So basically an arithmetic sequence has a common difference, a number which is either added or subtracted at a constant rate (only that number). A geometric sequence is the ratio between two numbers, meaning they are either multiplied or divided by the same number. The sequence would be neither if it follows none of these patterns. So by this logic:
A reflection is the opposite direction so, if it's eight units to the left, the reflection will be eight units to the right, and we know the right is positive and left is negative.