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Numerical Methods Problem Solution

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Can i please get help with this question? I am new to MATLAB and do not know how to go about solving this in MATLAB, maybe i would be able to solve subsequest problems when i see the steps to this question. Thanks.
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Accepted Answer

Dyuman Joshi
Dyuman Joshi on 15 May 2021
Edited: Dyuman Joshi on 15 May 2021
In MATLAB, indexing start with 1 and not 0 (as it does in some programming languages).
%defining the initial values
t0 = 1/sqrt(3);
t = (sqrt(t0^2+1)-1)/t0;
pi_approx = (sqrt(t^2+1)-1)/t;
for i=1:24
t(i+1) = (sqrt(t(i)^2+1)-1)/t(i);
pi_approx(i+1) = 6*2^i*t(i+1);
end
%converting to table
y=array2table([t;pi_approx]', 'VariableNames',{'t','pi_approx'});
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