IBEW Number Sequences and Patterns 3 — Questions and Answers
Question 1: What number is missing: 2, 3, 5, 8, 13, ___, 34?
- 18
- 20
- 21 (Correct answer)
- 22
Correct answer: 21
This is the Fibonacci sequence where each term is the sum of the two previous terms: 8 + 13 = 21.
Question 2: Find the next number: 1, 8, 27, 64, 125, ___?
- 196
- 210
- 216 (Correct answer)
- 225
Correct answer: 216
These are perfect cubes (1³, 2³, 3³…), so the next is 6³ = 216.
Question 3: What is the next term: 50, 45, 39, 32, 24, ___?
- 12
- 14
- 15 (Correct answer)
- 16
Correct answer: 15
The differences decrease by 1 each time (−5, −6, −7, −8, −9), so 24 − 9 = 15.
Question 4: Which value completes the sequence: 4, 7, 12, 19, 28, ___?
- 37
- 38
- 39 (Correct answer)
- 40
Correct answer: 39
The differences increase by 2 each time (+3, +5, +7, +9, +11), so 28 + 11 = 39.
Question 5: Find the missing number: 6, 12, 10, 20, 18, 36, ___?
- 32
- 34 (Correct answer)
- 38
- 40
Correct answer: 34
The pattern alternates: ×2 then −2, so 36 − 2 = 34.
Question 6: What comes next in the series: 3, 9, 27, 81, ___?
- 162
- 243 (Correct answer)
- 270
- 324
Correct answer: 243
Each term is multiplied by 3, so 81 × 3 = 243.
Question 7: What is the next number: 17, 14, 11, 8, 5, ___?
- 0
- 1
- 2 (Correct answer)
- 3
Correct answer: 2
Each term decreases by 3, so 5 − 3 = 2.
What number is missing: 2, 3, 5, 8, 13, ___, 34?