The expression : 3/4 + 5/36 + 7/144 + ..... + 17/5184 + 19/8100 is equal to :

Answer: Option C

Given expression :
$$=\left(1-\frac{1}{4}\right)+\left(\frac{1}{4}-\frac{1}{9}\right)+\left(\frac{1}{9}-\frac{1}{16}\right)$$       $$+.....+$$   $$\left(\frac{1}{81}-\frac{1}{100}\right)$$
$$\begin{array}{rl}& =1-\frac{1}{100}\\ & =\frac{99}{100}\\ & =0.99\end{array}$$