Question

7. A Fibonacci sequence is composed of elements created by adding the two previous elements. The simplest Fibonacci sequence starts with 1, 1 and proceeds as follows: 1,1,2,3,5,8,13, So, if f(1)-1 and f(2) -1, then f(3)-2)+f(1) We can represent this pattern as f(x) - f(x-1)+f(x-2). A Fibonacci sequence can be created with any two numbers. Prompt the user to enter the first two numbers in a Fibonacci sequence and the total number of elements requested in the sequence. Find the sequence and store it in a for loop. Now plot your resulits on a polar graph. Use the element for the angle and the value of the element in e sequence for the radius. Fibonacci sequences appear regularly in nature. For example, the shell of a chambered nautilus grows in accordance with a Fibonacci sequence.

USING MATLAB

Answer 1

% get user input

n = input('Enter no of terms in the series : ');

% get user input

a = input('Enter first number : ');

b = input('Enter second number : ');

% store the angle

theta = [ 1 : n ];

% create a vector to store the fibonacci series

rho = zeros( 1 , n );

% set the first 2 terms in the series

rho(1) = a;

rho(2) = b;

for i = 3 : n

   

    % F(n) = F(n - 1) + F(n - 2)

    rho(i) = rho(i - 1) + rho(i - 2);

   

end

% create a polar plot

polarplot(theta,rho);