Consider the sequence (y_n)_n greaterthanorequalto 1 defining the Fibonacci numb
ID: 3027552 • Letter: C
Question
Consider the sequence (y_n)_n greaterthanorequalto 1 defining the Fibonacci numbers. Set y_1 = 1 and y_2 = 1 and the relation y_n+1 = y_n + y_n - 1 for n greaterthanorequalto 2. Compute the first 50 Fibonacci numbers 2/1 up to 2/50 and store the 50 numbers in a column vector y (of dimension 50 times 1). Save the column vector y in A13.dat Extract the values from y_10 until y_25 and store the numbers in a column vector. Save this column vector in A14.dat Extract the terms in the sequence with an even index: y_2, y_4, ... Store these numbers in a column vector (where the first row stores y_2, the second row y_4, and so on). Save that vector in A15.datExplanation / Answer
function y = fibonacci(50)
% FIBONACCI Fibonacci sequence
% y = FIBONACCI(n) generates the first n Fibonacci numbers
y = zeros(50,1);
y(1) = 1;
y(2) = 1;
for k = 3:50
y(k) =y(k-1) + y(k-2);
end
fileID1 = fopen('A13.dat','w');
fileID2 = fopen('A14.dat','w');
fileID3 = fopen('A15.dat','w');