RiteshO174933 RiteshO174933
  • 27-10-2022
  • Mathematics
contestada

what is the closed form definition for 4, -12, 36, -108?

what is the closed form definition for 4 12 36 108 class=

Respuesta :

GrantY411719 GrantY411719
  • 27-10-2022

we see that

[tex]\begin{gathered} \frac{-12}{4}=-3 \\ \frac{36}{-12}=-3 \\ \frac{-108}{36}=-3 \end{gathered}[/tex]

Then, we have a geometric sequence, and each time we need to muliply by -3 starting from 4, so the closed-form is

[tex]t(n)=4(-3)^{n-1}[/tex]

so, the answer is the second one.

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