Home
Class 12
MATHS
the sum of the series 1/(log2 4)+1/(log4...

the sum of the series `1/(log_2 4)+1/(log_4 4)+1/(log_8 4)+.............+1/(log_2^n 4)`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If n=(2017)! , then what is (1)/(log_(2)n)+(1)/(log_(3)n)+(1)/(log_(4)n)+....+(1)/(log_(2017)n) equal to?

1/(log_2 a)+1/(log_4 a)+1/(log_8 a)+... up to n terms = (n(n+1))/k then k=

The sum of the series "log"_(4)2-"log"_(8)2 + "log"_(16)2- "log"_(32) 2+…., is