Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+ 1)th to (2n)th term is `1/r^n`.

Find the sum of first n terms of an A.P. whose nth term is 3n+1.

If the sum of first n terms of an A.P. is cn^(2) then the sum of squares of these n terms is

If the ratio of the sum of m terms of an A.P. to the sum of n terms is m2 : n2. Show that the ratio of the 5th to 11th term is 3 : 7.

If the ratio of sum of m terms of an A.P. to the sum of n terms is (2m + 1) : (3n +1), find the ratio of 7th to 10th term

Find the sum to n terms of the A.P., whose k^(th) term is 5k+ 1 .

If the sum of first 7 terms of an AP is 49 and that of 17, terms is 289, find the sum of 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

If the sum of n terms of an A.P. is 3n^2 + 2n : Find the rth term.

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.