MATLAB: How to write a for loop for summation

summation

Is there another way to do summation without for loop, or how would I do it with a for loop?

I want to iterate from N = 1 to N = 25 with 0 < x < 2*pi of the equation n*(sin^2(x)+cos^2(x)) I'm not so sure how to do a for loop for the summation

Best Answer

Do not use for loop. If you Symbolic Toolbox, you may use symsum:

syms x n
fun(x)=symsum(n*(sin(x)^2+cos(x)^2),n,1,25)

Related Solutions

MATLAB: Summation for series (symsum function), only want odd numbers

That is Square function ,the task needs skills, you can try loop , it is possible to work :

 syms x n 
SUM=0;
a=1:2:9;
F=0.5+(2/pi).*((1/n).*sin(2.*pi.*n.*x));
 for jj=1:length(a)-1
    A=symsum(F,n,a(jj),a(jj+1));
    SUM=SUM+A;
end
pretty(SUM)

MATLAB: How to use a while loop to perform an infinite series approximation

Here's a shabby way of doing it...

 x=pi/2; %test: sin(pi/2)=1;
error=1;
n=1;
count=0;
while error >= 1*(10^-3);
  %x -x^3/3! +x^5/5! ...
  count=count+1;
  terms(count)=(-1)^(count+1)*(x^n)/factorial(n);
  SINx=sum(terms);
  n=n+2;
  error=abs((sin(x)-SINx)/sin(x))*100;
end
  disp(SINx)

Best Answer

Related Solutions

MATLAB: Summation for series (symsum function), only want odd numbers

MATLAB: How to use a while loop to perform an infinite series approximation

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