Answer:
d
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 3 and r = 12 ÷ 3 = 4 , thus
[tex]S_{8}[/tex] = [tex]\frac{3(4^{8}-1) }{4-1}[/tex]
= [tex]\frac{3(65536-1)}{3}[/tex] = 65536 - 1 = 65535 → d
