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2021 MIG
15
15
Part of
2021 MIG
Problems
(1)
2021 Individual #15
Source:
4/28/2022
Which of the following answer choices is the closest approximation to
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\dfrac34+\dfrac78+\dfrac{15}{16}+\cdots+\dfrac{1023}{1024} = \dfrac{2^2-1}{2^2}+\dfrac{2^3-1}{2^3}+\cdots+\dfrac{2^{10}-1}{2^{10}}?
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<span class='latex-bold'>(A) </span>\dfrac{15}{2}\qquad<span class='latex-bold'>(B) </span>8\qquad<span class='latex-bold'>(C) </span>\dfrac{17}{2}\qquad<span class='latex-bold'>(D) </span>9\qquad<span class='latex-bold'>(E) </span>\dfrac{19}{2}
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2021 Individual