Final answer:
To accomplish this task, you can use the Java programming language to declare an integer array, allocate memory for it, and populate it with numbers 1 through 1000 using a loop.
Step-by-step explanation:
To write code that follows the steps described, we can use a programming language such as Java. Here is an example:
int[] b = new int[1000];
for (int i = 0; i < 1000; i++) {
b[i] = i + 1;
}
This code declares an integer array variable called 'b', allocates a new array of 1000 integers, and then places the numbers 1 through 1000 into the array using a loop.