Find the sum to infinity of the series (frac{1}{4}), (frac{1}{8}), (frac{1}{16}),……….

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})
Correct Answer: Option A
Explanation

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})

There is an explanation video available below.

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