Need to find the smallest [n] such that the sum for a harmonic series is greater than some value X.

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Edna1
Edna1 2021-4-14
评论： Edna1 2021-4-14
I am new to programming/MATLAB and I know the attached code is incorrect, but I am lost. My goal is to find the smallest n-value such that the sum for a harmonic series is greater than some integer value (say 10). However, when I print [n], I just get the defined n value in the first line of code. I have commented my code to reflect my understanding. Please call me out when needed.
n = 200; %max number of rows that will print
S = 0; %initial starting value of sum
for i = 1:n %for the rows 1 to n (i.e. 200 rows)
S = S + 1/i; %apply this fn. to each element
if S >= 10 %if the sum (S) is greater than 10
break %the loop "breaks" (i.e. stops applying the fn.)
end %ends the break
end %ends the loop from row 1 to 200
n

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Walter Roberson
Walter Roberson 2021-4-14
Ran in:
n = 25000; %max number of rows that will print
S = 0; %initial starting value of sum
for i = 1:n %for the rows 1 to n (i.e. 200 rows)
S = S + 1/i; %apply this fn. to each element
if S >= 10 %if the sum (S) is greater than 10
break %the loop "breaks" (i.e. stops applying the fn.)
end %ends the break
end %ends the loop from row 1 to 200
i
i = 12367
S
S = 10.0000
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Edna1
Edna1 2021-4-14
Thank you so much! I was very close then apparently. I tried printing [i] previously, but it looks like when the n-range is not large enough, it just returns the limit of the variable (until guessing the sufficient range limit).
Thanks again!

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