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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
The series is geometric with common ratio \(\frac{1}{3}\).
\(S_{\infty} = \frac{a}{1 - r}\)
= \(\frac{1}{1 - \frac{1}{3}} \)
= \(\frac{1}{\frac{2}{3}}\)
= \(\frac{3}{2}\)
Source: Myschool Past Questions Archive (Record #3370)