# Math Help - Patterns and relationships

1. ## Patterns and relationships

The following sequences have the same rule but different starting values:
0, 1, 2, 2, 3, 5, 7, 10, 15, 22, 32,…
1, 1, 2, 3, 4, 6, 9, 13, 19, 28, 41,…
a) What are the next three terms in each sequence?
b) Explain the rule.
c) What is the relationship between corresponding terms of the two sequences?

I don't know what to do

2. ## Re: Patterns and relationships

Take 0,1,2:
0+2=2

so you have 0,1,2,2:
1+2=3

0,1,2,2,3
2+3=5

0,1,2,2,3,5 and so on.... Try to explain this..

You should get:

$x_n=x_{n-1}+x_{n-3}$