The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + … is
-
A.
11/3 -
B.
10/3 -
C.
5/2 -
D.
3/2
Correct Answer: Option D
Explanation
The series is geometric with common ratio (frac{1}{3}).
(S_{infty} = frac{a}{1 – r})
= (frac{1}{1 – frac{1}{3}} )
= (frac{1}{frac{2}{3}})
= (frac{3}{2})