SOLUTION: Prove that the reciprocals of any two consecutive integers have a product that is equal to the reciprocal of the smaller integer minus the reciprocal of the larger integer?

SOLUTION: Prove that the reciprocals of any two consecutive integers have a product that is equal to the reciprocal of the smaller integer minus the reciprocal of the larger integer?

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Question 956862: Prove that the reciprocals of any two consecutive integers have a product that is equal to the reciprocal of the smaller integer minus the reciprocal of the larger integer?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
n and n+1 are consecutive integers

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