Prove that the sum of `n` number of terms of two different A.P. s can be same for only one value of `ndot`

Prove that the sum of an odd number of terms in A.P is equal to the middle term mutiplied by the number of terms

If the sum of n terms of an A.P. is S_n=3n^2+5n . Write its common difference.

Prove that in an A.P. of finite number of terms the sum of any two terms equidistant from the beginning and the end is equal to the sum of the first and last terms.

The sum of n terms of an A.P is n^2 .Find the common difference.

The sum to n terms of an A.P. is n^(2) . Find the common difference.

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is

If the sum of n terms of an A.P is S_n=3n^2+5n then find the Common difference:

The sum of n terms of an A.P.is 3n^(2)-n. Find the first term and common difference of A.P.