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the sequence begins 1,1,1...

2006-09-13 03:06:34 · 10 answers · asked by Anonymous in Education & Reference Homework Help

10 answers

"The tribonacci numbers are like the Fibonacci numbers, but instead of starting with two predetermined terms, the sequence starts with three predetermined terms and each term afterwards is the sum of the preceding three terms."

0
0
1
1 = 0 + 0 + 1
2 = 0 + 1 + 1
4 = 1 + 1 + 1
etc.

2006-09-13 03:17:58 · answer #1 · answered by Tom D 4 · 0 0

Tribonacci numbers are like Fibonacci numbers, but instead of starting with two predetermined terms, the sequence starts with three predetermined terms and each term afterwards is the sum of the preceding three terms.
The tribonacci constant is the ratio toward which adjacent tribonacci numbers tend. It is a root of the polynomial x3 − x2 − x − 1, approximately 1.83929, and also satisfies the equation x + x−3 = 2

2006-09-13 03:14:41 · answer #2 · answered by Dominican Rubio 2 · 0 0

The tribonacci constant is the ratio toward which adjacent tribonacci numbers tend. It is a root of the polynomial x3 − x2 − x − 1, approximately 1.83929, and also satisfies the equation x + x−3 = 2.

2006-09-13 03:15:57 · answer #3 · answered by Lord Grover 2 · 0 0

They're basically a generalisatoin of the fibonacci sequence, they go like (if memory serves)

T1 = 1, T2 = 1, T3 = 2

Tn = Tn-1 + Tn-2 + Tn-3

So you get;

0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149

But to be honest, I learned this so long ago, and it didn't crop up once in a whole degree in mathematics, so i wouldn't worry too much about it if you're studying it now.

2006-09-13 03:11:48 · answer #4 · answered by sly` 3 · 0 0

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711,

0+1=1
1+1=2
1+2=3
2+3=5
3+5=8
5+8=13

In other words, after two starting values, each number is the sum of the two preceding numbers

2006-09-13 05:27:08 · answer #5 · answered by daisymay 5 · 0 0

i dont comprehend approximately that... yet i guess there is... I actual have heard of the fibonnaci... i dont comprehend if that series could be called the tribonacci with the aid of fact the fibonacci series replaced into named after a individual i think of... yet there is prolly a chain the place the sum of the previous 3 numbers can provide the subsequent one... wish this helps.

2016-11-07 05:54:50 · answer #6 · answered by sikorski 4 · 0 0

add the sum of the preceding numbers

1, 1, 2, 4, 8, 16...

2006-09-13 08:11:02 · answer #7 · answered by The Ultimate Answerer 3 · 0 0

I think you need to understand the fibonnaci sequence principles before this really makes sense.

Try here http://mathworld.wolfram.com/TribonacciNumber.html

2006-09-13 03:10:58 · answer #8 · answered by Nix 3 · 0 0

Do you mean fibonacci?

http://www.google.co.uk/search?hl=en&q=fibonacci+sequence&btnG=Google+Search&meta=

2006-09-13 03:14:52 · answer #9 · answered by sarah c 7 · 0 0

http://mathworld.wolfram.com/TribonacciNumber.html

2006-09-13 03:11:11 · answer #10 · answered by megnalon 4 · 0 0

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