MATLAB: Generated code that mulitples previous number

Question

Hello I want to compute a value assuming Xo = 1

using the formular X = e * (p) . ^ ( e – 1) * X

for first X = e * (p) . ^ ( e – 1) * Xo

Second X = e * (p) . ^ ( e – 1) * X1

Third X = e * (p).^(e – 1) * X2

fourth X = e * (p). ^ (e – 1) * X3

it can be simplified

X0 = 1

X1 = e * (p) . ^ ( e – 1) * Xo

X2 = e * (p) . ^ ( e – 1) * X1

X3 = e * (p) . ^ ( e – 1) * X2

X4 = e * (p) . ^ ( e – 1) * X3

Can anyone assist me in generating this code

Thanks in advance

Regards

Tino

Answer 1

I specified:

e = 1.2;
p = 2.3;

and then your code produces:

X0 =
     1
X1 =
       1.4175
X2 =
       2.0093
X3 =
       2.8483
X4 =
       4.0375

Simpler MATLAB code using power:

>> (e*p.^(e-1)).^(0:4)
ans =
            1       1.4175       2.0093       2.8483       4.0375

or cumprod (as Steven Lord suggested):

>> cumprod(e*p.^(e-1)*ones(1,4))
ans =
       1.4175       2.0093       2.8483       4.0375