Question 19

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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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