21fechshyrf
21fechshyrf 21fechshyrf
  • 04-03-2020
  • Mathematics
contestada

find the recursive formula.
-28, -35, -42, -49, ...​

Respuesta :

jimrgrant1 jimrgrant1
  • 04-03-2020

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 7

Step-by-step explanation:

Note the common difference d between consecutive terms in the sequence, that is

d = - 35 - (- 28) = - 42 - (- 35) = - 49 - (- 42) = - 7

Thus to obtain a term in the sequence subtract 7 from the previous term

[tex]a_{n+1[/tex] = [tex]a_{n}[/tex] - 7 with a₁ = - 28

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