Math Problem Statement
what sequence is this 1,1,2,3,5,8?
Solution
The sequence you provided: 1, 1, 2, 3, 5, 8 is known as the Fibonacci sequence.
In the Fibonacci sequence, each number (after the first two) is the sum of the two preceding ones:
- Start: 1, 1
- Next: 1 + 1 = 2
- Then: 1 + 2 = 3
- Then: 2 + 3 = 5
- Then: 3 + 5 = 8
The pattern continues indefinitely following this rule.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the general formula to describe the Fibonacci sequence?
- How does the Fibonacci sequence relate to the golden ratio?
- What are some applications of the Fibonacci sequence in nature and art?
- Can you generate the next five numbers in the Fibonacci sequence?
- How does the Fibonacci sequence grow compared to an arithmetic sequence?
Tip: Fibonacci numbers appear in nature, like in the arrangement of leaves, fruit, and flowers!
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Math Problem Analysis
Mathematical Concepts
Sequences
Fibonacci Sequence
Recursion
Formulas
F(n) = F(n-1) + F(n-2) for n > 1, F(0) = 0, F(1) = 1
Theorems
Fibonacci Theorem
Suitable Grade Level
Grades 6-9
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