2.1.1 Using Inductive Reasoning to Make Conjectures − Practice

1. Find the next item in the pattern.

2. Find the next item in the pattern. 1, 3, 9, 27, 81, 243, …

3. Determine if this conjecture is true. If not, give a counterexample. The difference of two negative numbers is a positive number.

4. Determine if this conjecture is true. If not, give a counterexample. The product of two negative numbers is a positive number.

5. Determine if this conjecture is true. If not, give a counterexample. The square of an even integer is odd.

6. Determine if this conjecture is true. If not, give a counterexample. Two complementary angles are both acute.

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