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.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.

In any A.P. if sum of first six terms is 5 times the sum of next six terms then which term is zero?

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 the first ten terms of an A.P is four times the sum of its first five terms, the ratio of the first term to the common difference is:

the sum of the first six terms of a GP is 9 times the sum of the first three terms. The common ratio is

Find the sum to n terms of the series 3+33+333+… to n terms.

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

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. The ratio of their first term is

In a geometric progression consisting of positive terms each term equals the sum of the next two terms. Then the common ratio of this progression equals

In a geometric progression consisting of positive terms, each term equals the sum of the next terms. Then find the common ratio.