This is an alternating repetition series, with a random number, 22, interpolated as every third number into an otherwise simple addition series.

Correct Option: C

This is an alternating repetition series, with a random number, 22, interpolated as every third number into an otherwise simple addition series. In the addition series, 4 is added to each number to arrive at the next number.

Here is a simple addition series,

Correct Option: D

Here is a simple addition series, which begins with 9 and adds 7.

This is an alternating repetition series, in which a random number, 61, is interpolated as every third number into an otherwise simple subtraction series.

Correct Option: E

This is an alternating repetition series, in which a random number, 61, is interpolated as every third number into an otherwise simple subtraction series. Starting with the second number, 57, each number (except 61) is 7 less than the previous number.

This is an alternating addition series with a random number, 4, interpolated as every third number.

Correct Option: D

This is an alternating addition series with a random number, 4, interpolated as every third number. In the main series, 1 is added, then 2 is added, then 1, then 2, and so on.

This is an alternating subtraction series with repetition. There are two different patterns here. In the first, a number repeats itself; then 3 is added to that number to arrive at the next number, which also repeats.

Correct Option: E

This is an alternating subtraction series with repetition. There are two different patterns here. In the first, a number repeats itself; then 3 is added to that number to arrive at the next number, which also repeats. This gives the series 17, 17, 20, 20, 23, and so on. Every third number follows a second pattern, in which 3 is subtracted from each number to arrive at the next : 34, 31, 28.