alexandramateotorres alexandramateotorres
  • 04-06-2021
  • Mathematics
contestada

Write an equation for the nth term of the arithmetic sequence. -6,-9,-12,-15

Respuesta :

jimrgrant1 jimrgrant1
  • 04-06-2021

Answer:

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

Step-by-step explanation:

The nth 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 = - 6 and d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , then

[tex]a_{n}[/tex] = - 6 - 3(n - 1) = - 6 - 3n + 3 = - 3n - 3

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