eliannapcasas04
eliannapcasas04 eliannapcasas04
  • 04-09-2019
  • Mathematics
contestada

find the common ratio and the explicit formula

-3, 9, -27, 81,​

Respuesta :

jimrgrant1 jimrgrant1
  • 04-09-2019

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

[tex]a_{n}\\[/tex] = a[tex](r)^{n-1}[/tex]

where re a is the first term and r the common ratio

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio

and a = - 3, thus

[te x]a_{n}[/tex] = - 3[tex](-3)^{n-1}[/tex] ← explicit formula

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