ezequielgarcia ezequielgarcia
  • 15-08-2020
  • Mathematics
contestada

Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....

Respuesta :

jimrgrant1 jimrgrant1
  • 15-08-2020

Answer:

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex]

Step-by-step explanation:

A geometric recursive formula has the form

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

where r is the common ratio

Here r = - 14 ÷ 7 = - 2, thus

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex] with a₁ = 7

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