The sum of the series `1/(3xx7)+1/(7xx11)+1/(11xx15)+...` is

A

`1/3`

B

`1/6`

C

`1/9`

D

`1/12`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

sum of the series (1)/(3*7)+(1)/(7*11)+(1)/(11*15)+

What is the value of/का मान क्या है? 1/(3xx7)+1/(7xx11)+1/(11xx15)+...+1/(899xx903) =?

Find the sum of the series: (1xx2xx4)+(2xx3xx7)+(3xx4xx10)+... "to n terms"

Find the sum of the series: (1)/((1xx3))+(1)/((3xx5))+(1)/((5xx7))+...+(1)/((2n-1)(2n+1))

What is the value of (1)/( 3 xx 7) + (1)/( 7 xx 11) + (1)/( 11 xx 15) + . . . + (1)/(899 xx 903) ?

Find the sum of n terms of the series (1)/((2 xx 5))+(1)/((5xx8))+(1)/((8xx11))+... .

What is the sum of the following series ? 1/(1 xx 2) + 1/(2 xx 3) + 1/(3 xx 4) + ………+ 1/(100 xx 101)