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 a G.P. of positive terms if any terms is equal to the sum of next tow terms, find the common ratio of the G.P.

In a G.P. of positive terms if any terms is equal to the sum of next tow terms, find the common ratio of the G.P.

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

Write the common difference of an A.P. the sum of whose first \ \ n terms is P/2n^2+Q n

If in an A.P. the sum of m terms is equal to n and the sum of n terms is equal to m then prove that the sum of (m+n) terms is -(m+n)

If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of tis (m+n) terms is zero.

If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of its (m+n) terms is zero.

If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of its (m+n) terms is zero.

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

Two arithmetic progressions have the same numbers. The reatio of the last term of the first progression to the first term of the second progression is equal to the ratio of the last term of the second progression to the first term of first progression is equal to 4. The ratio of the sum of the n terms of the first progression to the sum of the n terms of teh first progression to the sum of the n terms of the second progerssion is equal to 2.