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Ploting a series and finding lim to infinity

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Destro Katramis
Destro Katramis on 30 May 2020
Edited: madhan ravi on 30 May 2020
Hello everyone, having compute the following series:
n=1:100;
a(1)=1/3;
a(2)=2/7;
a(n+2)=a(n+1)/(n+1)*a(n);
I want to plot the following ratio: a(n+1) / a(n) with the highest possible n and its limit towards infinity.
Thank you in advance!

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Destro Katramis
Destro Katramis on 30 May 2020
Well something embarassing like this:
seq=zeros(1,100);
for n=1:100
seq(n)=a(n+1)/a(n);
end
plot(seq)

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Answers (1)

madhan ravi
madhan ravi on 30 May 2020
Edited: madhan ravi on 30 May 2020
N = 1e2; % an inf number
a = zeros(1,N);
a(1) = 1/3;
a(2) = 2/7;
for n = 1:N-2
a(n+2) = a(n+1) / (n+1) * a(n); % not sure whether if it should be ((n+1) * a(n))
end
seq = a(2:end) ./ a(1:end-1);
plot(seq)

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