# Find the sum of the first n

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##### 1 Comment

Yogesh
on 14 Feb 2024

Consider the following divergent infinite series:

S=1/2+2/3+3/4+⋯+n/n+1

Write a MATLAB code that takes a value of n and returns S.

Please report the values below: Please report the value of S for n=10

### Answers (5)

John Chilleri
on 15 Feb 2017

Edited: John Chilleri
on 15 Feb 2017

Hello,

This can be done simply with,

n = 100; % whatever you want

sum_harm = 0;

for i = 1:n

sum_harm = sum_harm + 1/i;

end

or even,

n = 100; % whatever you want

sum_harm = sum(1./(1:n));

Hope this helps!

##### 7 Comments

Walter Roberson
on 8 Sep 2018

Walter Roberson
on 4 Jun 2021

format long g

n = 1e10; % whatever you want

sum_harm_forward = 0;

sum_harm_reverse = 0;

for i = 1:n

sum_harm_forward = sum_harm_forward + 1/i;

sum_harm_reverse = sum_harm_reverse + 1/(n - i + 1);

end

sum_harm_forward

sum_harm_reverse

sum_harm_forward - sum_harm_reverse

Roger Stafford
on 15 Feb 2017

Or how about this one-liner:

H = det(diag(2:n)+ones(n-1))/factorial(n);

##### 2 Comments

Walter Roberson
on 8 Sep 2018

syms x n

symsum(1/x, x, 1, n)

##### 1 Comment

Hesbon Osoro
on 3 Jun 2021

Vaibhav
on 15 Feb 2023

the examples in the course videos have been about convergent series. In this example, you will code a series that does not converge: S=1+12√+13√+⋯+1n√

Write a MATLAB code that takes a value of n and returns S. Please report the values below:

Please report the value of S for n=10

Please report the value of S for n=100

Please report the value of S for n=500

##### 1 Comment

Walter Roberson
on 15 Feb 2023

Is that the sum of 1 + 1*x^(1/2) + 1*x^(1/3) ... + 1*x^(1/n) ?

Is it the sum of 1 + 1/sqrt(2) + 1/sqrt(3) + ... + 1/sqrt(n) ?

format long g

syms n m

S = 1 + symsum(1/sqrt(factorial(n)), n, 2, m)

double(subs(S, m, [10 100 500]))

Yogesh
on 14 Feb 2024

Consider the following divergent infinite series:

S=1/2+2/3+3/4+⋯+n/n+1

Write a MATLAB code that takes a value of n and returns S.

Please report the values below: Please report the value of S for n=10

##### 1 Comment

Steven Lord
on 14 Feb 2024

This sounds like a homework assignment. If it is, show us the code you've written to try to solve the problem and ask a specific question about where you're having difficulty and we may be able to provide some guidance.

If you aren't sure where to start because you're not familiar with how to write MATLAB code, I suggest you start with the free MATLAB Onramp tutorial to quickly learn the essentials of MATLAB.

If you aren't sure where to start because you're not familiar with the mathematics you'll need to solve the problem, I recommend asking your professor and/or teaching assistant for help.

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