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.

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p+ q) terms.

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

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

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

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

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 first term of an A.P. is 5 and its 100th term is - 292. Find the 50th term of this A.P.

The first term of an A.P. is 5 and 100th term is - 292. Find the 50th term of the A.P.