Find the sum to infinity of the series 2 frac 3... - JAMB Mathematics 2007 Question
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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