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# Maths Proof - Help! Watch

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1. Show that the product of the first n even positive integers is 2n(n!). [Hint: you can do it in one line.]

2. (Original post by Higherdude)
Show that the product of the first n even positive integers is 2n(n!). [Hint: you can do it in one line.]

3. Couldnt you just do it by induction?
4. (Original post by DylanJ42)

I have done this, and I have also used 2x4x6x8...x2n

But I don't know what to do after that...
5. (Original post by Higherdude)
I have done this, and I have also used 2x4x6x8x2n

But I don't know what to do after that...

now take all those 2s at the front of the brackets to the front and get

=
6. (Original post by an_atheist)
Couldnt you just do it by induction?
Lol a bit overkill. It trivially follows from the definition of factorial, as DylanJ42 showed.
7. (Original post by IrrationalRoot)
Lol a bit overkill. It trivially follows from the definition of factorial, as DylanJ42 showed.
But it is possible. If you cannot think of a place to start, then it is as valid a thing to try as any.
Very lengthy though it may be.
8. It was actually meant to be 2^n

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