Correct Answer: Option C

Explanation

S\(_{∞}\) = \(\frac{\text{a}}{(1-r)}\), where a = \(\frac{1}{2}\), r = -\(\frac{1}{2}\).

S\(_{∞}\) = \(\frac{\frac{1}{2}}{1 - \frac{-1}{2}}\)  = \(\frac{\frac{1}{2}}{\frac{3}{2}}\) = \(\frac{1}{2}\) x \(\frac{2}{3}\)
\(\frac{1}{3}\) - 1 = -\(\frac{2}{3}\)

There is an explanation video available below.

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