Find the sum to infinity of the series (2+frac{3}{2}+frac{9}{8}+frac{27}{32}+……)
-
A.
1 -
B.
2 -
C.
8 -
D.
4
Correct Answer: Option C
Explanation
(a=2\
r = frac{3}{4}\
S = frac{a}{1-r}\
S= frac{2}{1-frac{3}{4}}\
= frac{2}{frac{1}{4}}\
S = frac{2}{1}times frac{4}{1}\
= 8)