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- For Exercises 1–8, utilize inductive reasoning to identify the next two terms in each sequence provided. Carefully analyze the patterns in the sequences to ensure accurate answers.
- Complete Exercises 9–12, where you will coordinate inductive reasoning to draw the next two shapes in each picture pattern. Utilize tools in the editor if available to assist in illustration.
- In Exercises 13–15, evaluate each conjecture regarding mathematical implications. Indicate whether the conjecture seems true or false, and for false conjectures, provide a counterexample if applicable.
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2.1 Use Inductive Reasoning. A conjecture is an unproven statement that is based on observations. You use inductive reasoning when you find a pattern in specific cases and then write a conjecture for the general case.
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