If it says 2n! in my book, should I interpret that as (2n)! or 2(n!)?

10 Answers

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  • Anonymous
    1 month ago

    I think that it should clarify what is meant.

  • 1 month ago

    This is a first! 8 answers, and they all are in agreement!

  • 1 month ago

    The common sense tells us that it should be 2(n!), i.e. 2 times n!.

  • Dixon
    Lv 7
    1 month ago

    Factorial only applies to the number it is next to, like powers.

    So 2n! = 2 (n!) just like 2x⁷ = 2(x⁷)

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  • 1 month ago

    It should strictly be interpreted as 2(n!) because the factorial takes precedence over the multiplication.

    That being said, if you want to describe the exact problem and the context, perhaps with a picture, I could tell you whether they were being sloppy or not.

  • 1 month ago

    (2n)! 

    = Γ(2 n + 1)

    2(n!)

    = 2 Γ(n + 1)

  • Jim
    Lv 7
    1 month ago

    I would say, and this is backed by WolframAlpha,

    2n! is considered to be 2*(n!)

  • 1 month ago

    If it doesn't have parenthesis anywhere, then only the n has the factorial:

    2(n!)

    The same logic goes with exponents:

    2x²

    The 2 is not squared, but here it is:

    (2x)²

  • ?
    Lv 7
    1 month ago

    Based upon properties of operations, 2n! = 2 (n!)

  • 2(n!).  If they meant (2n)!, then they should have described it as such.

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