2.1 Inductive reasoning, conjectures, and counterexamples

2.1 Inductive reasoning, conjectures, and counterexamples

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

Created by

Wayground Content

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16 questions

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1.

FLASHCARD QUESTION

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.

2.

FLASHCARD QUESTION

Front

What is a conjecture?

Back

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

3.

FLASHCARD QUESTION

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement.

4.

FLASHCARD QUESTION

Front

Find the next number in the sequence: 5, -10, 15, -20, ________

Back

25

5.

FLASHCARD QUESTION

Front

Make a conjecture about the next item in the sequence: 12, 6, 3, 1.5, 0.75, . . . . .

Back

Divide the previous number by 2.

6.

FLASHCARD QUESTION

Front

What are the missing numbers in this pattern? 23, 33, ___, 53, ___, 73

Back

43, 63

7.

FLASHCARD QUESTION

Front

What are the next two numbers in this pattern? 12, 17, 22, 27, ___, ___

Back

32, 37

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