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3 years ago

The difference of the reciprocals of two successive integers equals the product of their reciprocals

Mathematics

1 answer:

sergey [27]3 years ago

5 0

Answer:

see below

Step-by-step explanation:

1 1

--- - --------

n n+1

Get a common denominator

1(n+1) 1(n)

---------- - --------

n(n+1) (n+1)n

n+1 - n

-----------------

n(n+1)

-----------------

n(n+1)

Separate into two fractions

1 1

---- * ------

n n+1

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