The $6^{th}$ term of a $G.P.$ is $32$ and its $8^{th}$ term is $128$, then the common ratio of the $G.P.$ is
$-1$
$2$
$4$
$-4$
The roots of the equation
$x^5 - 40x^4 + px^3 + qx^2 + rx + s = 0$ are in $G.P.$ The sum of their reciprocals is $10$. Then the value of $\left| s \right|$ is
The sum of the series $3 + 33 + 333 + ... + n$ terms is
For what values of $x$, the numbers $\frac{2}{7}, x,-\frac{7}{2}$ are in $G.P.$?
A $G.P.$ consists of an even number of terms. If the sum of all the terms is $5$ times the sum of the terms occupying odd places, then the common ratio will be equal to
If $x,\;y,\;z$ are in $G.P.$ and ${a^x} = {b^y} = {c^z}$, then