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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What is the sum of the series?

4 + 12 + 36 + 108 + ... + 8748

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE What is the sum of the series 4 12 36 108 8748 class=

Respuesta :

Answer:   (C) 13,120

Step-by-step explanation:

Given the sequence {4, 12, 36, 108, ... , 8748} we know that the first term (a) is 4 and the ratio (r) is [tex]\dfrac{12}{4}=3[/tex]

Input the values above into the Sum formula:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{4(1-3^8)}{1-3}\\\\.\quad=\dfrac{4(1-6561)}{-2}\\\\.\quad=\dfrac{4(-6560)}{-2}\\\\.\quad=-2(-6560)\\\\.\quad=13,120[/tex]