The numbers $(\sqrt 2 + 1),\;1,\;(\sqrt 2 - 1)$ will be in
$A.P.$
$G.P.$
$H.P.$
None of these
If the sum of three terms of $G.P.$ is $19$ and product is $216$, then the common ratio of the series is
If the first term of a $G.P. a_1, a_2, a_3......$ is unity such that $4a_2 + 5a_3$ is least, then the common ratio of $G.P.$ is
A $G.P.$ consists of an even number of terms. If the sum of all the terms is $5$ times the sum of the terms occupying odd places, then the common ratio will be equal to
The first term of a $G.P.$ is $1 .$ The sum of the third term and fifth term is $90 .$ Find the common ratio of $G.P.$
If the sum of an infinite $G.P.$ be $9$ and the sum of first two terms be $5$, then the common ratio is