Posted by **samantha** on Thursday, April 12, 2012 at 3:51pm.

Look over the following sequence of numbers. What are the next 3 numbers in the pattern?what is the pattern rule?

-1,0,1,0,1,2,3,6,11,20,37

- math patterning -
**MathMate**, Thursday, April 12, 2012 at 4:59pm
This is (probably) a series with a recurrence relation:

a(n)=a(n-3)+a(n-2)+a(n-1)

Try

0=-1+0+1

1=0+1+0

2=1+0+1

...

37=6+11+20

Some call this tribonacci numbers, from

Fibonacci numbers where

a(n)=a(n-2)+a(n-1)

- math patterning -
**Anonymous**, Thursday, April 12, 2012 at 5:20pm
Thanks so much

- math patterning -
**Anonymous**, Thursday, April 12, 2012 at 5:30pm
How do get the three numbers relative I understand that the number u get is the first to add for the next in the pattern?

- math patterning -
**Anonymous**, Thursday, April 12, 2012 at 6:32pm
Are the three numbers 63. 89. 115???????

- math patterning -
**MathMate**, Friday, April 13, 2012 at 7:02am
Basically, you add the three last numbers to get the next, for example,

2+3+6=11, ...

So the next number is:

11+20+37 = 68

20+37+68 = ?

...

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