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#1 2007-05-11 13:28:20

Shadow
Guest

Mathematical Induction

Hey i am having trouble solving this problem any help would be great thanx.
Use mathematical induction to show that

#2 2007-05-11 17:08:19

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: Mathematical Induction

Do you know the binomial theorem?


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#3 2007-05-11 17:50:17

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: Mathematical Induction


Numbers are the essence of the Universe

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#4 2007-05-12 12:54:20

Shadow
Guest

Re: Mathematical Induction

ok thanx for the help smile

#5 2007-05-12 15:46:58

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: Mathematical Induction

Yep, looks like you don't need binomial theorem after all, good call Stan.  Though I'm sure it'd work...


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#6 2007-05-13 01:03:25

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Mathematical Induction

Correct me if I'm wrong, but I thought that Shadow's statement was the Binomial Theorem.


Why did the vector cross the road?
It wanted to be normal.

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#7 2007-05-13 05:39:02

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: Mathematical Induction

Binomial theorem is:

Where C(n, i) is n choose i.


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#8 2007-05-13 18:28:52

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: Mathematical Induction


Numbers are the essence of the Universe

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