1.2a HW: Inductive Reasoning

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

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

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.

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

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

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

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

h² + 14h + 49.

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

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