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

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

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

The Out Campaign: Scarlet Letter of Atheism

RELATED QUESTIONS
Dear math teacher, I am having difficulties with the following problem: 4 times nC2 (answered by Theo)

Please help me, solve the given problems involving factorials Show that ( n+... (answered by reviewermath)

nP4=84nC2 Solve for n using factorial notation I'm really struggling with this... (answered by ikleyn)

Please help me solve this: {{{ (2^n-6^n)/(1-3^n)... (answered by Alan3354)

Find aV6 for aVn=8(1/2)^n, n=1,2,3,4,... Please help me to solve this... (answered by venugopalramana)

solve for n... (answered by Fombitz)

Please help me solve this... (answered by mananth)

Please help me solve this equation. 2(3n(n-2)) = 3(2n(n-1)+12 (answered by ikleyn)

Dear math teacher, Would you please explain why n cannot equal -4 and 5 as a solution (answered by solver91311)