How can we use the concept:
Fibonacci sequence rule:
is the term number "n."
is the previous term (n-1).
is the term before that (n-2)
Example: Using your knowledge of the Fibonacci Sequence, what is the ninth term of the sequence?
=34+21
= 55
Sample Math Problems
1. If the Fibonacci sequence is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, what statement describes the rule to the pattern to find the next number?
- Multiply the two previous terms
- Add 1 to the previous term
- Multiply the previous terms times 2
- Add the previous two terms
2. Complete the Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13, __, __, __
Solution:
First, students must identify the pattern:
0+1= 1
1+1=2
1+2=3
2+3=5
3+5=8
5+8=13
So to find the missing numbers, you have to add the two preceding numbers together:
8+13= 21
13+21=34
21+34=55
3. What is the missing number in this sequence? ...3, 5, 8, 13, __, 34
Solution:
Students should use the given numbers to apply the rule:
3+5=8
5+8=13
8+13=21
Students can use the last number (34) to double check their answer: 13+21=34 is correct, so the missing number is 21.
4. Using your knowledge of the Fibonacci Sequence, what is the ninth term of the sequence?
