The Fibonacci sequence is defined by the recurrence relation: Fn = Fn−1 + Fn-2, where F₁ = 0 and F₂ = 1. Write a program ex3_q3.m which determines the first 100 Fibonacci numbers by iteration. Fn+1/Fn converges to an interesting value as ʼnn → ∞o. Plot the ratio Fn+1/Fn vs. n for n E {2:99} (use the semilogx command to make the horizontal axis logarithmic). Use the fprintf function to answer the following questions (you can print to the "standard output"):

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The Fibonacci sequence is defined by the recurrence relation: Fn = Fn−1 + Fn-2, where F₁ =
0 and F₂ = 1. Write a program ex3_q3.m which determines the first 100 Fibonacci numbers by
iteration. Fn+1/Fn converges to an interesting value as n → ∞o. Plot the ratio Fn+1/Fn vs. n for n E
{2: 99} (use the semilogx command to make the horizontal axis logarithmic). Use the fprintf
function to answer the following questions (you can print to the "standard output"):
Transcribed Image Text:The Fibonacci sequence is defined by the recurrence relation: Fn = Fn−1 + Fn-2, where F₁ = 0 and F₂ = 1. Write a program ex3_q3.m which determines the first 100 Fibonacci numbers by iteration. Fn+1/Fn converges to an interesting value as n → ∞o. Plot the ratio Fn+1/Fn vs. n for n E {2: 99} (use the semilogx command to make the horizontal axis logarithmic). Use the fprintf function to answer the following questions (you can print to the "standard output"):
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