In the given incomplete method, the variable pos is initialized to start + 1. Then a while loop is used with some condition that has to be determined. Inside the while loop, the variable pos is incremented. Finally, the pos variable is returned as the index of the first occurrence of the value val beyond the position start.

To determine the condition of the while loop, we need to check if the value of arr[pos] is equal to val. If it is not equal to val, then we need to continue iterating through the array until we find the first occurrence of val beyond the position start.

However, we also need to make sure that we don’t go outside the bounds of the array while iterating through it. Therefore, we need to include a check in the condition to make sure that pos is less than the length of arr. If pos is equal to or greater than the length of arr, it means that we have gone through the entire array and haven’t found the value val.

Based on these requirements, the following condition can be used in the while loop:

pos &lt; arr.length && arr[pos] != val

This condition checks if the value of arr[pos] is not equal to val and pos is less than the length of arr. If this condition is true, then we continue iterating through the array. If the condition becomes false, it means that we have found the first occurrence of val beyond the position start.