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sequence convergence of sqrt(2)

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Connor Ryan
Connor Ryan on 12 Apr 2021 at 8:47
Answered: Alan Stevens on 12 Apr 2021 at 9:43
I am having some difficulties converging this sequence to sqrt(2).
the values are not computing properly and I am not sure why.
N=randi(100);
X1=1;
for k=[2:1:N]
Xk= 0.5.*(k-1)+(2/k-1);
end
terms=linspace(2,Xk,N)

Answers (1)

Alan Stevens
Alan Stevens on 12 Apr 2021 at 9:43
I think you probably want
X(k) = 0.5*X(k-1) + 1/(2*X(k-1));
with
X(1) = 1;

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