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The sum of the series: 1/((log)2 4)+1/((...

The sum of the series: `1/((log)_2 4)+1/((log)_4 4)+1/((log)_8 4)++1/((log)_(2n)4)` is `(n(n+1))/2` (b) `(n(n+1)(2n+1))/(12)` (c) `(n(n+1))/4` (d) none of these

A

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

B

`(n(n+1)(2n+1))/12`

C

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

D

`(n(n+1))/4`

Text Solution

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The correct Answer is:
D
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