Question

The given G.P $0.15,0.015,0.0015,...20$ terms can be written as?

Answer 1

$0.15,0.015,0.0015,......,\text{20 terms}$

The above series is in G.P. and can also be written as-

$\frac{15}{100},\frac{15}{1000},\frac{15}{10000},.......\text{20 terms}$

$\Rightarrow \frac{15}{{10}^2},\frac{15}{{10}^3},\frac{15}{{10}^4},.......\text{20 terms}$

$\Rightarrow \frac{15}{{10}^{1+1}},\frac{15}{{10}^{2+1}},\frac{15}{{10}^{3+1}},.......\text{20 terms}$

Therefore, general term of the above series can be written as-

$T_r=\frac{15}{{10}^{r+1}}$