If $a,\;b,\;c$ are ${p^{th}},\;{q^{th}}$ and ${r^{th}}$ terms of a $G.P.$, then ${\left( {\frac{c}{b}} \right)^p}{\left( {\frac{b}{a}} \right)^r}{\left( {\frac{a}{c}} \right)^q}$ is equal to
$1$
${a^p}{b^q}{c^r}$
${a^q}{b^r}{c^p}$
${a^r}{b^p}{c^q}$
Three numbers are in $G.P.$ such that their sum is $38$ and their product is $1728$. The greatest number among them is
The sum of first three terms of a $G.P.$ is $\frac{13}{12}$ and their product is $-1$ Find the common ratio and the terms.
If $a, b$ and $c$ be three distinct numbers in $G.P.$ and $a + b + c = xb$ then $x$ can not be
The value of $\overline {0.037} $ where, $\overline {.037} $ stands for the number $0.037037037........$ is
The G.M. of the numbers $3,\,{3^2},\,{3^3},\,......,\,{3^n}$ is