Find the sum of the indicated terms of the geometric sequence. 3, 12, 48 ... (to 6 terms)
A)s = 4,095
B)s = 4,098
C)s = 4,101
D)s = 4,092
E)none of the above

Question

Quizplus · Accepted Answer

The sequence is geometric with the first term a = 3 and common ratio r = 4. The sum of the first 6 terms is given by the formula S_n = a(1-r^n)/(1-r). Substituting the values, S_6 = 3(1-4^6)/(1-4) = 3(1-4096)/(-3) = 3(-4095)/(-3) = 4095.

Find the Sum of the Indicated Terms of the Geometric