how to write a Matlab code to sum 10 terms of rational numbers?

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Omar B.
Omar B. 2021-7-23
评论： Omar B. 2021-7-23
How to write a matlab code to find the sum of 10 terms of the follwing series:
(39/2)-(36/5)+(31/10)-(24/17)+...
  2 个评论
James Tursa
James Tursa 2021-7-23
What is the formula for the terms? Do you want a double precision answer, or an exact fraction (i.e. symbolic) answer?

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采纳的回答

Debarati Bhattacharyya
Hi Omar,
Please find the function below which calculates the sum of the series as you are looking for:
function calculateSum(num_of_terms)
% To calculate the sum of the below series upto n terms
% 'n' is provided by the user
% (39/2)-(36/5)+(31/10)-(24/17)+...
sum = 0;
first_num = 39;
first_denom = 2;
for k = 1:num_of_terms
disp([num2str(first_num), '/', num2str(first_denom)]);
sum = sum + (-1)^(k+1)*((first_num)/(first_denom));
first_num = (first_num-(2*k+1));
first_denom = (first_denom+(2*k+1));
end
disp(sum);
end
Please let me know if this works for you!

更多回答（1 个）

dpb
dpb 2021-7-23
编辑：dpb 2021-7-23
N1=39; d1=8;
N2=36; d2=12;
D1=2; D2=5;
S=N1/D1-N2/D2;
for i=2:10
N1=N1-d1;
N2=N2-d2;
D1=D1+d1;
D2=D2+d2
S=S+N1/D1-N2/D2;
end
It could be written with vectors and colon more concisely; above is "dead-ahead" brute approach...

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