The $5^{ ext {th }}$ and $8^{ ext {th }}$ terms of a G.P. are 1458 and 54 respectively. The common

Question

The $5^{	ext {th }}$ and $8^{	ext {th }}$ terms of a G.P. are 1458 and 54 respectively. The common ratio of the G.P. is\

Professor PC Thomas Classes · Answer

$a_{5}=a r^{4}=1458, a_{8}=a r^{7}=54$\ $\Rightarrow r^{3}=\frac{1}{27} \Rightarrow r=\frac{1}{3}$\