PI Number Series Problems 5

Question 1

What is the next number: 1, 2, 4, 7, 11, 16, ___?

Accepted Answer

22

Answer

Differences are 1, 2, 3, 4, 5, 6 — increasing by 1, so 16 + 6 = 22.

Question 2

Find the missing number: 512, 256, 128, ___, 32

Accepted Answer

64

Answer

Each term is halved, so 128 ÷ 2 = 64, and 64 ÷ 2 = 32 confirms it.

Question 3

Complete the series: 1, 3, 7, 15, 31, ___

Accepted Answer

63

Answer

Each term follows the rule 2n − 1 (or: ×2 +1), so 31 × 2 + 1 = 63.

Question 4

What comes next: 9, 16, 25, 36, 49, ___?

Accepted Answer

64

Answer

These are perfect squares starting at 3², and the next is 8² = 64.

Question 5

Find the next term: 5, 7, 12, 19, 31, ___?

Accepted Answer

50

Answer

Each term is the sum of the two preceding terms, so 19 + 31 = 50.

PI - Cognitive Assessment Practice Test