The Fibonacci sequence is a special list of numbers. Each number in this list is made by adding the two numbers before it. It usually starts with the numbers 0 and 1.

Why It Matters in Math:

• The Fibonacci sequence shows up in many math problems, especially those that involve repeating steps, called recursive algorithms.
• You can find any number in the sequence using this simple formula:
  $F(n) = F(n-1) + F(n-2)$
  This just means that to get a new number, you add the two numbers that came before it.

Why It Matters in Nature:

• You can see the Fibonacci sequence in nature, such as:
  • Phyllotaxis: This is how leaves are arranged on plants. About 3 out of 4 plants show this pattern.
  • Flower petals: Many flowers have a number of petals that matches a Fibonacci number.

Overall, the Fibonacci sequence links math with nature. It shows how things grow in a balanced and beautiful way.