Question

find the 10th term of G. P : 5, 25, 125,​

Answer 1

Answer:

here is ur answer in this attachment

Answer 2

Given ,

First term , a = 5

Common ratio , r = 25/5 = 5

We know that , the nth term of a GP is given by

$\large \sf\fbox{ a_{n} = a {(r)}^{n - 1} }$

So ,

$\sf \hookrightarrow a_{10} = 5 \times {(5)}^{10 - 1} \\ \\ \sf \hookrightarrow a_{10} =5 \times {(5)}^{9} \\ \\ \sf \hookrightarrow a_{10} = {(5)}^{10} \\ \\ \sf \hookrightarrow a_{10} = 9765625$

Hence , the 10th term of GP is 9765625