js webwork

To solve this problem, we need to find the sum of all even numbers between 0 and 26, inclusive, using a while loop in JavaScript. The solution involves iterating through the numbers and summing the even ones efficiently.

Approach

The optimal approach is to start at 0 and increment by 2 in each iteration of the while loop. This way, we directly access each even number without needing to check if a number is even using a conditional statement. By incrementing by 2, we ensure that every number added to the sum is even, starting from 0 up to and including 26. This method is efficient as it reduces the number of iterations and avoids unnecessary checks.

Solution Code

javascript

let answer = 0;

let i = 0;

while (i <= 26) {

answer += i;

i += 2;

Explanation

1. Initialization: We initialize `answer` to 0 to store the sum of even numbers. We also initialize `i` to 0, which is our loop variable starting at the first even number.

2. While Loop: The loop runs as long as `i` is less than or equal to 26. In each iteration:

3. Termination: The loop terminates when `i` exceeds 26. By this point, all even numbers from 0 to 26 have been summed up in `answer`.

This approach efficiently computes the sum by leveraging the known sequence of even numbers, thus minimizing the number of iterations and avoiding conditional checks within the loop. The result is stored in the variable `answer` as required.