Let the first term $a$ and the common ratio $r$ of a geometric progression be positive integers. If the sum of its squares of first three terms is $33033$, then the sum of these three terms is equal to
$231$
$210$
$220$
$241$
If $\frac{{x + y}}{2},\;y,\;\frac{{y + z}}{2}$ are in $H.P.$, then $x,\;y,\;z$ are in
The sum of an infinite geometric series is $3$. A series, which is formed by squares of its terms, have the sum also $3$. First series will be
Find the sum of the following series up to n terms:
$6+.66+.666+\ldots$
The third term of a $G.P.$ is the square of first term. If the second term is $8$, then the ${6^{th}}$ term is
The first term of an infinite geometric progression is $x$ and its sum is $5$. Then