Answer:
an = 22 -5(n -1)
Explanation:
The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
Putting into this formula the values a1 = 22 and d = -5, the explicit formula for the n-th term is ...
an = 22 -5(n -1)
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If you like, you can simplify this to ...
an = 27 -5n