The sum oif the first ten terms of an A.P. is equal to 155, and the sum of the first two terms of a G.P. is 9. Find these progressionsif the first term of the A.P. equals the common ratio of the G.P. and the 1st term of G.P. equals the common difference of A.P.

The sum of the first ten terms of an A.P. , equals 155 and the sum of the first two terms of a G.P. equals 9. The first term of the A.P. is equal to the common ratio of the G.P. and the common difference of the A.P. is equal to the first term G.P.. Give that the common difference of the A.P. is less then unity, which of the following is correct ?

If the n^(t h) term of an A.P. is (2n+1), find the sum of first n terms of the A.P.

The sum of first 5 terms and first 15 terms of an A.P. are equal. Find the sum of its first 20 terms.

The sum of first 8 terms and first 24 terms of an A.P. are equal. Find the sum of its 32 terms.

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.

The sum of first p- terms terms of an A.P. is q and the sum of first q terms is p, find the sum of first (p + q)

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.

The sum of 5 and 15 terms of an A.P. are equal. Find the sum of 20 terms of this A.P.