Taylor Series Summation Too Large

My goal is to run through the first 100 terms of the generalized taylor series for sin(x) for a user defined x value. However the code i currently have is giving an output of a huge number that is not the correct summation. Here is what i have:

x=sym('x')
x=input('Enter a scalar value for x: ')
n=0:99;
k=0;
for i=1:length(n)
    y(i)=((-1).^n(i))*((x.^(2*n(i))+1)/factorial((2*n(i))+1));
    k=k+n(i); 
end
fprintf('Summation of first 100 Terms: %d\n',k)

I'm not really sure what is causing this to happen. Thank you to anyone that can help!

Answer 1

[Mischa Kim]

You need add up the y(i). In other words, use

 k = k + y(i);

[Madi Macias]

Thank you so much again!

Answer 2

[Walter Roberson]

Why are you bothering to calculate y(i) if you are going to ignore its value and base your output k strictly on the sum of the vector n?

[Madi Macias]

Oh goodness i didn't even realize that's what i was doing. How should i fix this?