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Infer and justify non-trivial sequence patterns

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EasyData ScientistTechnical ScreenCoding & Algorithms

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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.

Infer the rule and provide the next values; justify each 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) Fill the ? in the 3×3 grid where each row follows a consistent rule: [[7, 4, 11], [5, 9, 14], [?, 13, 18]].