Fibonacci number
Each term in the Fibonacci sequence is called a Fibonacci number. From
the Fibonacci sequence, each Fibonacci number is getting by adding the two
previous Fibonacci numbers together. Some of the Fibonacci numbers are 1,1,
2, 3, 5, 8, 13, 21, 34, 55, 89,144 ect. Each number in this sequence is the sum
of the previous. For example…
1+1=2
1+2=3
2+3=5
8+13=21
13+21=34
3+5=8 5+8=13
21+34=55
0,1—the series starts like this.
0+1=1 so the series is now 0,1,1
1+1=2 so the series continues…
0,1,1,2 and the next term is 1+2=3
So we now have 0,1,1,2,3 and it continue
As followed…
Fibonacci number could also be explained as if you start with a pair of
rabbits, one male and one female that were born on January first. You assume
that all months are of all equal length. The rabbits begin to produce young two
months after their own birth. Then after reaching the age of two months, each
pair produces a mixed pair, one male and one female. Then another rabbit
mixed pair each month thereafter. Assuming no rabbits die. So at the end of
the year there will be 144 pairs f rabbits, all resulting form that one original
pair born on January 1st of that year.
HOW ARE FIBONACCI NUMBERS RELATED TO
PASCAL’S TRIANGLE?
We can also relate Fibonacci numbers to Pascal’s triangles. It’s obvious
that the Fibonacci Numbers have a special link with Pascal’s Triangle. Each
entry in the triangle on the left is the sum of the two numbers either side of it
but in the row above. Each end and beginning starts with and ends with “1”. If
you take the numbers diagonal form each other and add them up you’ll get the
Fibonacci sequence. For example if you take the dark blue diagonal like and
add 1+6+10+4 which equals 21; and 21 is a Fibonacci number. Therefore
Fibonacci numbers and Pascal’s triangles are similar.