The sum of P terms of an AP is `P^2`. Find the common difference.

The sum of n terms of an A.P is n^2 .Find the common difference.

The sum to n terms of an A.P. is n^(2) . Find the common difference.

If S_(n) =nP +1/2 n (n-1) Q, where S_(n) is the sum of first n terms of an A.P. then the common difference of the A.P. will be-

If S_n=n P+(n(n-1))/2Q ,w h e r eS_n denotes the sum of the first n terms of an A.P., then find the common difference.

If the P th term of an AP is (3P - 5), then find the common difference and 15th term of this AP.

If an A.P., the sum of 1st n terms is 2n^2 + 3n , then the common difference will

The sum of n terms of an A.P. is 3n^(2) + 5n . Find the number of the term which is equal to 152.

The first and last terms of an A.P. having a finite number of terms are respectively (-2) and 124 and the sum of the A.P. is 6161. Find the number of terms in the A.P. and also its common difference.

If the first term of an A.P. is 2 and common difference is 4, then the sum of its first 40 terms is-

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.