Question on: JAMB Mathematics - 2007
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
= \(\frac{3}{4}\)
S\(\infty\) = \(\frac{a}{1 - r}\)
\(\frac{2}{1 - \frac{3}{4}}\)
= \(\frac{2}{\frac{1}{4}}\)
= 8
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