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Answer:
[tex]a_{n}[/tex] = 7n - 2
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 12 - 5 = 7, thus
[tex]a_{n}[/tex] = 5 + 7(n - 1) = 5 + 7n - 7 = 7n - 2