Answer: (C) 65,535
Step-by-step explanation:
Given the sequence {3, 12, 48, 192, ... , 49152} we know the following
- the first term (a₁) = 3
- the common ratio (r) = 4
- the number of terms (n) = 8
Input the information above into the Sum formula:
[tex]S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_8=\dfrac{3(1-4^8)}{1-4}\\\\.\quad =\dfrac{3(1-65,536)}{-3}\\\\.\quad =\dfrac{3(-65,535)}{-3}\\\\.\quad =65,535[/tex]
