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Bingel [31]
3 years ago
11

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)      

1

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

n(n+1)

Separate into two fractions

1        1

---- * ------

n       n+1

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