Sum of G.P#!#Sum of Infinite G.P#!#Properties of G.P

If a,b,c be 7 th 11 th and 13 th terms respectively of a non constant A.P.If these are also the three consecutive terms of a G.P the sum of infinite terms of this G.P is Ka then K=?

If |r|<1, then the sum of infinite terms of G.P is

Arithmetic mean||G.P,Sum OF GP Series||Sum OF infinite series, Infinite series

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 :

In a G.P.the product of the first four terms is 4 and the second term is the reciprocal of the fourth term.The sum of infinite terms of the G.P is

If a,ar,ar^(2),ar^(3),....... are in G.P,then the sum of infinite terms of GP, if |r|<1 =

Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The common ratio of the G.P. is

. The sum of an infinite number of terms of a G.P.is 20 ,and the sum of their squares is 100, then the first term of the G.P.is

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.