Question

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

Answer 1

1,1,1

Explanation:

Answer 2

see below

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