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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What is the common difference in an arithmetic sequence?

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The common difference is the fixed amount added to each term to get the next term in the sequence.

Front

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

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The 4th term is 5 + 3(2) = 11.

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

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Front

What is the 10th term of the sequence 3, 7, 11, ...?

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The 10th term is 3 + 9(4) = 39.

Front

In the sequence 2, 5, 8, 11, what is the common difference?

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The common difference is 3.

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If the common difference of an arithmetic sequence is negative, what does that indicate about the sequence?

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It indicates that the sequence is decreasing.

Front

What is the formula to find the sum of the first n terms of an arithmetic sequence?

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Front

In the sequence 10, 7, 4, 1, what is the common difference?

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The common difference is -3.

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