If `s=a+ar+ar^(2)+ar^(3)+.......oo` then `s_(oo)=`. `(|r|<1)`

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

Let sum of ten numbers a, ar, ar^(2) , ... Ar^(9) is 18 and sum of their reciprocal is 6 then product of these ten numbers is.

a+ar_(1)+ar_(1)^(2)+...+oo and a+ar_(2)+ar_(2)^(2)+...+oo be two infinite series of positive numbers with the same first term.The sum of the first series is r_(1) and the sum of the second series r_(2). Then the value of (r_(1)+r_(2)) is

If a variate takes values a, ar,ar^(2),..ar^(n-1) which of the relation between means hold

In G.P series a+ar+ar^(2)+ ----+oo Sum of infinite terms S_(oo) =

Show that the products of the corresponding terms of the sequence a,ar, ar^(2),… ar^(n-1) and A,AR, AR^(2),…AR^(n-1) from a G.P. and find the common ratio.

Pick up the correct statement about the following pairs I : Ar and S^(2-) , II: Fe and Ni^(2+) (At. No. Ar = 18, S = 16, Fe = 26, Ni = 28)