If $b$ is the first term of an infinite $G.P$ whose sum is five, then $b$ lies in the interval
$\left( { - \infty ,-10} \right)$
$\left( {10,\infty } \right)$
$\left( {0,10} \right)$
$\left( { - 10,0} \right)$
The two geometric means between the number $1$ and $64$ are
If the sum of first 6 term is $9$ times to the sum of first $3$ terms of the same $G.P.$, then the common ratio of the series will be
Find the sum up to $20$ terms in the geometric progression $0.15,0.015,0.0015........$
If the roots of the cubic equation $a{x^3} + b{x^2} + cx + d = 0$ are in $G.P.$, then
If the geometric mean between $a$ and $b$ is $\frac{{{a^{n + 1}} + {b^{n + 1}}}}{{{a^n} + {b^n}}}$, then the value of $n$ is