Respuesta :

Answer:

[tex]a_{n}[/tex] = 14 - 6n

Step-by-step explanation:

Note there is a common difference d between consecutive terms

2 - 8 = - 4 - 2 = - 10 - (- 4) = - 16 - (- 10) = - 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 6, thus

[tex]a_{n}[/tex] = 8 - 6(n - 1) = 8 - 6n + 6 = 14 - 6n

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