What is the 17th term in the arithmetic sequence described by this explicit formula?an = 77 + (n – 1)(–5)A.–3B.162C.157D.–8
Question
What is the 17th term in the arithmetic sequence described by this explicit formula?an = 77 + (n – 1)(–5)A.–3B.162C.157D.–8
Solution
To find the 17th term in the arithmetic sequence described by the explicit formula an = 77 + (n – 1)(–5), we substitute n = 17 into the formula:
an = 77 + (17 – 1)(–5) an = 77 + (16)(–5) an = 77 - 80 an = -3
So, the 17th term of the sequence is -3. The answer is A. -3.
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