Hi, I can't figure out how to arrive at the correct answer. Please help.
In the sequence a sub 1 (first term), a sub 2 (second term), a sub 3 (third term)….., a sub 100 (100th term), the k th term is defined by a sub k = 1/k - 1/(k+1) for all integers k from 1 through 100. What is the sum of the 100 terms of this sequence?
The answer is 100/101
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