Q: Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
Solution: This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result. 4/2 = 2 2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4 (1/4)/2 = 1/8 and so on.
Q: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Solution: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
Q: Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
Solution: This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.
Q: Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
Solution: In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.
Q: Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Solution: In this series, each number is repeated, then 13 is subtracted to arrive at the next number.
Q: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
Solution: In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.
Q: Look at this series: 58, 52, 46, 40, 34, ... What number should come next?
Solution: This is a simple subtraction series. Each number is 6 less than the previous number.
Q: Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
Solution: This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.
Q: Look at this series: 8, 22, 8, 28, 8, ... What number should come next?
Solution: This is a simple addition series with a random number, 8, interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number.
Q: Look at this series: 31, 29, 24, 22, 17, ... What number should come next?
Solution: This is a simple alternating subtraction series, which subtracts 2, then 5.
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