Question
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
-1,0,1,0,1,2,3,6,11,20,37
Answers
MathMate
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)
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)
Anonymous
Thanks so much
Anonymous
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?
Anonymous
Are the three numbers 63. 89. 115???????
MathMate
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 = ?
...
2+3+6=11, ...
So the next number is:
11+20+37 = 68
20+37+68 = ?
...