7 0 A) the third partial sum B) the sum of the series.. Determie if the sequece is arithmetic. If so, fid the commo differece for each. a.,, 7,,,..., 6 b., 6,, 0,,..., c., d., 6, 8, 6, 6,...,. Write the first five terms of the arithmetic sequece whose commo differece ad first term are give. The, fid a formula for the th term of the arithmetic sequece a. d = 6 ad a = b. d = ad a =. Write the first five terms of each arithmetic sequece. a. a = ad a = 68 b. a 8 = 8 ad a = 7. Fid the ith term of the arithmetic sequece that begis with ad 7.. Fid the teth term of the arithmetic sequece that begis with ad. 6. Fid the sum. a b. Sum of the first 0 positive itegers. 7. Fid the sum of the give itegers. a. from to b. from to 6 c. from 00 to 00 d. from to N+ 8. Fid the 0 th partial sum of the arithmetic sequece 8,,, 0,...
3 . Fid the sum of each a. b. 0. Determie the seatig capacity of a auditorium with 0 rows of seats if there are seats i the first row, 7 seats i the secod row, seats i the third row, ad so o.. Cosider a job offer with a startig salary of $,00 ad a aual raise of $00. Determie the total compesatio from the compay through 8 full years of employmet.. Is the sequece arithmetic, geometric, or either? a., 6, 8,,... b., 7, 0,,... c.,, 7, 8,.... a. Fid the ith term of the geometric sequece 0,,,... b. Write a recursive formula for the sequece. c. Write a explicit formula for the sequece. 6. Fid the sum of the first terms of the sequece ( ). 7. Fid the sum ( ) 8. Fid the sum of the ifiite series
4 0. Iitially, a pedulum swigs through a arc of 8 iches. O each successive swig, the legth of the arc is 0.8 the previous legth. a. What is the legth of the arc after 0 swigs? b. After swigs, what is the total distace the pedulum has swug? c. Whe it stops, what is the total distace the pedulum has swug?. Fid the requested term for each sequece. a. Fid the th term of the geometric sequece, 8,, 8,... b. Fid the 8 th term of the geometric sequece with a = 6 ad r = 8 6. a. Fid the 7 th term i the sequece a ad a b. Fid the 7 th term i the sequece. a ad a. 7. Fid the th term i each geometric sequece. a. a 7 = 0, r = b. a =, r =. Fid the missig term of each geometric sequece by usig the geometric mea. A. 0,, 00 B.,, 8.
5 Chapter Test Review Worksheet Aswer Key a., 8,,,... b. 6, 8, 6, 8,.... -,,, a. a = b. a = 6, c. a = ( ) ( + ) d. a = ( ) + ( ) a., 7,, 7,,... b.,,,, 0,... c. 6, 0, 0, 0, 0,...., 6,,, 0.7, 8.,... 6a. 6b.,0 6c. 7a. 8 7b. 8 7c.. 8a. 8b. ( ) a b or a. yes, d = 6 b. yes, d = c. yes, d = d. No a.,,, 7,,... a = 6 7 b., 0, 6,,,... a = + 8 a. 8,, 8,, 8,... b. 6, 7, 8,, 0, a. 87 6b. 7 7a. 7b c. 0 ( )( ) ½ (N + N + ) OR a. 00 b $78,000 a. Geometric b. Arithmetic c. Geometric a. Yes, r = ½ ad a = b. Yes, r = ad a = a. b. a = 0 a = a 0 c. a = a. iches 0b.. iches 0c. 00 iches a. 8,88,608 b. a b. a. -80 b. a b..
6 Chapter Test Review Worksheet Aswer Key a., 8,,,... b. 6, 8, 6, 8,.... -,,, a. a = b. a = 6, c. a = ( ) ( + ) d. a = ( ) + ( ) a., 7,, 7,,... b.,,,, 0,... c. 6, 0, 0, 0, 0,...., 6,,, 0.7, 8.,... 6a. 6b.,0 6c. 7a. 8 7b. 8 7c.. 8a. 8b. ( ) a b or a. yes, d = 6 b. yes, d = c. yes, d = d. No a.,,, 7,,... a = 6 7 b., 0, 6,,,... a = + 8 a. 8,, 8,, 8,... b. 6, 7, 8,, 0, a. 87 6b. 7 7a. 7b c. 0 ( )( ) ½ (N + N + ) OR a. 00 b $78,000 a. Geometric b. Arithmetic c. Geometric a. Yes, r = ½ ad a = b. Yes, r = ad a = a. b. a = 0 a = a 0 c. a = a. iches 0b.. iches 0c. 00 iches a. 8,88,608 b. a b. a. -80 b. a b..
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