Question

The first two terms of a G.P. are 125 and 25 respectively. Find the $5^{th}$ and the $6^{th}$ terms of the G.P.

Answer 1

Given Here :- a = 125

r =$\frac{25}{125}$ = $\frac{1}{5}$

then ,

5th term = $a{r}^{n-1}$

5th term = $125\times {\frac{1}{5}}^{5-1}$

5th term = $125\times 1/5\times 1/5\times 1/5\times 1/5$

5th term = 1/5

then ,

6th term = $125\times 1/5\times 1/5\times 1/5\times 1/5\times 1/5$
= 1/25