[tex] \frac{3}{5} + \frac{3}{2 \times 5 {}^{2} } + \frac{3}{2 \times 5 {}^{3} } + \frac{3}{2 \times 5 {}^{4} } [/tex]
[tex] \frac{3}{5} + \frac{3}{2 \times 25} + \frac{3}{2 \times 125} + \frac{3}{2 \times 625} [/tex]
[tex] \frac{3}{5} + \frac{3}{50} + \frac{3}{250} + \frac{3}{1250} [/tex]
[tex] \frac{84}{125} + \frac{3}{1250} [/tex]
[tex] \frac{843}{1250} [/tex]
