Helped needed in Fibonacci Sequence code

I already made a code that finds the nth term of a Fibonacci sequence (Fn) using a recursive function but I need help updating this code to also output how many times the recursive sequence ran.

As of right now, the code I have to find the nth term is: (where n=2 and n=1 are the base conditions that tells the recursive function to stop)

function[F_n] = Fibonacci(n)
    if n == 2
        F_n = 1; 
    elseif n == 1
        F_n = 0;
    else
        F_n = Fibonacci(n-1) + Fibonacci(n-2);
    end
end

Answer 1

[Darshan Sen]

Hello Cici. We can solve this by introducing another variable count into the function as shown below.

function[F_n, count] = Fibonacci(n, count)

    count = 1;
    
    if n == 2
        F_n = 1; 
    elseif n == 1
        F_n = 0;
    else
        [F_n_1, count_1] = Fibonacci(n-1);
        [F_n_2, count_2] = Fibonacci(n-2);
        F_n = F_n_1 + F_n_2;
        count = count + count_1 + count_2;
    end
end

Now your function returns both the Fibonacci number as well as the number of times the function was called.

You may capture only the count in variable ans using this code snippet for the desired value of n.

[~, ans] = Fibonacci(n);

Hope this helps. :)

[Cici]

It worked! Thank you so much!

Answer 2

[Joe]

Here’s a simple MATLAB code to generate the Fibonacci sequence:

function fibSequence = fibonacci(n)

% Initialize the first two Fibonacci numbers

fibSequence = zeros(1, n); % Preallocate for speed

fibSequence(1) = 0;

if n > 1

fibSequence(2) = 1;

end

% Generate the Fibonacci sequence

for i = 3:n

fibSequence(i) = fibSequence(i-1) + fibSequence(i-2);

end

end

You can call this function with the desired number of terms, for example:

result = fibonacci(10);

disp(result);

If you need further assistance with MATLAB coding, consider reaching out to Matlab Assignment Experts. They provide expert help, guaranteeing perfect grades with a 100% refund policy if you're not satisfied.

For quick support, contact them via WhatsApp at [phone]. You can also email them at [e-mail].