Inductive Reasoning Flashcards

What number comes next in the sequence: 3, 7, 15, 31, 63?

Answer: 127

Each term is calculated by doubling the previous term and adding 1 (×2+1), so 63×2+1=127.

In the series 2, 5, 10, 17, 26, what is the next number?

Answer: 37

The differences between consecutive terms are 3, 5, 7, 9, 11 (increasing by 2), so 26+11=37.

Which letter continues the series: B, E, H, K, N?

Answer: Q

Each letter advances 3 positions in the alphabet (B+3=E, E+3=H, H+3=K, K+3=N, N+3=Q).

Which number does NOT belong in the set: 4, 8, 12, 17, 20, 24?

Answer: 17

All other numbers are multiples of 4, but 17 is not divisible by 4.

If Shape 1 has 3 sides, Shape 2 has 5 sides, Shape 3 has 7 sides, how many sides does Shape 5 have?

Answer: 11

Each shape adds 2 sides to the previous (3, 5, 7, 9, 11), so Shape 5 has 11 sides.

In the series Z, X, V, T, what letter comes next?

Answer: R

The series moves backward through the alphabet, skipping one letter each time (Z→X→V→T→R).

What pattern rule applies to the pairs (2,4), (3,9), (4,16), (5,25)?

Answer: The second number is the square of the first

In each pair, the second number equals the first number squared (2²=4, 3²=9, 4²=16, 5²=25).