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Chapter 1-1: Using Patterns and Inductive Reasoning

Inductive Reasoning: To reach a conclusion based on a pattern of specific examples or past events.

Find the next two terms in the sequence to describe the pattern

Example A: 2, 4, 6, 8,...,...

Example B: 1/3, 1/6, 1/12, 1/24, ..., ...

Example C: 1, 2, 4, 5, 10, 11, 22, ..., ...

Conjecture: a conclusion based on inductive reasoning

Example A: What is next?

Problem 1-1

Find the next 2 numbers in the sequence.

1, 2, 4, 7, 11, 16, 22, ..., ...

A- 29, 37

B- 28, 39

C- 30, 40