How do I plot a graph from a code that is is using a function and looping feature

I need to plot the below equation with "S" as a function of n. The code I wrote (below) isnt working so I assume that i have some sort of syntax issue ?

NN = [0:1:10];
for i = 1:length(NN)
            
   S(i) = S(i) + (1/(2^NN(i)));
    NN(i) = NN(i) +1;
  
end
plot(NN,S,'k-')

Answer 1

[Mark Sherstan]

You are redeffining NN unessecarily and the first instance of S(i) is not defined. Consider preallocationg and changing your code to the folowing.

NN = [0:1:10];
S = zeros(length(NN),1);

for i = 1:length(NN)
            
   S(i) = S(i) + (1/(2^NN(i)));
  
end

plot(NN,S,'k-')

Note: Your equation doesent make sense as S(i) is a function of itself at each step, S(i) = S(i).