What is the eighth term of the geometric sequence 3, 12, 48, 192, ... ?

A. 8,748

B. 16,384

C. 49,152

D. 56,256

E. 196,608

The eight term of the geometric sequence 3, 12, 48, 192 is C. 49, 152.

You just multiply every number by 4.

The geaometric sequence is a sequence with first term (a) = 3, common ratio (r) = 12/3 = 4

nth term = ar^ (n-1)

8th term = 3 (4) ^ (8 - 1) = 3 (4) ^7 = 3 (16,384) = 49,152