23. Binet's Formula The following formula is known as Binet's formula for the nth Fibonacci number. 1 + V5 - F, 2 The advantage of this formula over the recursive formula F, = F,-1 + F-2 is that you can determine the nth Fibonacci number without finding the two pre- ceding Fibonacci numbers. Use Binet's formula and a calculator to find the 20th, 30th, and 40th Fibonacci numbers.
23. Binet's Formula The following formula is known as Binet's formula for the nth Fibonacci number. 1 + V5 - F, 2 The advantage of this formula over the recursive formula F, = F,-1 + F-2 is that you can determine the nth Fibonacci number without finding the two pre- ceding Fibonacci numbers. Use Binet's formula and a calculator to find the 20th, 30th, and 40th Fibonacci numbers.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:23. Binet's Formula The following formula is known
as Binet's formula for the nth Fibonacci number.
1 + V5
-
F,
2
The advantage of this formula over the recursive
formula F, = F,-1 + F-2 is that you can determine
the nth Fibonacci number without finding the two pre-
ceding Fibonacci numbers.
Use Binet's formula and a calculator to find the
20th, 30th, and 40th Fibonacci numbers.
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