5.OA.3 Numerical Patterns

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What is a numerical pattern?

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A numerical pattern is a sequence of numbers that follows a specific rule or formula, allowing for the prediction of subsequent numbers in the sequence.

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How do you identify the rule in a numerical pattern?

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To identify the rule in a numerical pattern, observe the differences or ratios between consecutive terms and determine if they follow a consistent operation such as addition, subtraction, multiplication, or division.

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What is the rule for the pattern: 5, 10, 15, 20...?

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The rule for this pattern is 'Add 5'.

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If a pattern starts at 3 and follows the rule 'Add 4', what are the first five terms?

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The first five terms are 3, 7, 11, 15, 19.

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What is the difference between an arithmetic pattern and a geometric pattern?

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An arithmetic pattern involves adding or subtracting a constant value, while a geometric pattern involves multiplying or dividing by a constant value.

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How do you find the nth term of an arithmetic sequence?

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The nth term of an arithmetic sequence can be found using the formula: nth term = first term + (n-1) * common difference.

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What is the common difference in the sequence: 2, 5, 8, 11...?

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The common difference in this sequence is 3.

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In the pattern 4, 8, 16, 32..., what is the rule?

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The rule for this pattern is 'Multiply by 2'.

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If a pattern starts at 10 and follows the rule 'Multiply by 3', what are the first three terms?

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The first three terms are 10, 30, 90.

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What does it mean for a statement about a pattern to be true or false?

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A statement about a pattern is true if it accurately describes the rule governing the pattern; it is false if it misrepresents the rule.