CCAT Number Series Patterns 2 — Questions and Answers

Question 1: What comes next in the series? 3, 6, 12, 24, 48, ___

72
84
96 (Correct answer)
108

Correct answer: 96

Each term doubles the previous: 48 x 2 = 96.

This is a geometric series with ratio 2. Each term is multiplied by 2. After 48: 48 x 2 = 96.

Question 2: What is the missing number? 100, 91, ___, 73, 64

80
82 (Correct answer)
84
86

Correct answer: 82

The series decreases by 9: 100-9=91, 91-9=82, 82-9=73, 73-9=64.

Arithmetic sequence with common difference -9: 100, 91, 82, 73, 64. Missing term = 91 - 9 = 82.

Question 3: Find the next term: 1, 1, 2, 3, 5, 8, ___

11
12
13 (Correct answer)
14

Correct answer: 13

Fibonacci sequence: each term is the sum of the two preceding. 5 + 8 = 13.

Fibonacci sequence: 1, 1, 2 (1+1), 3 (1+2), 5 (2+3), 8 (3+5), 13 (5+8). The next term is 13.

Question 4: What comes next? 2, 5, 10, 17, 26, ___

35
36
37 (Correct answer)
38

Correct answer: 37

Differences: +3, +5, +7, +9, +11. Differences increase by 2. Next: 26 + 11 = 37.

First differences: 3, 5, 7, 9 (each +2). Next difference = 11. Next term = 26 + 11 = 37. (Terms also follow n^2 + 1: 1+1=2, 4+1=5, 9+1=10, 16+1=17, 25+1=26, 36+1=37.)

Question 5: Complete the series: 81, 27, 9, 3, ___

0
1 (Correct answer)
2
6

Correct answer: 1

Each term is divided by 3: 81/3=27, 27/3=9, 9/3=3, 3/3=1.

Geometric series with ratio 1/3 (dividing by 3 each time). After 3: 3 / 3 = 1.

Question 6: What is the missing number? 5, 10, 20, ___, 80, 160

30
35
40 (Correct answer)
45

Correct answer: 40

Each term doubles: 5, 10, 20, 40, 80, 160. Missing term = 20 x 2 = 40.

Geometric series with ratio 2: 5, 10, 20, 40, 80, 160. The missing term between 20 and 80 is 40.

CCAT Number Series Patterns 2

What comes next in the series? 3, 6, 12, 24, 48, ___

Select your answer