If there be n quantities in G.P., whose common ratio is r and `S_(m)` denotes the sum of the first m terms, then the sum of their products, taken two by two, is

If there be m quantities in a G.P. whose common ratio is r and S_(m) denote the sum of first m terms, prove that the sum of their products taken two and two together is (r)/(r+1)*S_(m)*S_(m-1) .

Find the third term of a G.P. whose common ratio is 3 and the sum of whose first seven terms is 2186

Find the first term of the G.P. whose common ratio 5 and whose sum to the 6 terms is 46872.

If S_(n) denotes the sum of the products of the products of the first n natureal number taken two at a time

If S is the sum to infinite terms of a G.P whose first term is 'a', then the sum of the first n terms is

The sum of an infinite G.P. whose common ratio is numerically less than 1 is 32 and the sum of the first two terms is 24. Find the terms of G.P.

The sum of an infinite G.P. whose common ratio is numerically less than 1 is 32 and the sum of the first two terms is 24. Find the terms of G.P.

.Find the G.P., if the common ratio of G.P. is 3, nth term is 486 and sum of first n terms is 728.

If S is the sum to infinite terms of a G.P.whose first term is 'a',then the sum of the first n terms is