1.2a HW: Inductive Reasoning

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What is Inductive Reasoning?

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Inductive reasoning is a method of reasoning in which a general rule or conclusion is drawn from specific examples or observations.

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What is a sequence in mathematics?

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A sequence is an ordered list of numbers or terms that follow a specific pattern or rule.

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How do you find the next term in a sequence?

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To find the next term in a sequence, identify the pattern or rule that governs the sequence and apply it to determine the subsequent term.

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What is the next term in the sequence: A, D, G, J?

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M (The pattern increases by 3 letters each time: A(1), D(4), G(7), J(10), M(13)).

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What is the next odd number after 7?

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9 (The sequence of odd numbers is 1, 3, 5, 7, 9, ...).

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What is the next number in the sequence: 1, -1, 2, -2, 3?

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-3 (The pattern alternates between positive and negative numbers, increasing by 1 each time).

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What does it mean to expand an expression?

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To expand an expression means to multiply out the terms and simplify it into a polynomial form.

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Expand and simplify (h + 7)².

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h² + 14h + 49.

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What is a pattern in mathematics?

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A pattern is a repeated or predictable sequence of numbers, shapes, or other elements.

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How do you identify a pattern in a sequence?

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Look for consistent differences, ratios, or other relationships between the terms.