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Write a formula for an arithmetic sequence

Write an explicit or recursive formula for the nth term of an arithmetic sequence, given the value of several of its terms. Based on HS common core standard F-BF.A.2 and TEKS 12D.

Which expression describes the n-th term of the arithmetic sequence 5, 9, 13, 17, …?

5 + 4n 4 + 5n 4n + 1 5n + 1
Which expression is used to determine the n-th term of the arithmetic sequence 21, 16, 11, 6, …?

21 – 5n 26 – 5n 5n – 21 5n + 16
What is the explicit formula for the arithmetic sequence –12, –19, –26, –33, ...., if a1 = –12?

an = –5 – 7n an = –12 – 7n an = –19 + 7n an = –12 + 7n
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