Home
Class 11
MATHS
If the sum of the first ten terms of the...

If the sum of the first ten terms of the series
`(1(3)/(5))^(2) + (2(2)/(5))^(2)+ (3(1)/(5))^(2) + 4^(2) + (4(4)/(5))^(2)+ cdots , "is " (16)/(5)` m then m is equal to

A

101

B

100

C

99

D

102

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the series 3//(1^(2) xx2^(2))+5//(2^(2)xx3^(2))+7//(3^(2)xx4^(2))+ cdots .

Find the sum to n terms of this series. 1^2+3^2+5^2+……….

Find the sum of n terms of the series 1 + 4/5 + 7//5^(2) + 10//5^(3)+ cdots

Find the sum to n terms of the series 3xx1^2+5xx2^2+7xx3^2+ ………

The sum of the first n terms of the series (1)/(sqrt(2)+sqrt(5))+(1)/(sqrt(5)+sqrt(8))+(1)/(sqrt(8)+sqrt(11))+ .... is

If S = (2^(2)-1)/(2)+(3^(2)-2)/(6)+(4^(2)-3)/(12)+ cdots upto 10 terms then S is equal to

Find the sum to n terms of the series 3xx1^2+5xx2^2+7xx3^2+ ……..

Find the sum to n terms of the series 1//(1xx3)+1//(3xx5)+1//(5xx7)+ cdots .

If the sum to infinity of the series 3+(3+d) (1)/(4) +(3+2d) (1)/(4^(2))+cdots oo is (44)/(9) then find d.