Find the $10^{\text {th }}$ and $n^{\text {th }}$ terms of the $G.P.$ $5,25,125, \ldots$
Find the $10^{\text {th }}$ and $n^{\text {th }}$ terms of the $G.P.$ $5,25,125, \ldots$
Here $a=5$ and $r=5 .$ Thus, $a_{10}=5(5)^{10-1}=5(5)^{9}=5^{10}$
and $\quad a_{n}=a r^{n-1}=5(5)^{n-1}=5^{n}$
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- [IIT 1988]