Numerical Series Patterns Flashcards

What is the next number in the series: 3, 6, 12, 24, 48, ?

Answer: 96

Each term is doubled, so 48 × 2 = 96.

Find the missing number: 100, 90, 81, 73, 66, ?

Answer: 60

The differences are 10, 9, 8, 7, 6 — decreasing by 1 each time, so 66 − 6 = 60.

What comes next: 1, 4, 9, 16, 25, ?

Answer: 36

These are perfect squares (1², 2², 3², 4², 5²), so the next is 6² = 36.

Complete the series: 2, 5, 11, 23, 47, ?

Answer: 95

Each term is multiplied by 2 and then 1 is added: 47 × 2 + 1 = 95.

Find the next number: 729, 243, 81, 27, ?

Answer: 9

Each term is divided by 3, so 27 ÷ 3 = 9.

What is the missing value: 7, 14, 28, 56, ?, 224

Answer: 112

Each term is multiplied by 2, so 56 × 2 = 112.

Complete the series: 1, 3, 6, 10, 15, ?

Answer: 21

These are triangular numbers; differences increase by 1 each time (2, 3, 4, 5, 6), so 15 + 6 = 21.