MATLAB: ibone sputed ordng te the toiiotg En = Fn-1 + Fn-2 with Fo F1 1. a. Comp

Question

MATLAB:

ibone sputed ordng te the toiiotg En = Fn-1 + Fn-2 with Fo F1 1. a. Compute the first 10 Fibonacci numbers b. For the first 50 Fibonacci numbers, compute the ratio FR Fn-1 sqrt (5))/2. What do your results show? In the following exercises use the dot operator where appropriate: 9. Given the array A = [2 7 9 7 ; 3 1 5 6 ; 8 1 2 5], provide the command that will a. assign the even-numbered columns of A to an array called B b. assign the odd-numbered rows to an array called C c. convert A into a 4-by-3 array (using reshape) d. compute the reciprcal of each element of A e. compute the square-root of each element of A

Explanation / Answer

5) Code :

function f = fibonacci(n)
if (n==1)
f= 1;
elseif (n==2)
f = 1;
else
f = fibonacci(n-1) + fibonacci(n-2);
end
end

Save the above code as fibonacci.m

and then run the following code :

5) (a)

for i=1:10
fibonacci(i)
end

OUTPUT

ans =

1

ans =

1

ans =

2

ans =

3

ans =

5

ans =

8

ans =

13

ans =

21

ans =

34

ans =

55

5) (b)

Run this code :

for i=2:50
ratio=fibonacci(i)/fibonacci(i-1)
end

OUTPUT :

ratio =

1

ratio =

2

ratio =

1.5000

ratio =

1.6667

ratio =

1.6000

ratio =

1.6250

ratio =

1.6154

ratio =

1.6190

ratio =

1.6176

ratio =

1.6182

ratio =

1.6180

ratio =

1.6181

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

ratio =

1.6180

And,

(1+sqrt(5))/2

ans =

1.6180

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