Without adding, find the sum of the first 15 terms of the Fibonacci sequence. Explain and show your solution.Give atleast brief explanation each step.
Without adding, find the sum of the first 15 terms of the Fibonacci sequence. Explain and show your solution.Give atleast brief explanation each step.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer all the following questions.
1.) Without adding, find the sum of the first 15 terms of the Fibonacci sequence. Explain and show your solution.Give atleast brief explanation each step.
2.)Without looking at the sequence, what is F15 if F14 is 377? Explain and show your solution. Give atleast brief explanation each step.
3.)The ratio Fib(n+1)/ Fib n, as n gets larger is said to approach the Golden Ratio, which is approximately equal to 1.618. What happens to the inverse of this ratio, Fib n/Fib(n+1)? What does this quantity approach? How does this compare to the original ratio?Give atleast brief explanation each step.
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