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The 15th term of the series `2 1/2+1 7/(13)+1 1/9+(20)/(23)+..` is

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The 15th term of the series `2 1/2+1 7/(13)+1 1/9+(20)/(23)+..` is
A. `10/39`
B. `10/21`
C. `10/23`
D. none of these
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1 Answer

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Correct Answer - A
Reciprocals of the terms of the series are 2/5,13/20,9/10,23/20,…. Or 8/20,13/20,… Its nth term is
`(8+(n-1)5)/20=(5n+3)/20`
Therefore, the 15th term is `20/78=10/39`.
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