If $x, {G_1},{G_2},\;y$ be the consecutive terms of a $G.P.$, then the value of ${G_1}\,{G_2}$ will be
$\frac{y}{x}$
$\frac{x}{y}$
$xy$
$\sqrt {xy} $
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 $G$ be the geometric mean of $x$ and $y$, then $\frac{1}{{{G^2} - {x^2}}} + \frac{1}{{{G^2} - {y^2}}} = $
If $a, b, c$ and $d$ are in $G.P.$ show that:
$\left(a^{2}+b^{2}+c^{2}\right)\left(b^{2}+c^{2}+d^{2}\right)=(a b+b c+c d)^{2}$
The interior angle of a $'n$' sided convex polygon are in $G.P$.. The smallest angle is $1^o $ and common ratio is $2^o $ then number of possible values of $'n'$ is
The first term of a $G.P.$ is $7$, the last term is $448$ and sum of all terms is $889$, then the common ratio is