jwvp4fdfq9 jwvp4fdfq9
  • 18-12-2020
  • Mathematics
contestada

Write a recursive formula for the following arithmetic sequence.

-6, -9, -12, -15, ...

Respuesta :

jimrgrant1 jimrgrant1
  • 18-12-2020

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

Step-by-step explanation:

The recursive formula lets us find a term in the sequence by adding the common difference d to the previous term.

Here d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = - 6

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