The numbers $(\sqrt 2 + 1),\;1,\;(\sqrt 2 - 1)$ will be in
$A.P.$
$G.P.$
$H.P.$
None of these
The sum of infinite terms of a $G.P.$ is $x$ and on squaring the each term of it, the sum will be $y$, then the common ratio of this series is
Insert two numbers between $3$ and $81$ so that the resulting sequence is $G.P.$
If every term of a $G.P.$ with positive terms is the sum of its two previous terms, then the common ratio of the series is
If in a geometric progression $\left\{ {{a_n}} \right\},\;{a_1} = 3,\;{a_n} = 96$ and ${S_n} = 189$ then the value of $n$ is
Find the sum of the products of the corresponding terms of the sequences $2,4,8,16,32$ and $128,32,8,2, \frac{1}{2}$