9514 1404 393
Answer:
an = 5 +3(n -1)
Explanation:
The n-th term of an arithmetic sequence is ...
an = a1 +d(n -1)
Here, you have first term a1=5 and common difference d=8-5=3, so the n-th term is ...
an = 5 +3(n -1)
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If you like, you can simplify this to ...
an = 5 +3n -3
an = 3n +2