How could I sums up 1/n for n=1 to 10000?

I have a code like this, but I can't run it.

n = 10000; % whatever you want
sum_harm = 0;
for i = 1:n
    sum_harm = sum_harm + 1/i;
end
sum_harm

sum_harm = 9.7876

Answer 1

[Chunru]

It can be run as shown below. What problem have you encountered?

n = 10000; % whatever you want
sum_harm = 0;
for i = 1:n
   sum_harm = sum_harm + 1/i;
end
sum_harm

sum_harm = 9.7876

[Wenchen Liu]

There is no results show up when I try to tun the result. And actully I want to know how the sum adds up for n = 1, ..., 10000.

[Chunru]

There is no variables called "result". You should check "sum_harm" after running your code.

To see the intermediate partial sum, simply remove semicolon at the end of sum statement as shown below:

n = 10; % whatever you want
sum_harm = 0;
for i = 1:n
   sum_harm = sum_harm + 1/i    % ; suppress display;  remove it for display
end

sum_harm = 1

sum_harm = 1.5000

sum_harm = 1.8333

sum_harm = 2.0833

sum_harm = 2.2833

sum_harm = 2.4500

sum_harm = 2.5929

sum_harm = 2.7179

sum_harm = 2.8290

sum_harm = 2.9290

sum_harm

sum_harm = 2.9290

[Walter Roberson]

n = 1:10000;
result = cumsum(1./n);
result(end)

ans = 9.7876

plot(n, result)

Answer 2

[Image Analyst]

Why not try it vectorized:

n = 1 : 10000; % whatever you want
sum_harm = sum(1 ./ n)

sum_harm = 9.7876

What problem did you have in running your code? It ran in MATLAB online. Did you type the m-file name into the command window or click the green run triangle on the tool ribbon? Either should work, but what did you do, if anything? Why do you say you can't run it? Why do you not know how to run the code? Try this link if you don't know how to run your MATLAB program:

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