SOLUTION: Please help me with the problem below: Find an expression for the product of the reciprocals of two consecutive integers.

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Question 919188: Please help me with the problem below:
Find an expression for the product of the reciprocals of two consecutive integers.

Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
two consecutive integers: x, (x+1)
product of the reciprocals
%281%2Fx%29%281%2F%28x%2B1%29%29+=+1%2F%28x%28x%2B1%29%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find an expression for the product of the reciprocals of two consecutive integers.
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Consecutive integers:
x
x+1
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There reciprocals::
1/x
1/(x+1)
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Ans:: (1/x)(1/(x+1) = 1/[x(x+1)] = 1/(x^2+x)
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Cheers,
Stan H.
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