Infer and justify non-trivial sequence patterns

Q: Infer and justify non-trivial sequence patterns

This question evaluates mathematical reasoning, sequence inference, and pattern-recognition competency by asking the solver to identify governing rules and justify missing terms across numeric sequences and a small grid.

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Question

Pattern Recognition: Next Terms and Missing Value

Identify the rule governing each sequence or row and compute the missing value(s). Justify each answer in 1–2 sentences.

(a) 2, 3, 5, 9, 17, 33, ?
(b) 1, 4, 2, 8, 4, 16, 8, 32, ?, ?
(c) 1, 3, 7, 15, 31, ?
(d) 3x3 grid where each row follows a consistent rule:
- [[7, 4, 11], [5, 9, 14], [?, 13, 18]]

Infer and justify non-trivial sequence patterns

Pattern Recognition: Next Terms and Missing Value

Solution

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Infer and justify non-trivial sequence patterns

Overview

Pattern Recognition: Next Terms and Missing Value

Solution

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