I think
Newvalue=(1/t)*sqrt(Value);
should be outside the for loop :
vector=[1;2;3;4;5;6];
vectortwo=[1;3;4;5;6;8];
s=length(vector);
total=zeros(size(vector)); % change the name of the count
for t=1:s
Value=(vector.^t+vectortwo.^t).^3
total=total+Value;
end
NewValue = (1/s)*sqrt(total); % Output is 6x1 vector
Also, your mentioned series seems to be mathematically incorrect, since 't' can never be out of the "sigma". So, my understanding is it should be 's' instead of 't'
