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#1 2007-05-11 13:28:20
- Shadow
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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
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- 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
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- 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 
#5 2007-05-12 15:46:58
- Ricky
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- Registered: 2005-12-04
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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
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- 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
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- Registered: 2005-12-04
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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
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- Registered: 2006-12-13
- Posts: 345
Re: Mathematical Induction
Numbers are the essence of the Universe
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