Here are the numbers;
1, 2, 3, 5, 8, 13, 21
Here’s a simple example of the Fibonacci sequence in action:
The Rabbit Population Problem (the classic example)
Starting with one pair of rabbits:
- Month 1: 1 pair (too young to reproduce)
- Month 2: 1 pair (now mature, but no babies yet)
- Month 3: 2 pairs (original pair + 1 new pair of babies)
- Month 4: 3 pairs (2 from last month + 1 new pair from the original couple)
- Month 5: 5 pairs (3 from last month + 2 new pairs)
- Month 6: 8 pairs (5 from last month + 3 new pairs)
The sequence: 1, 1, 2, 3, 5, 8, 13, 21…
Each number is the sum of the two previous numbers: 1+1=2, 1+2=3, 2+3=5, 3+5=8, and so on.
Real-world example you can observe: Look at a sunflower head. Count the spiral arms going clockwise, then counterclockwise. You’ll typically find Fibonacci numbers like 21 and 34, or 34 and 55. The seeds naturally arrange themselves in this pattern because it’s the most efficient way to pack them into the circular space.
Simple coding example (python):
def fibonacci(n):
if n <= 1:
return n
return fibonacci(n-1) + fibonacci(n-2)
# First 10 Fibonacci numbers
for i in range(10):
print(fibonacci(i))
Add to favorites