10^{text {th }} and n^{text {th }} terms of G.P. 5,25,125, ldots

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8. Sequences and Series

easy

Find the $10^{\text {th }}$ and $n^{\text {th }}$ terms of the $G.P.$ $5,25,125, \ldots$

A

$5^{n}$

B

$5^{n}$

C

$5^{n}$

D

$5^{n}$

Solution

Here $a=5$ and $r=5 .$ Thus, $a_{10}=5(5)^{10-1}=5(5)^{9}=5^{10}$

and $\quad a_{n}=a r^{n-1}=5(5)^{n-1}=5^{n}$

Standard 11

Mathematics

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