errrr....

Coming back late every weekends until 5 AM ?

I think I'm making a bad examples to my brothers.

Anyway, Jason was trying to test my IQ by giving me one of the Maths questions from his textbook. Personally he already knew how to do by the formula given by his teacher, which he didn't understand and he wanted to ask me this question as if challenging me if I can solve this so called "brainworks" question. Fine, I accepted the challenge, even though I didn't have much sleep at all.

n=1
S=1
P=1

n=2
S=1+2 = 3
P= 1^3 + 2^3 = 9

n=3
S=1+2+3=6
P=1^3+2^3+3^3 = 36

So on and so forth.....

a) Find the equation that links S and n (which is seemingly the hardest part of this question. If you can solve this, you can solve all the other parts)

b) Find the equation that links S and P.

c)
i) Find 1+2+3+.....+100 ii) Find 1^3 + 2^3 + 3^3 + ..... + 100^3

Surprisingly I finished this question within less than 5 minutes. o.O It was confusing at first, but after a few trials and errors, I finished it as quickly as I finish the O level maths paper.

Even though this was not included in this question, but I would find this interesting and it would add in more challenge into this.

Find the equation that links P and n.

I haven't had time to try this yet. Meanwhile, just crack your skulls a little bit and post your answer here. ^^

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Wow, finally I am going to work. Good pay good pay.



EDIT: Sorry, the last part was actually included in the question, and it was actually not hard at all. Hehe. Probably my mind was not very fresh at 5 AM so. Haha ^^ Apology.