Determine the continuation of the series 63, 55, 48, 42, 37, 33.

To determine the continuation of the series 63, 55, 48, 42, 37, 33, we need to first identify the pattern in the sequence of numbers.

By examining the differences between consecutive terms, we can see that the series begins with the following differences:

• From 63 to 55, the difference is -8.

• From 55 to 48, the difference is -7.
• From 48 to 42, the difference is -6.
• From 42 to 37, the difference is -5.
• From 37 to 33, the difference is -4.

These differences (-8, -7, -6, -5, -4) are getting progressively smaller by 1 each time. Following this pattern, the next difference should be -3, continuing the decreasing trend.

To find the next term in the sequence, we subtract 3 from the last number, 33: 33 - 3 = 30.

Therefore, the next term in the series is 30, making it the correct continuation of the sequence.