What is the following sum? (1/1*2) + (1/2*3) + (1/3*4) + . . . + (1/(n-1)n) Experiment, Conjucture the value, and then prove by induciton / means division, ex. 1/2=.5
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I assume that this is . Notice that you can write the term as . So that means we can rewrite the sum as , since all but the first and last term cancel.
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