The sum of n terms of an A.P. is `3n^2 + 4n`. Find the A.P.

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

If the sum of n terms of an A.P. is 3n^2 + 5n and its m^(th) term is 164, find the value of m.

If the sum of n terms of an A.P. is (pn+qn^2) , where p and g are constants, find the common difference.

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 sum of n terms of an A.P. is (pn + qn^2) , where p and q are constants, find the common difference.

If the sum of n terms of an A.P is nP+1/2 n(n-1)Q , where P and Q are constant, find the common difference.

The sum of n terms of an A.P. is 136, the common difference is 4 and the last term is 31, find the number of terms.

The ratio of the sums of m and n terms of an A.P. is m^2: n^2 . Show that the ratio of m^(th) and n^(th) term is (2m - 1 ) : (2n -1).

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P., and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

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