%% Exercise 2 from Programming Tutorial I:
% By: Grady Wright
%
% Date: January 26, 2012

%% Exercise 2
% We need to compute the following sum for different values of $N$
%
% $$ \pi = 4\sum_{k=0}^N \frac{(-1)^k}{2k+1} $$.
%
% Here is the program:
N = 10;
mysum = 0;
for k=0:N
   mysum = mysum + (-1)^k/(2*k+1);
end
mysum = 4*mysum;
disp(['With N=' num2str(N) ' pi is approximately ' num2str(mysum)]);