Find the sum to infinity of the series 2 frac 2... - JAMB Mathematics 2007 Question
Find the sum to infinity of the series 2 + (\frac{2}{3}) + (\frac{9}{8}) + (\frac{27}{32}) + ....
A
1
B
2
C
4
D
8
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Correct Option: D
a = 2, r = (\frac{{\frac{3}{2}}}{3})
= (\frac{3}{4})
S(\infty) = (\frac{a}{1 - r})
(\frac{2}{1 - \frac{3}{4}})
= (\frac{2}{\frac{1}{4}})
= 8
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