Question: 1. List the first 9 terms of the sequence defined recursively by sn = sn2 (sn1 1), with s1 = 2 and s2 = 3

1. List the first 9 terms of the sequence defined recursively by sn = sn2 (sn1 1), with s1 = 2 and s2 = 3

2. Compute the value of 8 n=1 , where sk is the same sequence as in the previous question.

3. Is the sequence from question 1 arithmetic, geometric, or neither? Explain how you reach your conclusion.

4. Find the sum of the first 200 terms of the arithmetic sequence that begins: 12, 18, 24, ...

5. Find the sum of the first 8 terms of the geometric sequence that begins: 12, 18, 27, ...

6. Find the sum of the infinite geometric sequence that begins 1 12 , 1 18 , 1 27 , ...

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