The first term of a $G.P.$ is $7$, the last term is $448$ and sum of all terms is $889$, then the common ratio is
$5$
$4$
$3$
$2$
The product $(32)(32)^{1/6}(32)^{1/36} ...... to\,\, \infty $ is
If the $p^{\text {th }}, q^{\text {th }}$ and $r^{\text {th }}$ terms of a $G.P.$ are $a, b$ and $c,$ respectively. Prove that
$a^{q-r} b^{r-p} c^{p-q}=1$
How many terms of the $G.P.$ $3, \frac{3}{2}, \frac{3}{4}, \ldots$ are needed to give the sum $\frac{3069}{512} ?$
If $y = x + {x^2} + {x^3} + .......\,\infty ,\,{\rm{then}}\,\,x = $
Which term of the following sequences:
$\quad 2,2 \sqrt{2}, 4, \ldots$ is $128 ?$