Adding an element during each iteration of the loop at the end of an existing array

Question

Rishabh Umrao 2019-1-28

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https://ww2.mathworks.cn/matlabcentral/answers/441925-adding-an-element-during-each-iteration-of-the-loop-at-the-end-of-an-existing-array

编辑： Rishabh Umrao 2019-1-29

MacLaurin equation

function result = MacLaurin(a,n)
% Program to calculate MacLaurin expression
% calculating factorial for the expression
fact = [1];
a = [1]
vec = [1:n];
% loop to calculate factorial and add the element to fact
for i = 2:n
    c = prod(1:i);
% now i want to add c to array fact
    fact[,c];
end
% here i want to put respective factorial values, how to write this part?
a = [a, 1./fact];
b = [1, a.^vec];
% adding respective elements to obtain final expression
result = 1 + b./a;
result = sum(result);
end

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Answer 1

Alberto Mora 2019-1-28

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https://ww2.mathworks.cn/matlabcentral/answers/441925-adding-an-element-during-each-iteration-of-the-loop-at-the-end-of-an-existing-array#answer_358374

编辑：Alberto Mora 2019-1-29

在 MATLAB Online 中打开

Try this:

function Res = MacLaurin(a,n)
% Program to calculate MacLaurin expression
% calculating factorial for the expression
Res=0;
% loop to calculate factorial and sum to the previous
for i = 0:n
    Res = Res + a^i/factorial(i);
end
end

Regards

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Alberto Mora 2019-1-29

编辑：Alberto Mora 2019-1-29

在 MATLAB Online 中打开

I'm sorry but I do not understand your question.

In the following version, you create a long vector with each term in the for loop, and at the end you sum all the terms. Is it answer to your question?

function Res = MacLaurin(a,n)
% Program to calculate MacLaurin expression
% calculating factorial for the expression
Res=0;
% loop to calculate each factorial term in the Res array
for i = 0:n
    Res(i+1) = a^i/factorial(i);
end
Res=sum(Res);
end

Rishabh Umrao 2019-1-29

编辑：Rishabh Umrao 2019-1-29

Hi Alberto,

Yes, your method is correct and answer it is giving is also correct but,

I was trying to ask that if we can do by this method -->

function result = MacLaurin(a,n)
% Program to calculate MacLaurin expression
% calculating factorial for the expression
a = cumprod(1:5);
disp(a);
b = 1./a;
vec = 1:5;
d = 0.5.^vec;
c =  1 + sum(d.*b);
result = c;
end

I did some brain storming and found out one silly mistake that was creating some error.

By the way thanks for answering my doubt and showing me another method which can give the same result.

I was particular about this method because my assignement was to solve in this way, without using loops.

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Adding an element during each iteration of the loop at the end of an existing array

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Adding an element during each iteration of the loop at the end of an existing array

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