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how to make a Series?

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sama
sama on 10 Apr 2015
Commented: sama on 14 Apr 2015
Hello, I am trying to create a series like this:
X(n)=-(sqrt(n)-Sqrt(n-1))x(1)-(sqrt(n-1)-sqrt(n-2))x(2)-(sqrt(n-2)-sqrt(n-3))x(3)+......+1/(1+exp(-an))
So, if n=1:
x(1)=1/(1+exp(-a))
if n=2:
x(2)=-(sqrt(2)-1)x(1)+1/(1+exp(-2a))
and so on. I have never worked with series at MATLAB. I can find any way to create the series, however, i am wondering if there are some specific rule.
Thanks a lot.

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Accepted Answer

Roger Stafford
Roger Stafford on 10 Apr 2015
x = zeros(N,1);
for n = 1:N
x(n) = sum(-(sqrt(n:-1:2)-sqrt(n-1:-1:1)).*x(1:n-1))+1/(+exp(-a*n));
end

  2 Comments

Roger Stafford
Roger Stafford on 10 Apr 2015
It would save excessive square roots to write
x = zeros(N,1);
s = sqrt(1:N);
for n = 1:N
x(n) = sum((s(n-1:-1:1)-s(n:-1:2)).*x(1:n-1))+1/(+exp(-a*n));
end
sama
sama on 14 Apr 2015
Thanks a lot.

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