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

The first term of an A.P. is a and the sum of first p terms is zero, show tht the sum of its next q terms is (a(p+q)q)/(p-1)dot

In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20^("th") term is –112.

In an A.P., the first term is 2 and the sum of first five terms is 5. Then the 31th term is

the sum of the first n terms of a sequence is an^(2) + bn . Then the sum of the next n terms is

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 an A.P. of 99 terms, the sum of all the odd-numbered terms is 2550. Then find the sum of all the 99 terms of the A.P.

If the sum of first n terms of an A P is c n^2, then the sum of squares of these n terms is (2009)

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

In an A.P, the first term is 2 and the sum of the first two terms is 5 . (i) Find the common difference

The first term of an infinite G.P. is 1 and each term is twice the sum of the succeeding terms, then the sum of the series is