which formula can be used to find the nth term of a geometric sequence where the first term is 8 and the…

which formula can be used to find the nth term of a geometric sequence where the first term is 8 and the common ratio is -3?\n$a_n = 8cdot(-3)^{n - 1}$\n$a_n=-3cdot(8)^{n - 1}$\n$a_n=(8cdot(-3))^{n - 1}$\n$a_n = 8cdot(-3)^n$

which formula can be used to find the nth term of a geometric sequence where the first term is 8 and the common ratio is -3?\n$a_n = 8cdot(-3)^{n - 1}$\n$a_n=-3cdot(8)^{n - 1}$\n$a_n=(8cdot(-3))^{n - 1}$\n$a_n = 8cdot(-3)^n$

Answer

Explanation:

Step1: Recuerda la fórmula general

La fórmula para el $n$-ésimo término de una secuencia geométrica es $a_{n}=a_{1}r^{n - 1}$, donde $a_{1}$ es el primer término y $r$ es la razón común.

Step2: Sustituye los valores dados

Dado que $a_{1}=8$ y $r=-3$, sustituyendo en la fórmula obtenemos $a_{n}=8\times(-3)^{n - 1}$.

Answer:

A. $a_{n}=8\times(-3)^{n - 1}$