10-1 Sequences as Functions. Determine whether each sequence is arithmetic. Write yes or no. 1. 8, 2, 12, 22
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1 Determine whether each sequence is arithmetic. Write yes or no. 1. 8, 2, 12, 22 Subtract each term from the term directly after it. The common difference is , 2, 4, 8, 16 Subtract each term from the term directly after it. There is no common difference. Therefore, the sequence is not arithmetic. esolutions Manual - Powered by Cognero Page 1
2 Find the next four terms of each arithmetic sequence. Then graph the sequence. 5. 6, 18, 30, Subtract each term from the term directly after it. The common difference is 12. To find the next term, add 12 to the last term = = = = 78 esolutions Manual - Powered by Cognero Page 2
3 7. 19, 11, 3, Subtract each term from the term directly after it. The common difference is 8. To find the next term, add 8 to the last term = = = = 29 esolutions Manual - Powered by Cognero Page 3
4 9. FINANCIAL LITERACY Kelly is saving her money to buy a car. She has $250, and she plans to save $75 per week from her job as a waitress. a. How much will Kelly have saved after 8 weeks? b. If the car costs $2000, how long will it take her to save enough money at this rate? a. Given a 0 = 250, d = 75 and n = 8. After 8 weeks, she will have (8 75) or $850. b. Given a n = Find n. So, it will take about 24 weeks to save $2000. Determine whether each sequence is geometric. Write yes or no , 12, 36, 108, Find the ratio of the consecutive terms. Since the ratios are the same, the sequence is geometric , 14, 21, 28, Find the ratio of the consecutive terms. Since the ratios are not the same, the sequence is not geometric. esolutions Manual - Powered by Cognero Page 4
5 Find the next three terms of each geometric sequence. Then graph the sequence , 16, 32, 64, Find the ratio of the consecutive terms. Since the ratios are the same, the sequence is geometric. To find the next term, multiply the previous term by 2. esolutions Manual - Powered by Cognero Page 5
6 17. 9, 3, 1,, Find the ratio of the consecutive terms. Since the ratios are the same, the sequence is geometric. To find the next term, multiply the previous term by. esolutions Manual - Powered by Cognero Page 6
7 Determine whether each sequence is arithmetic, geometric, or neither. Explain your reasoning , 100, 50, 25, To find the common difference, subtract any term from the term directly after it. There is no common difference. Therefore, the sequence is not arithmetic. Find the ratio of the consecutive terms. The common ratio is. Since the ratios are the same, the sequence is geometric. Determine whether each sequence is arithmetic. Write yes or no. 21. Subtract any term from the term directly after it. There is no common difference. Therefore, the sequence is not arithmetic. esolutions Manual - Powered by Cognero Page 7
8 23. 14, 5, 19, Subtract any term from the term directly after it. There is no common difference. Therefore, the sequence is not arithmetic. Find the next four terms of each arithmetic sequence. Then graph the sequence , 1, 2, 5, Subtract any term from the term directly after it. The common difference is 3. To find the next term, add 3 to the last term = = = = 17 esolutions Manual - Powered by Cognero Page 8
9 27. 5, 11, 17, 23, Subtract any term from the term directly after it. The common difference is 6. To find the next term, add 6 to the last term ( 6) = ( 6) = ( 6) = ( 6) = 47 esolutions Manual - Powered by Cognero Page 9
10 29. Subtract any term from the term directly after it. The common difference is. To find the next term, add to the last term. esolutions Manual - Powered by Cognero Page 10
11 31. THEATER There are 28 seats in the front row of a theater. Each successive row contains two more seats than the previous row. If there are 24 rows, how many seats are in the last row of the theater? Given a 1 = 28, d = 2 and n = 24. Find a 24. esolutions Manual - Powered by Cognero Page 11
10-1 Sequences as Functions. Determine whether each sequence is arithmetic. Write yes or no , 3, 0, 3, 9
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