If it says 2n! in my book, should I interpret that as (2n)! or 2(n!)?
- 4 weeks ago
I think that it should clarify what is meant.
- nbsale (Freond)Lv 61 month ago
This is a first! 8 answers, and they all are in agreement!
- PinkgreenLv 71 month ago
The common sense tells us that it should be 2(n!), i.e. 2 times n!.
- DixonLv 71 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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- PuzzlingLv 71 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.
- KrishnamurthyLv 71 month ago
= Γ(2 n + 1)
= 2 Γ(n + 1)
- JimLv 71 month ago
I would say, and this is backed by WolframAlpha,
2n! is considered to be 2*(n!)
- llafferLv 71 month ago
If it doesn't have parenthesis anywhere, then only the n has the factorial:
The same logic goes with exponents:
The 2 is not squared, but here it is:
- ?Lv 71 month ago
Based upon properties of operations, 2n! = 2 (n!)
- 1 month ago
2(n!). If they meant (2n)!, then they should have described it as such.