Question on: JAMB Mathematics - 2017
Find the sum to infinity of the series
(\frac{1}{4}), (\frac{1}{8}), (\frac{1}{16}),..........
A
\(\frac{1}{2}\)
B
\(\frac{3}{5}\)
C
\(\frac{-1}{5}\)
D
\(\frac{73}{12}\)
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Correct Option: A
Sum to infinity
∑ = arn − 1
= (\frac{a}{1}) − r
a = (\frac{1}{4})
r = (\frac{1}{8}) ÷ (\frac{1}{4})
r = (\frac{1}{s}) × (\frac{4}{1})
= (\frac{1}{2})
S = (\frac{1 \div 4}{1}) − (\frac{1}{2})
= (\frac{1}{4}) ÷ (\frac{1}{2})
= (\frac{1}{4}) × (\frac{2}{1})
= (\frac{1}{2})
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