Math Problem Statement
what is the fifth term 1,1,2,3,5
Solution
The sequence you provided is the Fibonacci sequence, where each term is the sum of the two preceding ones.
The sequence starts like this: 1, 1, 2, 3, 5, 8, 13, ...
To calculate the next terms:
- 1st term: 1
- 2nd term: 1
- 3rd term: 1 + 1 = 2
- 4th term: 1 + 2 = 3
- 5th term: 2 + 3 = 5
So, the fifth term is 5.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the 10th term of the Fibonacci sequence?
- Can you explain how the Fibonacci sequence relates to the golden ratio?
- What is the recursive formula for the Fibonacci sequence?
- How can the Fibonacci sequence be used in nature?
- How does the Fibonacci sequence apply to algorithmic complexity?
Tip: The Fibonacci sequence grows exponentially, but its growth rate approaches the golden ratio (approximately 1.618) as the sequence progresses.
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Math Problem Analysis
Mathematical Concepts
Sequences
Fibonacci Sequence
Formulas
F(n) = F(n-1) + F(n-2)
Theorems
Fibonacci Sequence Growth
Suitable Grade Level
Grades 5-7