Three numbers are in $G.P.$ such that their sum is $38$ and their product is $1728$. The greatest number among them is
$18$
$16$
$14$
None of these
Which term of the following sequences:
$\quad 2,2 \sqrt{2}, 4, \ldots$ is $128 ?$
Evaluate $\sum\limits_{k = 1}^{11} {\left( {2 + {3^k}} \right)} $
The ${20^{th}}$ term of the series $2 \times 4 + 4 \times 6 + 6 \times 8 + .......$ will be
The sum can be found of a infinite $G.P.$ whose common ratio is $r$
Let $\mathrm{a}$ and $\mathrm{b}$ be be two distinct positive real numbers. Let $11^{\text {th }}$ term of a $GP$, whose first term is $a$ and third term is $b$, is equal to $p^{\text {th }}$ term of another $GP$, whose first term is $a$ and fifth term is $b$. Then $\mathrm{p}$ is equal to