Fibonacci Numbers - Math
ADVERTISEMENT
1
2
3
4Fibonacci Numbers
1. Write down the first part of the sequence,
shown below, and then fill in the blanks for the
Lesson 1 of 4
next 6 Fibonacci numbers.
1, 1, 2, 3, 5, 8,
_13, _21, _34, _55, _89, 144_
In 1202, the mathematician Leonardo Pisano
2. In the first few terms (numbers) of the
Fibonacci (pronounced fi-buh-NAH-chee)
sequence, you can see a pattern of whether the
published a book with the famous Fibonacci
numbers are even or odd. Fill in the table below
sequence in it. (A sequence is a list of numbers.)
to see the pattern.
Even or
Number
This sequence starts with the numbers 1 and 1.
odd
1
odd
To get the next number, you add the first two:
1
odd
1 + 1 = 2.
2
even
Now the sequence looks like 1, 1, 2.
3
odd
5
odd
8
even
To get the next number, you add the previous
13
odd
two numbers: 1 + 2 = 3.
21
odd
Now the sequence looks like 1, 1, 2, 3.
34
even
55
odd
Keep doing this to build the sequence. The next
89
odd
two numbers in the sequence are 5 (from
144
even
2 + 3 = 5) and 8 (from 3 + 5 = 8).
3. Write 1-2 sentences to describe the pattern and
Now the sequence looks like 1, 1, 2, 3, 5, 8.
explain why it happens. (Hint: What is an odd
number plus an odd number?)
The pattern is odd, odd, even, odd, odd, even. This happens
because if you add two odds, you’ll get an even number.
For the next two steps, if you add an odd and an even you
get an odd number.
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education