$(15$p$)$ Write a Matlab$/$Octave script that computes the sum of following series:

$1-\frac{1}{2}+2-\frac{1}{4}+3-\frac{1}{8}+4-\frac{1}{16}+5-\frac{1}{32}+$dots$+9-\frac{1}{512}+10-\frac{1}{1024}$