SOLUTION: what is the sum of the infinite 52+78+117+...

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Question 466170: what is the sum of the infinite 52+78+117+...
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The general term a%5Bn%5D is given by a%5Bn%5D+=+%28%2813n%29%2F2%29%28n%2B1%29+%2B+39.
Since the series consists of positive terms that are unbounded, then
52 + 78 + 117 + ... = sum%28%28%28%2813n%29%2F2%29%28n%2B1%29+%2B+39%29%2C+n=1%2C+infinity%29+=+infinity.