Patterns and Inductive Reasoning

Front

Inductive Reasoning means...

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Testing and observing patterns to make conjectures.

Front

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

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negative

Front

Which of the following conjectures is false? The sum of two odd numbers is ___________.

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odd.

Front

Find the next number in the sequence: 1, -1, 2, -2, 3, ___

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-3

Front

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

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32, 37

Front

What is a conjecture?

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A conjecture is a conclusion or proposition based on incomplete information, which is yet to be proven.

Front

What is the pattern in the sequence: 5, 10, 15, 20, ___?

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25 (increasing by 5).

Front

If the product of two even numbers is always even, what can we say about the product of an even and an odd number?

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The product of an even and an odd number is always even.

Front

What is the next number in the sequence: 2, 4, 8, 16, ___?

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32 (each number is multiplied by 2).

Front

Identify the next two numbers in the pattern: 1, 4, 9, 16, ___, ___

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25, 36 (squares of 1, 2, 3, 4, 5, 6).