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(n3)+a(n2)+a(n1)
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(n2)+a(n1)

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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