HW conjectures and counterexamples

• x = 4

• x = -2

• x = 2

• x = -4

• a = 6

• a = 0

• a = 5

• a = 1

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

• goldfish
• frog
• elephant
• cat

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

2, 4, 7, 11.....

Make a conjecture as to what the pattern is

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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.

What conjecture would you make about this pattern

2, 5, 10, 17, 26, 37

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Complete the conjecture.
The sum of two negative numbers is ___________.

Make a conjecture about this pattern
-3, 6, -12, 24, ...

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Make a conjecture about this pattern
1, 3, 7, 15, 31, ___ , ___

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