SOLUTION: Please help me solve this problem: Show that (n + 1) ! ______ = n^3

Click here to see ALL problems on Sequences-and-series

Question 749205: Please help me solve this problem:
Show that
(n + 1) !
______ = n^3 - n for n equal or greater than 2.
(n - 2)
To use this equation for n =1, explain why it is necessary to define 0! = 1 ( this is a standard definition of 0!).
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Not true for n = 2 because if n = 2 you have a zero denominator in the LHS.

It is true for n = 3 and n = 4, but it is not true for .

Now if what you meant to say was: , then that is a horse of an entirely different color.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

SOLUTION: Please help me solve this problem: Show that (n + 1) ! ______ = n^3 - n for n equal or greater than 2. (n