If the arithmetic progression whose common difference is nonzero the sum of first `3n` terms is equal to the sum of next `n` terms. Then, find the ratio of the sum of the `2n` terms to the sum of next `2n` terms.

In an A.P, the sum of first 2n terms is equal to the sum of next n terms. Then the ratio of the sum of first 3n terms to the next n terms is

Consider an arithmetic progression whose first term is a . if the sum of the first ten terms is zero and the sum of next ten terms is -200 then find the value of a .

If in an arithmetic progression, the sum of n terms is equal to the sum of r terms then the sum of (n+r) terms is

Find the common difference of the A. P, the Sum of whose first n terms is 2n + 5n^(2) .

In a GP, the sum of the first three terms is 5, and the sum of the next three terms is 625. Find the sum of the first n terms of the GP.

The sum of the first n-terms of the arithmetic progression is equal to half the sum of the next n terms of the same progression.Find the ratio of the sum of the first 3n terms of the progressionto the sum of its first n-terms.

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

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