Prove that in a convergent infinite G.P., each term bears a constant ratio to the sum of all the terms which follow it.

In a G.P., the third term is 24 and the 6th term is 192. Find the 10th term .

In a G.P., the third term is 24 and the 6th term is 192. Find the 8th term .

An infinite G.P. has first term ‘x’ and sum ‘5’, then x belongs to ,

If first term is 3 and common ratio is 3 then find the 6th term of G.P

The sum of an inifinite G.P. is 8. If the second term is 2, then find the first term and the series.

5th term of a G.P. is 2, then the product of first 9 terms is:

If the arithmetic progression whose common difference is nonzero the sum of first 3n terms is equal to the sum of next n terms. Then, find the ratio of the sum of the 2n terms to the sum of next 2n terms.

Soppose that all the terms of an arithmetic progression (AP) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6:11 and the seventh term lies between 130 and 140, then the common difference of this AP is

If the 10th term of a G.P. is 9 and 4th term is 4, then its 7th term is :