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(1)/(1 . 3)+(1)/(3 . 5)+(1) /(5 . 7)+.. ...

`(1)/(1 . 3)+(1)/(3 . 5)+(1) /(5 . 7)+.. `to `n `terms =

A

1)`(2 n)/(2 n+1)`

B

2)`(n)/(2 n+1)`

C

3)`(n)/(n+2)`

D

4)`(2 n)/(n+5)`

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
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  3. (1)/(1 . 3)+(1)/(3 . 5)+(1) /(5 . 7)+.. to n terms =

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  10. The n^(th ) term of the series 1+5+12+22+35+.. ..

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