The sum of first n termsof an A.P., is `2n^2 + 3n`. Find th series.

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 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 3n^2 + 5n and its m^(th) term is 164, find the value of m.

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 the first n terms of an AP is 4n - n^2 , what is the first term (that is S_1 .) ? What is the sum of two terms ? What is the second term ? Similarly, find the 3rd, the 10th and the nth terms.

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

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).

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