If $x,\,2x + 2,\,3x + 3,$are in $G.P.$, then the fourth term is
$27$
$- 27$
$13.5$
$- 13.5$
If the ratio of the sum of first three terms and the sum of first six terms of a $G.P.$ be $125 : 152$, then the common ratio r is
The first term of a $G.P.$ whose second term is $2$ and sum to infinity is $8$, will be
The first two terms of a geometric progression add up to $12.$ the sum of the third and the fourth terms is $48.$ If the terms of the geometric progression are alternately positive and negative, then the first term is
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
If every term of a $G.P.$ with positive terms is the sum of its two previous terms, then the common ratio of the series is