Easy ยท ages 10+ ยท lists ยท loops ยท patterns
Fibonacci numbers in Python.
Build the Fibonacci sequence, where each number is the sum of the two before it.
The program
Press Run to see what it prints. Change anything you like, then run it again.
fib = [1, 1]
while len(fib) < 15:
fib.append(fib[-1] + fib[-2])
print(fib)
ratios = [round(fib[i + 1] / fib[i], 4) for i in range(8, 13)]
print("Ratios:", ratios)[1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610] Ratios: [1.6176, 1.6182, 1.618, 1.6181, 1.618]
How it works
- A list holds many values in order.
fib[-1]is the last one andfib[-2]is the one before it. appendadds a value to the end. The loop runs until the list has 15 numbers.- The last two lines divide each number by the one before it. The answers get closer and closer to 1.618..., the golden ratio. A list comprehension builds a new list in one line.
Try this
- Make a list of 30 numbers.
- Print only the even Fibonacci numbers.
- Start with different numbers, such as [2, 1], and see what changes.
Stuck on an error? Read how to debug Python.
Similar ideas
More programs
FAQ
Fibonacci numbers: questions
What does the fibonacci numbers program do?
Build the Fibonacci sequence, where each number is the sum of the two before it. It prints: [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610] / Ratios: [1.6176, 1.6182, 1.618, 1.6181, 1.618]
Which Python ideas does it use?
lists, loops, patterns. Easy level, suitable from about age 10.
How do I run it?
Press Run on this page. To run it on your own computer, install Python 3 and save the code in a file ending in .py. It prints the same thing.
What should I try next?
Make a list of 30 numbers. Print only the even Fibonacci numbers. Start with different numbers, such as [2, 1], and see what changes.
Start a conversation
Want a teacher to guide the learning?
Tell us the learner's age and what they can already do, and we will suggest a starting point. A parent or guardian can make the enquiry.
- Tell us the learnerโs age or grade and goals
- Weโll suggest a suitable class or learning path
- Weโll confirm format, timing and fees with a parent or guardian
Play it, don't just read it
Write some code right now
Free games that need no sign-up. Pick one and play for five minutes.
Pick a game
- Code BuilderThe lines of a Python program are mixed up. Tap them into the rightโฆPlay
- Predict the OutputRead a short Python program and choose what it prints. Then watch it runโฆPlay
- Bug HunterA Python program prints the wrong answer. Find the one line with theโฆPlay
- Code JungleWrite real Python to guide Miko the monkey to every banana. 24 levels:โฆPlay