The sum of first `2n` terms of an `AP` is `alpha`. and the sum of next `n` terms is `beta,` its common difference is

The sum of the first fifteen terms of an A.P. is 105 and the sum of the next fifteen terms is 780. Find the common difference of A.P.:

The sum of first ten terms of an A.P. is 120. The sum of next ten terms is 320. Find the first term and common difference.

An A.P. has the property that the sum of first ten terms is half the sum of next ten terms. If the second term is 13, then the common difference is

An AP has the property that the sum of first ten terms is half the sum of next ten terms. If the second term is 13, then the common difference is

If the first term of an A.P. is 100 and the sum of its first 6 terms is five times the sum of the next 6 terms then its common difference is

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

If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common difference of this A.P. is:

If the sum of the first n terms of an AP is given by S_n=3n^2-n then find its nth terms, first term and common difference