Chapter 10 Review.

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Presentation transcript:

Chapter 10 Review

1. Find the next four terms of the arithmetic sequence 11, 15, 19, … .

2. Find the seventh term of the arithmetic sequence in which a1 = 3 and d = 5.

3. Find the two arithmetic means between 10 and 70.

4. Find Sn for the arithmetic series in which a1 = 4, d = 3, and an = 61.

5. Find the sum of the arithmetic series 8 + 5 + 2 + (–1) + … + (–13).

6. Find

7. Find the next two terms of the geometric sequence 567, 189, 63 … .

8. Find the fifth term of a geometric sequence for which a3 = 20 and r = 2.

9. Find the sum of a geometric series for which a1 = 6, an = 96, and r = 2.

10. Find the sum of a geometric series for which a1 = 7, n = 4, and r = 3.

11. Find

12. Find a1 in a geometric series for which Sn = 93, r = 2, and n = 5.

13. Find the sum of the infinite geometric series 12 + 6 + 3 + …, if it exists.

14. Find the fifth term of the sequence in which a1 = 4 and an+1 = an + 6.

15. Find the third iterate of f(x) = 2x + 3 for an initial value of x0 = 2.

16. Find

17. Find the fifth term of the sequence in which a1 = –1 and an + 1 = 2an + n.

18. Find the third iterate of f(x) = x2 – 3 for an initial value of x0= 1.

19. Write an equation for the nth term of the arithmetic sequence –7, –2, 3, 8, …

20. Find the sum if it exists 5 + 4 + 165 + …

21. Expand (x + 2y)3