MATLAb only in cs =The Fibonacci sequence is defined by the recurrence relation: Fn = Fn-1 + Fn-2, where F₁0 and F2= 1. Write a program ex3_q3.m which determines the first 100 Fibonacci numbers byiteration. 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 fprintffunction to answer the following questions (you can print to the "standard output"):

The complete code in MATLAB is below:

= 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 ŉ → ∞. Plot the ratio Fn+1/Fn vs. N for ne {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"):

= 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 ŉ → ∞. Plot the ratio Fn+1/Fn vs. N for ne {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"):

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 6PE

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CodeW For fun X C Solved https://codeworkou... 臺亂 CodeWorkout X272: Recursion Programming Exercise: Is Reverse For function isReverse, write the two missing base case conditions. Given two strings, this function returns true if the two strings are identical, but are in reverse order. Otherwise it returns false. For example, if the inputs are "tac" and "cat", then the function should return true. Examples: isReverse("tac", "cat") -> true Your Answer: 1 public boolean isReverse(String s1, String s2) { 2. if > 3. 4. else if > return true; return false; 5. 6. else { String s1first = String s2last return s1first.equals (s2last) && 51. substring(0, 1); s2, substring(s2.length() 1); 7. 8. 6. isReverse(s1.substring(1), s2.substring(0, s2.length() 1)); { 12} 1:11AM 50°F Clear 12/4/2021
Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A
The following function f uses recursion:def f(n):if n <= 1return nelse return f(n-1) + f(n-2)Let n be a valid input, i.e., a natural number. Which of the following functions returns the same result but without recursion?a) def f(n):a <- 0b <- 1 if n = 0return aelsif n = 1 return belsefor i in 1..nc <- a + b a <- b b <- c return bb) def f(n):a <- 0i <- n while i > 0 a <- a + i + (i-1) return ac) def f(n): arr[0] <- 0 arr[1] <- 1 if n <= 1return arr[n]elsefor i in 2..n arr[i] <- arr[i-1] + arr[i-2]return arr[n]d) def f(n): arr[0..n] <- [0, ..., n] if n <= 1return arr[n]elsea <- 0 for i in 0..n a <- a + arr[i]return a
The following function f uses recursion: def f(n): if n <= 1 return n else return f(n-1) + f(n-2) 5 Let n be a valid input, i.e., a natural number. Which of the following functions returns the same result but without recursion? a) def f(n): a <- 0 b <- 1 if n = 0 return a elsif n = 1 return b else for i in 1..n c <- a + b a <- b b <- c return b f(n): a <- 0 i <- n while i > 0 a <- a + i + (i-1) return a f(n): arr[0] <- 0 arr[1] <- 1 if n <= 1 return arr[n] else for i in 2..n arr[i] <- arr[i-1] + arr[i-2] return arr[n] f(n): arr[0..n] <- [0, ..., n] if n <= 1 return arr[n] else a <- 0 for i in 0..n a <- a + arr[i] return a
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In this problem, you will write different programs to x^N, where x ∈ R, n ∈ N. b) Devise a recursive algorithm to compute x^n , using the fact that x^n= x ⋅ x^n−1 .
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