AIG SEQUENCES AND SERIES Review



1. Write the first five terms of the sequence defined by the given

explicit formula an = 3n – 6 ____________________________

2. Write the terms of the series, then evaluate

[pic] ______________________________________________=_____________

3. For the arithmetic sequence, find a23: 45, 31, 17, 3,...

4 Evaluate [pic] ____________________________

(Use the formula)

Tell whether the sequence is arithmetic or geometric and give the common difference or the common ratio. If they are arithmetic or geometric give an nth term formula.

5. 3, 12, 48, 192, … ___________________________

6. 5, 12, 15, 38, 40, … ___________________________

7. 23, -12, -47, -82, … ___________________________

8. Find a107 in the arithmetic sequence where a4 = 7 and a7 = 22 ____________________________

9. Find the sum of the arithmetic series: –2 + –7 + –12 + –17 + –22 ______________________

(Use the formula for arithmetic series!)

10. Find S35 for the arithmetic series: 7 + 15 + 23 + 31 + … ____________________________

11. Evaluate [pic] ____________________________

12. Evaluate [pic] ____________________________

13. List the first six terms of the sequence an = [pic]

14. Find a15 in the geometric sequence where a1 = 7 and r = –3 ____________________________

15. Find S27 of the geometric series 2 + –6 + 18 + –54 + … ____________________________

16. Evaluate [pic] ____________________________

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Formulas:

Arithmetic Nth Term: [pic] Geometric Nth Term: [pic]

Arithmetic Series: [pic] Geometric Series: [pic]

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