Find a formula for the general term an of the sequence, assuming that the patter

Question

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. Determine whether the sequence converges or diverges. If it converges, find the limit. [No credit without proper justification.] Determine whether the sequence converges or diverges. If it converges, find the limit. [No credit without proper justification.] Determine whether the sequence converges or diverges. If it converges, find the limit. [No credit without proper justification.] Determine whether the sequence converges or diverges. If it converges, find the limit. [No credit without proper justification.]

Explanation / Answer

1. The sequence (-1)^(n+1) * ((n+1)^2)/n follows the pattern of the first terms given. (Try plugging in numbers to see how).

2. A series converges if it has a finite limit. Therefore, just find the limit of each problem.

This on converges

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