Find the sum of the series: (2^(2)+...

Find the sum of the series:
`(2^(2)+4^(2)+6^(2)+8^(2)+ ..."to n terms")`

A

`(n(n+1)(2n+1))/3`

B

`(2n(n+1)(2n+1))/3`

C

`(n(n+1)(2n+1))/6`

D

`(n(n+1)(2n+1))/9`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Find the sum of the series 2^(2)+4^(2)+6^(2)+...+(2n)^(2)

Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n terms

Find the sum of the series: 1xx2^(2)+2xx3^(2)+3xx4^(2)+... "to n terms"

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

The sum of the series (2)^(2)+2(4)^(2)+3(6)^(2)+.... upto 10 terms is

The sum of the series : (2)^(2) + 2(4)^(2) + 3(6)^(2)+ .... Upon 10 terms is

Find the sum to n terms of the series 1*2^(2)+2*3^(2)+3*4^(2)+...

Find the sum of n terms of the series 1.2^(2)+2.3^(2)+3.4^(2)+

Find the sum of n terms of the series 1^(2)+4^(2)+7^(2)+.........

Find the sum to n terms of the series : 5^(2)+6^(2)+7^(2)+...+20^(2)