Home
Class 12
MATHS
If the sum of first n terms of an A P is...

If the sum of first `n` terms of an `A P` is `c n^2,` then the sum of squares of these `n` terms is (2009) `(n(4n^2-1)c^2)/6` (b) `(n(4n^2+1)c^2)/3` `(n(4n^2-1)c^2)/3` (d) `(n(4n^2+1)c^2)/6`

A

`(n(4n^2-1)c^2)/6`

B

`(n(4n^2+1)c^2)/3`

C

`(n(4n^2-1)c^2)/3`

D

`(n(4n^2+1)c^2)/6`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the sum of first n terms of an AP is cn^(2) , then the sum of squares of these n terms is (2009)( a) (n(4n^(2)-1)c^(2))/(6) (b) (n(4n^(2)+1)c^(2))/(3) (c) (n(4n^(2)-1)c^(2))/(3) (d) (n(4n^(2)+1)c^(2))/(6)

The sum of first n terms of an AP is 4n^(2)+2n Find its n th term.

The sum of the first n terms of an A.P.is 4n^(2)+2n. Find the nth term of this A.P.

If the sum of n terms of an A.P is (4n^(2)-3n)/(4) then ,n^(th) term of the A.P

If the n^(t h) term of an A.P. is 2n+1 , then the sum of first n terms of the A.P. is n(n-2) (b) n(n+2) (c) n(n+1) (d) n(n-1)

If the sum of n terms of an A.P.is 2n^(2)+5n then its nth term is 4n-3 b.3n-4 c.4n3 d.3n+4

If the sum of n terms of an A.P. is 2n^2+5n , then its n t h term is 4n-3 (b) 3n-4 (c) 4n+3 (d) 3n+4

Find the sum of the series whose nth term is given by: (4n^(3)+6n^(2)+2n)

If the sum of n terms of an A.P.be 3n^(2)-n and its common difference is 6, then its first term is 2 b.3 c.1 d.4