MATLAB: Indexing through an array

Question

This program is designed to approximate cubed roots based on user input values of the number they want to approximate and their estimate. The loop iterates until the error is less than 1e-9.

I am trying to store all of my estimate values into a vector array and plot them on a graph, but I keep getting an error saying that my index values exceed the array elements. Any clarification about how to resolve this issue would be greatly appreciated.

num = input('Enter a number you would like to find the cubed root of: ')
est = input('Enter your initial estimate: ')
err = abs(num - est.^3)
est(1) = est
k = 2;
while err > 1e-9    
    est(k+1) = (1/3)*(2.*est(k)+num./est(k.^2));
    err = abs(num - est(k.^3));
    k = k + 1;
end
plot(1:length(est),est)
fprintf('The cubed root of %g is approximately %.3f',num,est)

Answer 1

num = input('Enter a number you would like to find the cubed root of: ');
est = input('Enter your initial estimate: ');
err = abs(num - est^3);
k = 2;
while err > 1e-9    
    est(k) = (1/3)*(2*est(k-1)+num./(est(k-1)^2));
    err = abs(num - est(k)^3);
    k = k + 1;
end
plot(1:length(est),est);
fprintf('The cubed root of %g is approximately %.3f',num,est(end));