MAFS.5.OA.2.3

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What is a sequence in mathematics?

Back

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

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How do you find the nth term in a sequence?

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To find the nth term in a sequence, identify the pattern or rule that defines the sequence and apply it to determine the value at the nth position.

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What is the difference between x-coordinate and y-coordinate in an ordered pair?

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The x-coordinate represents the horizontal position, while the y-coordinate represents the vertical position in a Cartesian coordinate system.

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What is a numeric pattern?

Back

A numeric pattern is a sequence of numbers that follows a specific rule or formula, often involving addition, subtraction, multiplication, or division.

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How can you identify a pattern in a sequence of numbers?

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To identify a pattern, look for consistent differences or ratios between consecutive terms, or apply mathematical operations to see if a rule emerges.

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What does it mean for one pattern to be a multiple of another?

Back

It means that each term in one pattern can be obtained by multiplying the corresponding term in the other pattern by a constant factor.

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What is the formula for finding the sum of the first n terms of an arithmetic sequence?

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

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What is the significance of the first term in a sequence?

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The first term is the starting point of the sequence and is essential for determining subsequent terms based on the established pattern.

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How do you determine the rule for a numeric pattern?

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To determine the rule, analyze the differences or ratios between terms and look for a consistent operation that can be applied to generate the next term.

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What is an ordered pair?

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An ordered pair is a pair of numbers used to represent a point in a two-dimensional space, typically written as (x, y).