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What is a pattern in mathematics?

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A pattern in mathematics is a sequence or arrangement that follows a specific rule or set of rules, allowing for predictions about future elements.

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CCSS.3.OA.D.9

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How can patterns be represented visually?

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Patterns can be represented visually through diagrams, tables, or graphs that illustrate the relationship between elements.

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CCSS.5.OA.B.3

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What is a sequence?

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A sequence is an ordered list of numbers or objects that follow a specific rule or pattern.

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CCSS.HSF.BF.A.2

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What is the difference between a finite and an infinite sequence?

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A finite sequence has a limited number of terms, while an infinite sequence continues indefinitely.

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CCSS.HSF.BF.A.2

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How do you find the next term in a numerical sequence?

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To find the next term in a numerical sequence, identify the pattern or rule governing the sequence and apply it to the last known term.

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CCSS.HSF.BF.A.2

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What is a table in mathematics?

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A table is a systematic arrangement of data in rows and columns, often used to organize information for easier analysis.

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CCSS.5.OA.B.3

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How can sequences be used to solve real-world problems?

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Sequences can model real-world situations, such as predicting future events, calculating totals, or analyzing trends.

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CCSS.HSF.BF.A.2

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What is an arithmetic sequence?

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An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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CCSS.HSF.BF.A.2

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What is a geometric sequence?

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A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number.

Tags

CCSS.HSF.BF.A.2

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How do you calculate the sum of an arithmetic series?

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The sum of an arithmetic series can be calculated using the formula: S_n = n/2 * (a + l), where n is the number of terms, a is the first term, and l is the last term.