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