The value of $0.\mathop {234}\limits^{\,\,\, \bullet \,\, \bullet } $ is
$\frac{{232}}{{990}}$
$\frac{{232}}{{9990}}$
$\frac{{232}}{{900}}$
$\frac{{232}}{{9909}}$
Suppose the sides of a triangle form a geometric progression with common ratio $r$. Then, $r$ lies in the interval
The terms of a $G.P.$ are positive. If each term is equal to the sum of two terms that follow it, then the common ratio is
Find the sum of $n$ terms in the geometric progression $\sqrt{7}, \sqrt{21}, 3 \sqrt{7}, \ldots$
Consider an infinite $G.P. $ with first term a and common ratio $r$, its sum is $4$ and the second term is $3/4$, then
If the ${10^{th}}$ term of a geometric progression is $9$ and ${4^{th}}$ term is $4$, then its ${7^{th}}$ term is