Respuesta :

Answer:

[tex]a_{n}[/tex] = 8n - 19

Step-by-step explanation:

The explicit formula for 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 = - 11 and d = - 3 - (- 11) = - 3 + 11 = 8, thus

[tex]a_{n}[/tex] = - 11 + 8(n - 1) = - 11 + 8n - 8 = 8n - 19

Answer:

[tex]a_{n} = 8n-19[/tex]

Step-by-step explanation:

Explicit formula is :

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

Where [tex]a_{1}[/tex] is the first element i.e. -11

and d is the difference between the elements i.e. 8

[tex]a_{n} = -11 + (8)(n-1)[/tex]

[tex]a_{n} = -11 + 8 (n-1)[/tex]

[tex]a_{n} = -11+8n-8\\[/tex]

[tex]a_{n} = 8n-19[/tex]