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Mathematics 13 Online
OpenStudy (kainui):

I've got a tricky question for anyone interested. ;P

OpenStudy (anonymous):

sup?

OpenStudy (kainui):

Simplify this expression\[\LARGE 1+\prod_{k=1}^n(n-e^{i 2\pi k/n})\]

OpenStudy (anonymous):

sike.

OpenStudy (arabpride):

x'D ^ N00b smh .... my eyez are bleeding though x.x have no idea what that is cx

OpenStudy (anonymous):

yep lol

OpenStudy (arabpride):

I lost you after the "1 +" cx

OpenStudy (kainui):

I guess a hint would be, try plugging in numbers for n, like n=1 and n=2 to see what you get haha. Do you know what that giant pi thing means? It just means multiplication. So for example: \[\LARGE \prod_{k=1}^3k^2=1^2*2^2*3^2\]

OpenStudy (kainui):

@iambatman @ikram002p @ganeshie8 @No.name @dan815 @abb0t @Jesstho.-. @bibby @Somy

OpenStudy (kainui):

Can anyone tell me what they get for n=1, n=2, n=3, and n=4? ;)

OpenStudy (ikram002p):

is the answer n^n :D

OpenStudy (ikram002p):

cool , nice question ;)

OpenStudy (ikram002p):

i got stuck a bit when n is odd , it gives several values hehehe but i tried to get the real one xD

Miracrown (miracrown):

Alright, so let's just work some cases like you suggested n =1, n = 2 because then maybe an inductive form falls out

Miracrown (miracrown):

|dw:1412843996781:dw|

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