A1 (4.19) Arithmetic Sequence

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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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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.

Front

Is the sequence 3, 15, 75 an arithmetic sequence?

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No, it is not an arithmetic sequence because the differences between consecutive terms are not constant.

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Identify the sequence that is NOT arithmetic: 25, 13, 1, –11, –23; 9, 15, 21, 27, 33; –12, –4, 4, 12, 20, 28; –4, 5, 18, 35, 56, 81.

Back

The sequence –4, 5, 18, 35, 56, 81 is NOT an arithmetic sequence.

Front

What is the formula for the nth term of the sequence 12, 20, 28?

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What is the formula for the nth term of the sequence -4, -9, -14?

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

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Front

What is the common difference in the sequence 9, 15, 21, 27?

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The common difference is 6.

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If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

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