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Fibonacci Numbers (Sequence)

Master fibonacci numbers (sequence) with interactive lessons and practice problems! Designed for students like you!

Understanding Fibonacci Numbers (Sequence)

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Video explanation of this concept

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Beginner

Start here! Easy to understand

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Beginner Explanation

The Fibonacci sequence starts with $0, 1$, and each subsequent number is the sum of the two before it: $0 + 1 = 1$, $1 + 1 = 2$, etc.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

What is the next number in the Fibonacci sequence: $1, 1, 2, 3, 5, 8$?

Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2

Real-World Problem

Question Exercise
Intermediate

Teenager Scenario

Imagine you are arranging flowers in a spiral pattern. The number of petals follows the Fibonacci sequence. If you start with $3$ petals in one layer followed by $5$ petals in the next, how many petals will be in the two subsequent layers?
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

Consider a staircase with $10$ steps. Each step can be taken as a single step or as a pair (1 step or 2 steps at a time). How many distinct ways can you climb to the top?

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4

Challenge Quiz

Single Choice Quiz
Advanced

If $F_{10} = 55$, what is $F_{12}$?

Please select an answer for all 1 questions before checking your answers. 1 question remaining.

Recap

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Review key concepts and takeaways