Question

Calculate the following summation with user input n, and plot S versus k graph.

Can you please make matlab solve it?

Answer 1

% Matlab script to input n and calculate the value of summation and plot S vs k
% input of n
n = input('Enter the value for n : ');

S = zeros(1,n+1); % create a vector to hold n+1 values of S
S(1) = 1; % set the value of S when k = 0
% loop to calculate the value of S for k=1 to n
for k = 1:n
S(k+1) = S(k)+(1/(k.^2+1));
end
% print the result
fprintf('Value of S for n = %d is %.2f\n',n,S(n+1));
% plot S vs k
plot((0:n),S,'b-o');
xlabel('k');
ylabel('S');
title('Plot of S vs k');
%end of script

Output:

Enter the value for n25 Value of S for25 is 2.04 Figure1 File Edit View Insert ools Desktop Window Help Plot of S vs k 2.2 r 2 1.8 CD 1.6 1.4 1.2 1 C 0 10 15 20 25