

Directions to Solve:
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?
Explanation:
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.
Directions: Look carefully for the pattern, and then choose which pair of numbers comes next.
Explanation:
This is an alternating addition series, with a random number, 21, interpolated as every third number. The addition series alternates between adding 3 and adding 4. The number 21 appears after each number arrived at by adding 3.
Directions: Look carefully for the pattern, and then choose which pair of numbers comes next.
Justification: The relationship is x : x(x + 1).
Directions: Look carefully for the pattern, and then choose which pair of numbers comes next.
Justification: Number -> Sum of digits -> new sum of digits
363 -> 3 + 6 + 3 = 12 -> 1 + 2 = 3
489 -> 4 + 8 + 9 = 21 -> 2 + 1 = 3
579 -> 5 + 7 + 9 = 21 -> 2 + 1 = 3
471 -> 4 + 7 + 1 = 12 -> 1 + 2 = 3