Imagine you have a special kind of growing staircase, that’s how Fibonacci numbers work!
Arthur Benjamin shows us how these numbers behave in surprising and fun ways, like a game with stairs, or a pattern in nature. Let's break it down.
A Staircase That Grows
Start with one step. Then add another step next to it. Now you have two steps total. Add one more step, now there are three steps. Keep going: 1, 2, 3, 5, 8... each time adding the last two numbers together. This is how Fibonacci numbers grow, like a staircase that gets bigger and bigger.
Patterns in Nature
A Quick Trick
Imagine you have 10 steps. If you know how Fibonacci numbers grow, you can guess the total number of steps in your head faster than someone can count them out loud! It’s like having a superpower with numbers, no real magic, just fun math. Imagine you have a special kind of growing staircase, that’s how Fibonacci numbers work!
Arthur Benjamin shows us how these numbers behave in surprising and fun ways, like a game with stairs, or a pattern in nature. Let's break it down.
A Staircase That Grows
Start with one step. Then add another step next to it. Now you have two steps total. Add one more step, now there are three steps. Keep going: 1, 2, 3, 5, 8... each time adding the last two numbers together. This is how Fibonacci numbers grow, like a staircase that gets bigger and bigger.
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