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Find the sum to infinity to the following series 3 + 2 + \(\frac{4}{3}\) +...

Mathematics
JAMB 1992

Find the sum to infinity to the following series 3 + 2 + \(\frac{4}{3}\) + \(\frac{8}{9}\) + \(\frac{16}{17}\) + .....
  • A. 1270
  • B. 190
  • C. 18
  • D. 9
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Correct Answer: Option D
Explanation
3 + 2 + \(\frac{4}{3}\) + \(\frac{8}{9}\) + \(\frac{16}{17}\) + .....

a = 3

r = \(\frac{2}{3}\)

s \(\alpha\) = \(\frac{a}{1 - r}\) = \(\frac{3}{1 - \frac{2}{3}}\)

= \(\frac{3}{\frac{1}{3}}\)

= 3 x 3

= 9

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