Calculate an expression in MAtlab

(Sorry i don't know a better title)

I have (n=0,1,2,3,....)

How can I calculate the below expression with matlab codes ?

Thank you

Answer 1

[Star Strider]

It depends on what ‘T’ and ‘c’ are.

If they are scalars, this would likely work:

T = rand;
c = rand;
x(1) = rand;
N = 10;
for k = 1:N
    x(k+1) = x(k)*T+c;
end

[John Amitage]

Is there any way I can type x(0) instead of x(1) ?

T = 1;
c = 2;
X(0)= 3;
N = 10;
for k = 1:N
    X(k) = X(k-1)*T+c;
end

If I correct the codes like this, an error appears :"Array indices must be positive integers or logical values."

[Star Strider]

‘Is there any way I can type x(0) instead of x(1) ?’

Not in MATLAB. In MATLAB, indices must be integers greater than 1.

However you can choose to display them the way you want:

for k = 1:numel(x)
    fprintf('x(%d) = %.4f\n', k-1, x(k))
end

producing:

x(0) = 0.6905
x(1) = 1.0766
x(2) = 1.2961
     ...