What is the sum of the first seven terms of the geometric series? 3 + 12 + 48 + 192 + ...

a. 4,372

b. 12,288

c. 16,383

d. 65,535

We know that:

a = 3

r = 4

n = 7

Now we can use this Formula to figure out the sum of the first seven terms in this Geometric Series:

Sn = a (r^n - 1) / r - 1

S (7) = (3) ((4) ^ (7) - 1) / (4) - 1

S (7) = 16383

Therefore, C. 16,383 is the correct answer.