32 31 32 29 32 27 32

This is a simple subtraction series, in which 4 is subtracted from each number to arrive at the next.

This is a simple subtraction series, in which 3 is subtracted from each number to arrive at the next.

In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.

Here, there are two alternating patterns, with every other number following a different pattern. The first pattern begins with 13 and adds 2 to each number to arrive at the next; the alternating pattern begins with 29 and subtracts 3 each time.

This is an alternating addition series, with a random number, 35, interpolated as every third number. The pattern of addition is to add 2, add 5, add 2, and so on. The number 35 comes after each "add 2" step/

This is an alternating addition series with repetition, in which a random number, 66, is interpolated as every third number. The regular series adds 2, then 3, then 2, and so on, with 66 repeated after each "add 2" step.

This is an alternating addition series that adds 5, then 2, then 5, and so on.

Two patterns alternate here, with every third number following the alternate pattern. In the main series, beginning with 4, 3 is added to each number to arrive at the next. In the alternating series, beginning with 26, 6 is subtracted from each number to arrive at the next.

In this simple subtraction series, the numbers decrease by 3.

Here, every third number follows a different pattern from the main series. In the main series, beginning with 16, 10 is added to each number to arrive at the next. In the alternating series, beginning with 56, 12 is added to each number to arrive at the next.