Question

Find:

$\frac{1}{5}+\frac{1}{5^2}+\frac{1}{5^3}=?$

• A. 0.248
• B. 0.256
• C. 0.158
• D. 0.285

Answer 1

Answer:

A. 0.248

$\frac{1}{5}+\frac{1}{5^2}+\frac{1}{5^3}$

$=\frac{1\times2}{5\times2}+\frac{1}{25\times4}+\frac{1\times8}{125\times8}$

$=\frac{2}{10}+\frac{4}{100}+\frac{8}{125}$

$=0.2+0.04+0.008$

$=0.248$