Home
Class 11
MATHS
Find the sum of the following series up ...

Find the sum of the following series up to n terms:
`1^3/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+.......`

Text Solution

Verified by Experts

The correct Answer is:
`n/24 (2n^2+9n+13)`
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 :

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 :

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

If the sum of n terms of the series : (1)/( 1^(3)) +( 1+2)/( 1^(3) + 2^(3)) +(1+2+3)/(1^(3) + 2^(3) + 3^(3)) + "......." in S_(n) , then S_(n) exceeds 199 for all n greater than :

Find the sum to n terms of the series , (1)/(1.2)+(1)/(2.3)+(1)/(3.4)+.... ?

Find the sum of n terms of the series 1. 2. 3+2. 3. 4+3. 4. 5+

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

The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2))/(1 + 2) + (1^(2) + 2^(2) + 3^(2))/(1 + 2 + 3) + ..

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