22leehunj 22leehunj
  • 15-04-2021
  • Mathematics
contestada

What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 16-04-2021

Answer:

        aₙ = 3n - 11

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = -5 - (-8) = - 5 + 8 = 3

a₁ = -8

Therefore:

               [tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]

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