MATLAB Answers

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

조회 수: 2(최근 30일)
Omar B.
Omar B. 2021년 7월 23일
댓글: Omar B. 2021년 7월 23일
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)+...
  댓글 수: 2
Omar B.
Omar B. 2021년 7월 23일
I could not find the formula. I want a double precision answer.

댓글을 달려면 로그인하십시오.

채택된 답변

Debarati Bhattacharyya
Debarati Bhattacharyya 2021년 7월 23일
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!
  댓글 수: 1
Omar B.
Omar B. 2021년 7월 23일
Thank you so much.
I also tried
sum=0;
for k=1:10
sum = sum + (-1)^(k-1)*((40-k^2)/(k^2+1));
end
>> disp(sum);

댓글을 달려면 로그인하십시오.

추가 답변(1개)

dpb
dpb 2021년 7월 23일
편집: dpb 2021년 7월 23일
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...

태그

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by