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In the sequence a1, a2, a3,....a100, the kth term is defined [#permalink]
24 Feb 2016, 15:57

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In the sequence a1, a2, a3,....a100, the kth term is defined as \(ak= \frac{1}{k} - \frac{1}{k+1}\) for all integers k from 1 through 100. What is the sum of 100 terms of the sequence?