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Remove Term for Unit Fraction Sum Equals One

1000BeginnerSeriesAlgebra

South African Mathematics Olympiad First Round

Which term must be removed from the sequence $\frac{1}{2}$, $\frac{1}{4}$, $\frac{1}{6}$, $\frac{1}{10}$ and $\frac{1}{12}$ so that the sum of the remaining terms is equal to 1? (A) $\frac{1}{2}$ (B) $\frac{1}{4}$ (C) $\frac{1}{6}$ (D) $\frac{1}{10}$ (E) $\frac{1}{12}$
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