If the arithmetic progression whose common difference is non -zero the sum of first 3n terms is equal to the sum of next n terms . Then find the ratio of the sum of the first 2n terms to the sm of next 2n tems .

In an arithmetic progression, if the kth term is 5k +1 then the sum of first 100 terms is

Find the sum of the first n terms of the series whose nth term is n(n+3) .

Find the sum of the first n-terms of the series. 2+22+222+…..

Find the sum of the first 10 terms of the AP which is (2n-3)/6 .

If the 'sum of first m terms of an A . P . be n and the sum of first n terms be m , show that the sum of first m+n terms is -(m+n)

In an A.P. of which a is the first term if the sum of the first p terms is zero then the sum of the next q terms 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

The first term of an arithmetic sequence is 2 and the common difference is 4 . a) Find the sum of the first ten terms of this sequence. b) Find the sum of ten terms from the second term to the eleventh term. .c) Is it possible that the sum of any consecutive ten terms of the sequence is 500 why?

Suppose that a, ar, ar^2,ar^3,ar^4,ar^5 are the first 6 terms of a G.P Find the ratio of the sum of the first tree terms and the sum of first 6 terms