MATLAB: Generating Fibonacci Sequence Using While Loop

fibonacciloopMATLABsequencewhile

Hello all,

I am trying to generate the first Fibonacci Sequence Term greater than 1000 using a while loop. I am using the following code:

fibf(1) = 1;
fibf(2) = 1;
n=3:50;
while fibf(n) < 1000
  fibf(n) = fibf(n-1)+fibf(n-2);
end

I am getting the error, 'Index exceeds matrix dimensions'. Any help is appreciated

Best Answer

fibf(1) = 1;
fibf(2) = 1;
n=3 
while fibf(n-1) < 1000
  fibf(n) = fibf(n-1)+fibf(n-2);
  n=n+1;
end

Related Solutions

MATLAB: Calculating values from a sequence with a for loop

With Loop:

num = 100000;
n = 1:100000;
A = zeros(100000,1);
for nLoop = 1:num
    A(nLoop,1) = (2.2.*n(nLoop)-1).^2;
end
disp('The first 10 values of this sequence is: ')
fprintf('%d\n', A(1:10))
%or
disp(A(1:10))  % to disp values

Without Loop:

num = 100000;
n = 1:100000;
A=((2.2.*n-1).^2).';
disp('The first 10 values of this sequence is: ')
fprintf('%d\n', A(1:10))
disp(A(1:10))  % to disp values

MATLAB: Fibonacci sequence for loop

Your while loop does not exit when you probably think it should...

Actually you will get the correct answer for m=3, 5, 8, 13, etc., as then the final loop iteration will generate exactly that value. But what happens when m is not one of the numbers in the fibonacci sequence? Then your loop will calculate one more iteration and return a vector one element longer than you want.

One simple solution is to use <= and remove the last vector element:

m = 10;
V = [1,1];
while V(end)<=m; % less-than or equal
    V(end+1) = sum(V(end-1:end));
end
V = V(1:end-1) % you need this!

Best Answer

Related Solutions

MATLAB: Calculating values from a sequence with a for loop

MATLAB: Fibonacci sequence for loop

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