What is the sum of the series $S = 1+\dfrac15+\dfrac{1\cdot 3}{5\cdot 10}+\dfrac{1\cdot 3\cdot 5}{5\cdot 10\cdot 15}+\cdots$

Asked Jan 24 '18 at 03:03

Active Jan 24 '18 at 03:29

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The numerator is the sum of increasing AP being multiplied--> 1 3 5 7 and the denominator is multiple of 5 increasing with each term. Unable to understand how to approach this question.

edited Jan 24 '18 at 03:29

Awnon Bhowmik

1,724

asked Jan 24 '18 at 03:03

Suryansu Dash

Please use MathJax to format your posts. – gen-ℤ ready to perish Jan 24 '18 at 03:18

What is the sum of the series $S = 1+\dfrac15+\dfrac{1\cdot 3}{5\cdot 10}+\dfrac{1\cdot 3\cdot 5}{5\cdot 10\cdot 15}+\cdots$

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