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Review of Sequences and Series

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1 Review of Sequences and Series
Raffle game

2 Question 1 Find the explicit and recursive formulas for the sequence:
-4, 1, 6, 11, 16, ….

3 Question 2 Find the explicit and recursive formulas for the following sequence: 2, 1, ½, ¼, 1/8,….

4 Question 3 Find of the following sequence: 3, -1, -5, -9, -13,….

5 Question 4 Find of the sequence: 3, -1, -5, -9, -13,….

6 Question 5 Find of the following sequence: 3, 12, 48, 192,….

7 Question 6 Find of the sequence: 3, 12, 48, 192,….

8 Question 7 What does n equal when = 4? 120, 116, 112, 108,…., 4

9 Question 8 The 6th and 9th terms of an arithmetic sequence are 10 and 28, respectively. Find the explicit formula for the sequence.

10 Question 9 The 4th and 7th terms of a geometric sequence are 4 and 32, respectively. Find the explicit formula for the sequence.

11 Question 10 Does the sequence converge or diverge?

12 Question 11 Write the series in summation notation:

13 Question 12 ½ + …… Find

14 Question 13 Find the sum:

15 Question 14 Find the sum:


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