Arithmetic Sequences

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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 the common difference in an arithmetic sequence?

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The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

Front

Find the next two terms of the arithmetic sequence: 5, 10, 15.

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20 and 25.

Tags

CCSS.HSF.BF.A.2

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What is the formula for the nth term of an arithmetic sequence?

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The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

Calculate the 10th term of the arithmetic sequence: 2, 4, 6, 8,...

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The 10th term is 20.

Tags

CCSS.HSF.BF.A.2

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Identify the common difference in the sequence: 7, 10, 13, 16,...

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The common difference is 3.

Tags

CCSS.HSF.BF.A.2

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Which of the following is an arithmetic sequence? 1, 3, 5, 7,...

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Yes, it is an arithmetic sequence with a common difference of 2.

Tags

CCSS.HSF.BF.A.2

Front

Determine if the sequence 4, 8, 12, 16 is arithmetic.

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Yes, it is arithmetic with a common difference of 4.

Tags

CCSS.HSF.BF.A.2

Front

What is the 25th term of the arithmetic sequence: 3, 6, 9, 12,...

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The 25th term is 75.

Tags

CCSS.HSF.BF.A.2

Front

Which sequence is NOT an arithmetic sequence? 2, 4, 8, 16,...

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This is not an arithmetic sequence; it is a geometric sequence.

Tags

CCSS.HSF.BF.A.2