Respuesta :

Answer:

-50

Step-by-step explanation:

The numbers are separated by three

Answer:

[tex]a_{n}[/tex] = 3n - 87

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 81 - (- 84) = - 78 - (- 81) = - 75 - (- 78) = - 72 - (- 75) = 3

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 84 and d = 3 , then

[tex]a_{n}[/tex] = - 84 + 3(n - 1) = - 84 + 3n - 3 = 3n - 87

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