loop iteration in matlab

I have the following polynomial

F(x) = 1^5 + (1^5 + 2^5)+ (1^5 + 2^5 + 3^5) + ... + (1^5 + 2^5 + 3^5 + 4^5 + ... + x^5)

How can I write a loop iteration for this polynomials?

[Stephen23]

Why do you need a loop?

1^5 + (1^5 + 2^5) + (1^5 + 2^5 + 3^5) + (1^5 + 2^5 + 3^5 + 4^5)

ans = 1610

sum(cumsum((1:4).^5))

ans = 1610

Answer 1

[KSSV]

x = 10 ; 
thesum = 0 ; 

for i = 1:x
  thesum = thesum+sum((1:i).^5) ;
end

[Zeynep Toprak]

thanks a lot. Well, can we also do this without loop iteration, that's, vectorization?

[KSSV]

Yes very much it can be done: See Rik answer.

[Zeynep Toprak]

many thanks

[Zeynep Toprak]

btw, your code gives wrong result:(

[KSSV]

Hey..yes there is a typo error in the code. I have edited it now.

Answer 2

[Rik]

I would suggest not using a loop:

F=@(x) sum( ( (1:x).^5 ).*(x:-1:1) );

[Zeynep Toprak]

this is with vectorization method?

[Rik]

Yes, and the code posted by Stephen in a comment is also vectorized.

There are probably some exceptions I'm not thinking of, but if you don't see a loop (or cellfun/arrayfun) the code is vectorized.