Inductive reasoning and conjecture

Front

What is the type of reasoning that involves making conclusions based on observations and patterns?

Back

Inductive reasoning

Front

What is a counterexample used for in reasoning?

Back

To prove that a conjecture is false.

Front

What is the seventh term in the sequence: A, D, G, J, _____?

Back

S

Front

What is the definition of inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or patterns.

Front

What is a conjecture in mathematics?

Back

A conjecture is a statement that is believed to be true based on observations but has not yet been proven.

Front

What is the difference between inductive reasoning and deductive reasoning?

Back

Inductive reasoning involves drawing general conclusions from specific instances, while deductive reasoning involves applying general principles to reach specific conclusions.

Front

What is an example of inductive reasoning?

Back

If you observe that the sun rises in the east every morning, you might conclude that the sun always rises in the east.

Front

What is the purpose of a counterexample?

Back

A counterexample is used to demonstrate that a conjecture is not universally true.

Front

How can you identify a pattern in a sequence?

Back

By examining the differences or relationships between consecutive terms.

Front

What is the next term in the sequence: 2, 4, 6, 8, _____?

Back

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