Intro to Arithmetic Sequences

Front

What is an arithmetic sequence?

Back

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

Front

What is the common difference in an arithmetic sequence?

Back

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

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CCSS.HSF.BF.A.2

Front

Provide an example of an arithmetic sequence.

Back

An example of an arithmetic sequence is: 2, 5, 8, 11, 14 (common difference = 3).

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CCSS.HSF.BF.A.2

Front

How do you find the common difference in a sequence?

Back

To find the common difference, subtract any term from the term that follows it (e.g., d = a2 - a1).

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CCSS.HSF.BF.A.2

Front

True or False: The common difference can be negative in an arithmetic sequence.

Back

True.

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CCSS.HSF.BF.A.2

Front

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

Back

The nth term (an) can be calculated using the formula: an = a1 + (n-1)d, where a1 is the first term and d is the common difference.

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CCSS.HSF.BF.A.2

Front

If the first term of an arithmetic sequence is 4 and the common difference is 2, what is the 5th term?

Back

The 5th term is 4 + (5-1)2 = 4 + 8 = 12.

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CCSS.HSF.BF.A.2

Front

True or False: An arithmetic sequence must always have a positive common difference.

Back

False.

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CCSS.HSF.BF.A.2

Front

Is the sequence 10, 7, 4, 1 an arithmetic sequence?

Back

Yes, the common difference is -3.

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CCSS.HSF.BF.A.2

Front

What is the common difference of the sequence: 20, 15, 10, 5?

Back

The common difference is -5.

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CCSS.HSF.BF.A.2