Find the sum to infinity to the following series 3 + 2 + 43 4 3 + 89 8 9 + 1617 16 17 + .....

Find the sum to infinity to the following series 3 + 2 + $\frac{4}{3}$ + $\frac{8}{9}$ + $\frac{16}{17}$ + .....

Answer Details

3 + 2 + $\frac{4}{3}$ + $\frac{8}{9}$ + $\frac{16}{17}$ + .....
a = 3
r = $\frac{2}{3}$
s $\alpha$ = $\frac{a}{1-r}$ = $\frac{3}{1-\frac{2}{3}}$
= $\frac{3}{\frac{1}{3}}$
= 3 x 3
= 9