Inductive Reasoning and Conjecture Challenge

What is inductive reasoning?

• Reasoning that does not require any examples

• Reasoning that uses only mathematical formulas

• Reasoning based on specific examples to reach a conclusion

• Reasoning based on general principles to reach a conclusion

What is a conjecture?

• A hypothesis that cannot be tested

• A concluding statement reached using inductive reasoning

• A random guess

• A mathematical proof

In the sequence 2, 4, 12, 48, 240, what is the pattern?

• Adding 2, then 3, then 4, then 5

• Dividing by 2, then 3, then 4, then 5

• Multiplying by 2, then 3, then 4, then 5

• Subtracting 2, then 3, then 4, then 5

What is the next number in the sequence 2, 4, 12, 48, 240?

• 720

• 2880

• 1440

• 3600

In the figure pattern where the number of segments increases by multiples of 3, what is the next number of segments after 18?

• 33

• 24

• 27

• 30

What is the next term in the pattern 1/1, 1/4, 1/9, 1/16?

• 1/20

• 1/25

• 1/30

• 1/36

What is the sum of an odd number and an even number?

• Cannot be determined

• Always odd

• Sometimes even, sometimes odd

• Always even

What is the product of two odd numbers?

• Cannot be determined

• Always even

• Always odd

• Sometimes even, sometimes odd

What is a counterexample?

• An example that supports a statement

• An example that proves a statement is false

• An example that is irrelevant to the statement

• An example that is always true

Which of the following is a counterexample to the statement 'If n is a real number, then n squared is greater than n'?

• n = 1

• n = 2

• n = 0

• n = -1