IBEW Number Sequences and Patterns 3

Question 1

What number is missing: 2, 3, 5, 8, 13, ___, 34?

Accepted Answer

21

Answer

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, ___?

Accepted Answer

216

Answer

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, ___?

Accepted Answer

15

Answer

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, ___?

Accepted Answer

39

Answer

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, ___?

Accepted Answer

34

Answer

The pattern alternates: ×2 then −2, so 36 − 2 = 34.

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