152. If the common difference of an A.P. equals to the first term, then the ratio of its mth term and nth term is

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 ?

The sum of the fist 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 sum of first 10 terms of an A.P. is 4 times the sum of its first 5 terms, then find the ratio of first term and common difference.

If the sum of first 10 terms of an A.P. is 4 times the sum of its first 5 terms, then find the ratio of first term and common difference.

If the ratio of the sum of m terms and n terms of an A.P. be m^2 : n^2 , prove that the ratio of its mth and nth terms is (2m-1): (2n-1) .

If m times the mth term of an A.P. with non-zero common difference equals n times the nth term of the A.P., where m ne n , then (m+n)th term of this A.P. is

If m times the mth term of an A.P. is equal to n times its nth term, find (m + n) th term of the A.P.:

If m times the mth term of an A.P is equal to n times its nth term then show that (m+n)th term of the A.P is zero .