Inductive Reasoning Flashcards

What comes next in the sequence: 1, 4, 9, 16, 25?

Answer: 36

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

Which number continues the pattern: 1, 8, 27, 64?

Answer: 125

These are perfect cubes (1³, 2³, 3³, 4³), so the next term is 5³=125.

In the sequence of letters A, D, G, J, M, which letter comes next?

Answer: P

Each letter advances 3 positions in the alphabet (A+3=D, D+3=G, G+3=J, J+3=M, M+3=P).

The pattern shows: 2, 3, 5, 8, 12. What is the next number?

Answer: 17

The differences between consecutive terms are 1, 2, 3, 4, 5 (increasing by 1), so the next term is 12+5=17.

In the matrix Row 1=(2,4,8) and Row 2=(3,9,27), following the same rule, what is the missing third value in Row 3 starting with 4 and 16?

Answer: 64

Each row follows consecutive powers of the first element (2¹,2²,2³; 3¹,3²,3³; so Row 3 is 4¹,4²,4³=64).

In the series 100, 50, 25, 12.5, what is the next number?

Answer: 6.25

Each term is divided by 2 (halved), so 12.5÷2=6.25.

Which letter group does NOT follow the same skip-one pattern as ACE, BDF, CEG, DFH?

Answer: EGJ

Each group skips one letter between elements, so after E and G the next should be I, not J — the correct group is EGI.