You are Here: Home >< Maths

# Maths Proof - Help!

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

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: October 1, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### Five things students are doing right now

Should you be doing them as well?

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams