Properties Of AP#!#Sum Of N Terms

Theory OF Sum OF First n Terms OF A.P

Questions on Sum of n terms in A.P.

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.

The sum of m terms and n terms of an A.P. ae equal. Prove that the sum of (m+n) terms will be zero. Given that mnen.

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 -

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).

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

Derive the formula for sum of n terms of an 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