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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