Understanding Fibonacci Numbers (Sequence)
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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
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the next number in the Fibonacci sequence: $1, 1, 2, 3, 5, 8$?
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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 $F_{12}$?
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