How to evaluate sigma (summation) expression using meshgrid() and sum()?

I would like to evaluate the following expression using functions meshgrid, sum and dot operations: y = Ʃ(n=1 to N) xn*[cos(x2 + n2)/xn], where x is the vector of four equally spaced values from 1 to 2, N=10.

I wish to verify whether this is how it should be done:

n = 1:10;
x = linspace(1,2,4);
[X,N] = meshgrid(x,n);
y1 = (X.^N).*((cos(X.^2 + N.^2))./(X.*N));
y = sum(y1);

[Chaitanya Chitale]

Yuval,

Could you confirm that the equation is: y = Ʃ(n=1 to N) xn*[cos(xn^2 + n^2)/xn]

[Yuval]

I am terribly sorry, the expression should have been: Ʃ(n=1 to N) [(x^n)*(cos(x^2 + n^2)/xn)]

Answer 1

[Image Analyst]

"the expression should have been: Ʃ(n=1 to N) [(x^n)*(cos(x^2 + n^2)/xn)]"

well I would think that xn is the nth element of x and so should be just X. So the equation would be

y1 = (X.^N) .* cos(X.^2 + N.^2) ./ X;

Final Code

clc;
clearvars;
n = 1:10
x = linspace(1,2,4)
[X,N] = meshgrid(x,n)
y1 = (X.^N) .* cos(X.^2 + N.^2) ./ X

[Yuval]

Typing xn, I took it for granted x*n was understood. Pardon me for that. Would you now please care to evaluate my original code (my first post)?