Sum of n terms|Properties of AP

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 AP in which the ratio of the sum to n terms to the sum of succeding n terms is independent of n .

If the ratio of sum of m terms of an AP to the sum of n terms of the same AP is (m^(2))/(n^(2)) .Then prove that the ratio of its mth and nth terms is 2m-1:2n-1.

Introduction|nth term of an AP|Questions|Sum of First n terms of an AP|Questions

Introduction|nth term of an AP|Questions|Sum of First n terms of an AP|Questions

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)

If the sum of the first four terms of an AP is 40 and the sum of the first fourteen terms of an AP is 280. Find the sum of first n terms of the 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

The sum of first n terms of an AP is (5n - n^(2)). The nth term of the AP is

The sum of m and n terms of an A.P. are n and m respectively. Prove that the sum of (m + n) terms will be - (m+n).