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Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 +...

Mathematics
JAMB 2010

Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....

  • A. \(\frac{5}{8}\)
  • B. \(\frac{5}{7}\)
  • C. \(\frac{5}{11}\)
  • D. \(\frac{5}{9}\)
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Correct Answer: Option D
Explanation

Using S\(\infty\) = \(\frac{a}{1 - r}\)

r = \(\frac{0.05}{0.5}\) = \(\frac{1}{10}\)

S\(\infty\) = \(\frac{0.5}{{\frac{1}{10}}}\)


= \(\frac{0.5}{({\frac{9}{10}})}\)

= \(\frac{0.5 \times 10}{9}\)

= \(\frac{5}{9}\)

There is an explanation video available below.


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Explanation Video

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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995