Wednesday, 22 February 2017

Sum of series frac410+frac4cdot710cdot20+frac4cdot7cdot1010cdot20cdot30+cdots

What is the sum of the series



410+471020+4710102030+?



I know how to check if a series is convergent or not.Is there any technique to find out the sum of a series like this where each term increases by a pattern?

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