I'm Tina and I'm like the same as you- GCSE to A level ish.

Yeah I really want to get into the olympiad too and do a kangaroo, so I posted this thing asking for help - it's called "JMC and IMC (or SMC) takers?!" and it's located in the 'Help' section of the forum. It's like, the first or second one down. You might wanna read the replies and

you might want to see it, I'm only doing IMC next year cause I'm young but I can manage. I know what calculus is.

Yeah aside from that let's be friends together!!!! Are you Japanese by any chance 'daijoubu' sounds like from anime XD

]]>Arrh. I see. In that case I'm happy with the proof.

Bob

]]>Welcome to the forum.

You might enjoy some of the problems here:

http://nrich.maths.org/frontpage

I didn't follow your proof in post 5.

prove that the sum of 4 consecutive numbers is odd.

n

2n = even

2n + or - 1 = odd(n-1)+n +(n+1) + (n+2)

1/2(4n+2)

2n+1

therefore 2n+1 is odd.

Four consecutive numbers will have two odd and two even.

As ODD + ODD = EVEN

and

EVEN + EVEN = EVEN

surely the four will sum to an EVEN result.

You have this total: 4n + 2 and show that it divides by 2. Doesn't that mean you have proved the EVEN result?

I'm puzzled ...

You can learn about induction here:

http://www.mathsisfun.com/algebra/mathe … ction.html

Bob

]]>Welcome to the forum!

]]>Here are a few more.

http://www.wyzant.com/help/math/precalculus

http://cims.nyu.edu/~kiryl/precalculus.html

https://www.math.ucdavis.edu/~marx/precalculus.html

You can always come in here and ask when you do not understand something.

Also, you might want to head down to brilliant.org and signup there too. They will rate you and give you olympiad style questions each week.

]]>Do you know anymore? I also would like to know of websites with practice questions with solutions, tutorials, or information that goes into depth. It may seem counter intuitive but the more information i'm bombarded with about a topic, the easier it is for me to understand and remember.

]]>I am interested in basic proofs but never really understood them that well. We moved from demonstration to basic proof but the teachers never really explained it well.

prove that the sum of 4 consecutive numbers is odd.

n

2n = even

2n + or - 1 = odd

(n-1)+n +(n+1) + (n+2)

1/2(4n+2)

2n+1

therefore 2n+1 is odd.

I'm interested in proofs but barely know the basics. I am going to look at proof by induction soon but proofs seem more difficult to understand than anything I have done so far.

]]>You want precalculus?

The fun comes when you work on a problem as hard as you can and it finally cracks and you solve it. And you know what? The more you solve the more joy you get.

]]>Welcome to the forum. It is good to have that as an ambition but whether you get to be an Olympiad winner or not is of secondary importance. Mathematics plays a big part in technology and science and there is an ever increasing demand for those skilled in it. Also it is beautiful and captivating and can bring you many hours of joy. So whether you become a champion or a mathematician or a hobbyist you can still enjoy it for its own sake.

That is reason enough to be here. So welcome!

]]>