Geo 2.1 Inductive Reasoning POST-Test

Front

How many triangles will be in the next figure?

Back

10

Front

_________________ is the process of reaching a conclusion based on a pattern of examples.

Back

Inductive reasoning

Front

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

Back

Negative

Front

Find the pattern in the sequence below. Write the next number in the sequence: 2, 5, 11, 23, 47, ...

Back

95

Front

A ____________ is an educated guess.

Back

Conjecture

Front

What is 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?

Back

A conjecture is an educated guess based on observations or patterns.

Front

What is the difference between inductive and deductive reasoning?

Back

Inductive reasoning involves making generalizations based on specific instances, while deductive reasoning involves drawing specific conclusions from general principles.

Front

Provide an example of a counterexample.

Back

A counterexample is an example that disproves a statement or conjecture. For instance, if the conjecture is 'All birds can fly,' a counterexample would be an ostrich.

Front

What is the next number in the sequence: 1, 4, 9, 16, ...?

Back

25 (These are perfect squares: 1^2, 2^2, 3^2, 4^2, 5^2).