Math Problem Statement
What is the 60th number of Fibonacci sequence?
Solution
To find the 60th number of the Fibonacci sequence, we use the recurrence relation:
with initial conditions:
The Fibonacci sequence starts as follows:
You can compute the 60th Fibonacci number either by writing out all terms or using an efficient algorithm. By calculating or using a precomputed list of Fibonacci numbers, we find:
So, the 60th Fibonacci number is 1,548,008,755,920.
Let me know if you would like more details on the calculation or further questions!
Related questions:
- How do you derive the Fibonacci sequence using a recursive algorithm?
- What is the relationship between Fibonacci numbers and the golden ratio?
- How can Fibonacci numbers be used in real-world applications?
- What is the time complexity of calculating Fibonacci numbers using recursion versus iteration?
- How can Fibonacci numbers be computed efficiently using matrix exponentiation?
Tip: The Fibonacci sequence grows exponentially, so even the 60th term is a large number, highlighting the rapid growth of the series!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Recurrence Relations
Fibonacci Sequence
Exponential Growth
Formulas
F(n) = F(n-1) + F(n-2)
Initial conditions: F(0) = 0, F(1) = 1
Theorems
Recurrence Relation Principle
Suitable Grade Level
Grades 9-12
Related Recommendation
Find the 55th Fibonacci Number: Calculation and Explanation
40th, 69th, and 100th Terms in the Fibonacci Sequence: Detailed Solution
How to Calculate the 19th Fibonacci Number
Calculate Fibonacci Sequence Values for F30, F37, and F56
Find the 12th Term of the Fibonacci Sequence with Step-by-Step Solutions