The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + … is
- 11/3
- 10/3
- 5/2
-
3/2
The correct answer is: D
Explanation
The series is geometric with common ratio \(\frac{1}{3}\).
\(S_{\infty} = \frac{a}{1 - r}\)
= \(\frac{1}{1 - \frac{1}{3}} \)
= \(\frac{1}{\frac{2}{3}}\)
= \(\frac{3}{2}\)