Answer:
10th term is 55
11th term is 89
Step-by-step explanation:
Given:
- 1,1,2,3,5,8,13,21,34,----,-----
We first need to iterate through and find the patterns in the series:
[tex]n_{x - 1} - n_x = d[/tex]
- 1 - 1 = 0
- 2 - 1 = 1
- 3 - 2 = 1
- 5 - 3 = 2
- 8 - 5 = 3
- 13 - 8 = 5
- 21 - 13 = 8
- 34 - 21 = 13
Aha! As we see the differences are the resulting repeating series
So the next two terms are as follows;
[tex]n_{10} = 34 + 21 = 55[/tex]
[tex]n_{11} = 55 + 34 = 89[/tex]
