Question

What is the matlab code for the following: With x_1 = 23, x_2 = 66, and x_n = 3x_(n−1) + 5x_(n−2) mod(100), n ≥ 3 we will call the sequence un = x_n/100, n ≥ 1, the text’s random number sequence. Find its first 14 values.

Answer 1

function u = modulus (x1,x2)
x = zeros(1,14);
x(1) = x1 ;
x(2) = x2 ;
for i = 3 : 14
    x (i) = mod ((3 * x(i-1) + 5*x(i-2)) , 100) ;
end

for i = 1 : 14
    u(i) = x(i)/100;
end

// this function takes x1 and x2 as input

modulus(23,66)

ans =

Columns 1 through 13

    0.2300    0.6600    0.1300    0.6900    0.7200    0.6100    0.4300    0.3400    0.1700    0.2100    0.4800    0.4900    0.8700

Column 14

    0.0600

Please rate