Question on: JAMB Mathematics - 2007

Find the sum to infinity of the series (2+\frac{3}{2}+\frac{9}{8}+\frac{27}{32}+......)

A
1
B
2
C
8
D
4
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Correct Option: C

(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)

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