The expression : $$\frac{3}{4}$$ + $$\frac{5}{36}$$ + $$\frac{7}{144}$$ + ..... + $$\frac{17}{5184}$$ + $$\frac{19}{8100}$$ is equal to :

A. 0.9

B. 0.95

C. 0.99

D. 1.91

Answer: Option C

Solution(By Examveda Team)

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