2.1 Inductive Reasoning

To fully disprove a conjecture, one needs to find only ONE counterexample.

• True

• False

Which of the following conjectures is false?

• The product of two even numbers is even.
• The sum of two even numbers is even.
• The product of two odd numbers is odd.
• The sum of two odd numbers is odd.

How many counters would come next?

• 5
• 7
• 9
• 11

How many squares are in Figure 4?

• 10

• 11

• 12

• 13

• 14

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

• goldfish
• frog
• elephant
• cat

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

• 10
• -2
• 0
• True. There is no counterexample.

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

How would you describe this pattern's rule?

65, 62, 59, 56, 53, 50

• Subtract 2

• Subtract 3

• Subtract 4

• Add 3

What are the missing numbers in this pattern?

23, 33, ___, 53, ___, 73

• 32, 62

• 42, 63

• 43, 63

• 42, 62

If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

• 2/3
• 4/5
• 1/2
• 3/2