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How do you simplify 2n+2?

  1. Nov 14, 2009 #1
    Just a quick question. I'm having problems with factorials. For example, how do you simplify 2n+2!? Is it 2n!*2n+1!?

    Thanks everybody!
     
  2. jcsd
  3. Nov 14, 2009 #2

    Mark44

    Staff: Mentor

    Re: Factorials...

    Strictly speaking, 2n + 2! would be just 2n + 2, since 2! = 2. You probably meant (2n + 2)!, which is (2n + 2)*(2n + 1)*(2n)!.

    Edit: added a missing factor in the above.


    Note that 2n! is different from (2n)!. The first is 2(n*(n-1)*(n-2)*...*2*1). The second is 2n*(2n-1)*(2n-2)*...*2*1.

    You should get into the habit of using parentheses...
     
    Last edited: Nov 15, 2009
  4. Nov 14, 2009 #3

    Avodyne

    User Avatar
    Science Advisor

    Re: Factorials...

    Actually, it's (2n+2)*(2n+1)*(2n)!, but I'm sure you knew that.
     
  5. Nov 15, 2009 #4

    Mark44

    Staff: Mentor

    Re: Factorials...

    Yeah, knew that, but didn't manage to write it.
    I edited my earlier post.
     
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