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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,005

*The winner of the giant $ 1,000 puzzle contest is Mrs. Winifred Spellright *

**12, 1, 1, 1, 2, 1, 3, _ , _ , _ , _**

**It seems that the other contestants in our annual puzzle contest are not taking the good fortune of Winifred Spellright very well. The puzzle was to figure out what the next four numbers should be in the progression puzzle given above. Get your handkerchiefs ready, you have only five minutes to solve this one. **

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,631

I detect a hint of Fibonacci ...

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,005

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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

MathsIsFun wrote:

I detect a hint of Fibonacci ...

You shouldn't Fib like that, MathIsFun...

That 12 really through me off Ganesh, but I think I finally got it:

1, 4, 1, 5

I'll leave it to others to find the next 4 numbers, it really is a great puzzle sequence.

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

Well, now that I've seen Ricky's numbers, the next 4 are presumably 1, 6, 1, 7.

But I don't see how the 12 fits in.

Why did the vector cross the road?

It wanted to be normal.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,005

Well done, Ricky! And mathsyperson too!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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

mathyperson, think circle, as in never ending.

That will only make sense if you understand the reason to the sequence.

"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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,005

Good clue, Ricky!

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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