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HayabusaBrainly

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________

[tex] \: [/tex]

an = 8 + (n - 1) × 4

an = 8 + 4n - 4

an = 4n + 4

Answer:

[tex]a_{n}[/tex] = 4n + 4

Step-by-step explanation:

The nth term (explicit formula) 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 = 8 and d = a₂ - a₁ = 12 - 8 = 4 , then

[tex]a_{n}[/tex] = 8 +4(n - 1) = 8 + 4n - 4 = 4n + 4

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