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4.1a- Inductive Reasoning

4.1a- Inductive Reasoning

Author: Kyle Webb





In this unit, we will begin to discuss reasoning and proof and how these topics relate to both geometry and algebra.  We will accept some statements to be truths, while in other contexts we will develop a general rule after considering specific cases.  The idea of proof is very important in mathematics.              

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What is Inductive Reasoning?

First Difference and Linear Equations

When the first difference in our sequences is a constant number we can use linear equations to predict what any term (nth term) will be in the sequence.

Second Differences and Quadratics

If a constant second difference exists in a sequence, we can use quadratics and a system of equations to predict what any term (nth term) will be in the sequence.