Home
Class 12
MATHS
Sum of the n terms of the series (3)/(1^...

Sum of the n terms of the series `(3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^(2)+2^(2)+3^(3))+"......."` is

A

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

B

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

C

`(6n)/(n+1)`

D

`(9n)/(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)+"........" is

Sum up to 16 terms of the series (1^(3))/(1) + (1^(3) + 2^(3))/(1 + 3) + (1^(3) + 2^(3) + 3^(3))/(1 + 3 + 5) + .. is

If |x|gt1 ,then sum of the series (1)/(1+x)+(2)/(1+x^(2))+(2^(2))/(1+x^(4))+(2^(3))/(1+x^(8))+"......"" upto n terms "oo is (1)/(x-lambda) ,then the value of lambda is

Find the sum of n terms of the series (a+b)+(a^(2)+ab+b^(2))+(a^(3)+a^(2)b+ab^(2)+b^(3))+"......." where a ne 1,bne 1 and a ne b .

Find the sum of n terms of each of the following 1^(2) + ((1^(2) + 2^(2))/(2)) + ((1^(2) + 2^(2) + 3^(2))/(3)) + …..

Find the sum to n terms of each of the series in 1^2 + (1^2 + 2^2) + (1^2 + 2^2 + 3^2) + ...

Find the sum to n terms of each of the series in 3 × 1^(2) + 5 × 2^(2) + 7 × 3^(2) +.........

The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15)/(16)+.... is equal to

Sum of the series sum_(r=1)^(n) (r^(2)+1)r! is

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+. . . . . , is (16)/5 m, then m is equal to: