If the sum of first nine terms of an A.P is 171 and that of first 24 terms is 996,find the sum of first 41 terms.

The sum of first nine terms of an A.P. is 171 and that of 24 terms is 996. Find the sum of first 16 terms.

The sum of first n terms of an A.P. is m and that of first m terms is n. Prove that the sum of first m + n terms is -(m + n) .

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

The sum of first P terms of an A.P. is equal to that of the first Q terms. Prove that the sum of first (P+Q) terms is zero.

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 first two terms?What is the second term?Similarly,find the 3rd,the 10th and nth terms.

If the sum of three consecutive terms of an A.P is 21 and the sum of the squares of the terms is 165,find the terms.

Find the sum of first 22 terms of an AP in which d=7 and 22nd terms is 149.

The sum of fIrst n terms of an A.P series is 26n-2n^2 . Find the fifth term.

If the sum of three consecutive numbers of an A.P is 36 and the product of the three terms is 1140,find the term.

The sum of the third and the seventh terms of an AP is 6 and their product is 8.Find the sum of first sixteen terms of the AP.