IBEW Aptitude Test Number Sequences and Patterns Questions and Answers 3

Question 1

Identify the type of sequence: 3, 6, 12, 24, 48

Accepted Answer

Geometric with r=2

Answer

Ratios: 6/3=2, 12/6=2, 24/12=2, 48/24=2. Constant ratio r=2, so this is geometric.

Question 2

What are the next two terms: 1, 2, 4, 7, 11, 16, ___

Accepted Answer

21, 27

Answer

Differences: 1, 2, 3, 4, 5 — increasing by 1. Next differences: 5 and 6. 16+5=21, 21+6=27.

Question 3

The sequence uses the rule: multiply by 2, subtract 3. Starting from 5, what is the 4th term?

Accepted Answer

19

Answer

5 → 5×2-3=7 → 7×2-3=11 → 11×2-3=19. 4th term is 19.

Question 4

Find the missing number: 2, 6, 18, ___, 162, 486

Accepted Answer

54

Answer

Geometric sequence with r=3: 2×3=6, 6×3=18, 18×3=54, 54×3=162, 162×3=486.

Question 5

A pattern of shapes alternates: ○ △ □ ○ △ □ ○ ... What is the 14th shape?

Accepted Answer

△

Answer

Pattern repeats every 3: position mod 3. 14 mod 3 = 2 (remainder). Position 2 in the cycle = △.

IBEW - Aptitude Test Practice Test