An infinite G.P. has first term as `a` and sum 5, then `a` belongs to a) `|a| < 10` b) `-10 < a < 0` c) `0 < a < 10` d) `a > 10`

If an infinite G.P. has the first term a and the sum 5, then which one of the following is correct?

Statement 1: If an infinite G.P. has 2nd term x and its sum is 4, then x belongs to (-8,1)dot Statement 2: Sum of an infinite G.P. is finite if for its common ratio r ,0<|r|<1.

Find an infinite G.P. whose first term is 1 and each term is the sum of all the terms which follow it.

If an infinite G.P. has 2nd term x and its sum is 4, then prove that xin(-8,1]-{0}

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

In an infinite G.P. the sum of first three terms is 70. If the externme terms are multipled by 4 and the middle term is multiplied by 5, the resulting terms form an A.P. then the sum to infinite terms of G.P. is :

The sum of an infinite G.P. . Is 6 and its first term is 2 . Find the series

If in an infinite G.P., first term is equal to 10 times the sum of all successive terms then its common ratio is 1//10 b. 1//11 c. 1//9 d. 1//20

A G.P. has first term 729 and 7th term 64. Find the sum of its first 7 terms.

If the first term of an infinite G.P. is 1 and each term is twice the sum of the succeeding terms, then the sum of the series is