The sum of $3$ numbers in geometric progression is $38$ and their product is $1728$. The middle number is
$12$
$8$
$18$
$6$
If $a$,$b$,$c \in {R^ + }$ are such that $2a$,$b$ and $4c$ are in $A$.$P$ and $c$,$a$ and $b$ are in $G$.$P$., then
If $p,\;q,\;r$ are in one geometric progression and $a,\;b,\;c$ in another geometric progression, then $cp,\;bq,\;ar$ are in
Insert two numbers between $3$ and $81$ so that the resulting sequence is $G.P.$
The sum to infinity of the progression $9 - 3 + 1 - \frac{1}{3} + .....$ is
In a $G.P.,$ the $3^{rd}$ term is $24$ and the $6^{\text {th }}$ term is $192 .$ Find the $10^{\text {th }}$ term.