Can anyone help me solve this Matlab (while loop) series summation problem?

Question: Use a while-end loop to determine how many terms are required for the series summation given below to exceed 10,000. y=Σ9*k^3-7*k^2+5*k+3

My code:

 clear; clc;
  nsum=0;
  n=0;
  k=0;
  while (k<10000)
  k=sum(9*k^3-7*k^2+5*k+3)
  n=n+1
  end
  fprintf('The number of terms required to exceed 10,000 is %g and the sum is %g',n,k)

What I am stuck with is if I should do k as the sum and plug back the new k for the new while loop trial or make k=k+(1 or some number) and change to (nsum<10000), but if I do the latter then the total number of terms will be different each time I change to like k+0.5

[Guillaume]

Note that

 x = sum(expression_that_result_in_a_scalar)

is exactly the same as

x = expression_that_result_in_a_scalar

That is there is nothing for sum to sum since there's just one number.

Answer 1

[James Tursa]

To make things easier on yourself, why not use the exact same variable names as the question? E.g., use k as the indexing variable and use y to hold the sum. So an outline would be something like this:

y = 0; % Initialize sum
k = 0; % Initialize the indexing variable
while( __________ )
    k = k + 1;
    y = y + __________;
end

You will need to fill in the blanks above with appropriate code.