Questions on Sum of n terms in A.P.

If the sum of first 6 terms of A.P.is 96 and sum of first 10 terms is 240 ,then find the sum of n terms of A.P.

If the sum of m terms of an A.P, is equal to the sum of n terms of the A.P ., then the sum of (m + n) terms is

If in an A.P. the sum of m terms is equal to n and the sum of n terms is equal to m then prove that the sum of (m+n) terms is -(m+n)

Consider the A.P. 50,48,46,44 ……. If S _(n) denotes the sum to n terms of this A.P. then

If for every n in N , sum to n terms of an A.P. is 5n^(2)+7n then is 10th term is

In an A.P,the sum of m terms of an AP is n and sum of n terms of AP is m,then prove that sum of (m+n) terms of AP is-(m+n)

Given sum of the first n terms of an A.P is 2n+ 3n^(2) . Another A.P is formed with the same first term and is double the common difference, the sum of n terms of the new A.P. is

Given sum of the first n terms of an A.P. is 2n+3n^(2) Another A.P .is formed with the same first.term and double of the common difference,the sum of n terms of the new A.P. is -

Find the sum S_n of the cubes of the first n terms of an A.P. and show that the sum of first n terms of the A.P. is a factor of S_n .

In an A.P.the sum of m terms of an AP is n and sum of n terms of AP is m,then prove that sum of (m+n) terms of AP is -(m+n)