Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Describe a pattern in each sequence. Then find the next two terms of the sequence.

9. 6, 13, 20, 27, …
10. 8, 4, 2, 1, …
11. 2, 6, 10, 14, …
12. 10 , 4 , − 2 , − 8 , … 10 comma 4 comma negative 2 comma negative 8 comma dot dot dot
13. 13, 11, 9, 7, …
14. 2, 20, 200, 2000, …
15. 1.1, 2.2, 3.3, 4.4, …
16. 99, 88, 77, 66, …
17. 4.5, 9, 18, 36, …

See Problem 2.

Tell whether the sequence is arithmetic. If it is, identify the common difference.

18. − 7 , − 3 , 1 , 5 , … negative 7 comma negative 3 comma 1 comma 5 comma dot dot dot
19. − 9 , − 17 , − 26 , − 33 , … negative 9 comma negative 17 comma negative 26 comma negative 33 comma dot dot dot
20. 19 , 8 , − 3 , − 14 , … 19 comma 8 comma negative 3 comma negative 14 comma dot dot dot
21. 2, 11, 21, 32, …
22. 1 2 , 1 3 , 1 6 , 0 , … 1 half , comma , 1 third , comma , 1 sixth , comma 0 comma dot dot dot
23. 0.2, 1.5, 2.8, 4.1, …
24. 10, 8, 6, 4, …
25. 10, 24, 36, 52, …
26. 3, 6, 12, 24, …
27. 15, 14.5, 14, 13.5, 13, …
28. 4, 4.4, 4.44, 4.444, …
29. − 3 , − 7 , − 10 , − 14 , … negative 3 comma negative 7 comma negative 10 comma negative 14 comma dot dot dot

    See Problem 3.

30. Garage After one customer buys 4 new tires, a garage recycling bin has 20 tires in it. After another customer buys 4 new tires, the bin has 24 tires in it. Write a rule to represent the number of tires in the bin as an arithmetic sequence. How many tires are in the bin after 9 customers buy all new tires?
31. Cafeteria You have a cafeteria card worth $50. After you buy lunch on Monday, its value is $46.75. After you buy lunch on Tuesday, its value is $43.50. Write a rule to represent the amount of money left on the card as an arithmetic sequence. What is the value of the card after you buy 12 lunches?

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