Answer :
Here's an example MATLAB program that calculates the number of terms required for the sum of a series to exceed 20000 and calculates the sum of that number of terms
How to explain the program
% Initialize variables
n = 1; % Number of terms
sumValue = 0; % Sum of the terms
% Calculate the sum of the series until it exceeds 20000
while sumValue <= 20000
% Calculate the nth term of the series
term = 1/n^2;
% Add the nth term to the sum
sumValue = sumValue + term;
% Increment the number of terms
n = n + 1;
end
% Subtract 1 from n because the loop increments n once more after the sum exceeds 20000
n = n - 1;
% Display the number of terms and the sum of that number of terms
disp(['Number of terms required: ', num2str(n)]);
disp(['Sum of ', num2str(n), ' terms: ', num2str(sumValue)]);
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