Algebra 2 - Formulas for Chapter 12
Chapter 9 Review: Sequences and Series Name: ________________________________
|Skill |I Got this! |Eh, I need help. |I have NO idea! |
|Determine if something is Arithmetic or Geometric | | | |
|Find the value of the nth term | | | |
|Use the explicit formula | | | |
|Use the recursive formula | | | |
|Find the arithmetic/geometric means | | | |
|Understand the difference between a sequence and a series | | | |
|Use summation notation | | | |
|Use the formulas to find infinite and finite series. | | | |
Are these sequences arithmetic, geometric, or neither?
1. [pic], 1, [pic], 2, [pic],…
2. 16, 14, 11, 6, 3
3. 16, 25, 36, 49, . . .
4. 20, 10, 5, 2.5, 1.25
5. 1, -2, -5, -8, -11
Write the first 4 terms of each sequence:
6. [pic]
7. [pic]
8. [pic]
9. [pic]
10. Arithmetic sequence with [pic], [pic]
Write the rule for each sequence AND then find the value of the tenth term.
11. Arithmetic with [pic] and [pic]
12. Geometric with [pic], r = 5
13. Arithmetic with [pic], d = 5
14. Arithmetic with [pic] and [pic]
15. geometric with [pic], [pic]
Determine whether the sequence is geometric or arithmetic, then find the rule for the nth term.
16. -3, -1, 1, 3, 5, . . .
17. 0.3, 0.6, 1.2, 2.4,….
18. 7, -35, 175, -875,…
Find the sum of the first 12 terms of each series.
21. 5, -14, 39.2, -109.76,…
22. 8, 12, 16, 20, . . .
23. 4, 24, 144, 864,…
24. -30, -24, -18, -12, . . .
Answer these miscellaneous questions:
25. Find three arithmetic means between 9 and 601
26. Find two geometric means between -104 and -13
27. [pic]
28. [pic]
29. [pic]
30. [pic]
31. [pic]
32. [pic]
33. [pic]
34. Find the sum of the infinite series -16, 8, -4, 2, . . .
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