Jambmaths question:
Find the sum to infinity of the series $2+\tfrac{3}{2}+\tfrac{9}{8}+\tfrac{27}{32}+---$
Option A:
8
Option B:
4
Option C:
2
Option D:
1
Jamb Maths Solution:
$\begin{align} & a=2,\text{ }r=\frac{\tfrac{3}{2}}{2}=\tfrac{3}{4} \\ & {{S}_{\infty }}=\frac{a}{1-r}=\frac{2}{1-\tfrac{3}{4}}=\frac{2}{\tfrac{1}{4}}=2\times 4=8 \\\end{align}$
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