Determine the first five terms of the geometric sequence.
-a1 = 3, r = 4
A)12, 48, 192, 768, 3072
B)3, 7, 11, 15, 19
C)3, 12, 48, 192, 768
D)4, 12, 36, 108, 324

Question

Quizplus · Accepted Answer

The formula for a geometric sequence is: 
an = a1 * r^(n-1)
Substituting a1 = 3 and r = 4, we get:
a2 = 3 * 4^(2-1) = 12
a3 = 3 * 4^(3-1) = 48
a4 = 3 * 4^(4-1) = 192
a5 = 3 * 4^(5-1) = 768
Therefore, the first five terms of the sequence are 3, 12, 48, 192, 768. These match choice C. The formula for finding the nth term of a geometric sequence is an = a1 * r^(n-1). 
Plugging in the values given, we can find the first five terms:
a1 = 3
r = 4
a2 = 3 * 4^(2-1) = 12
a3 = 3 * 4^(3-1) = 48
a4 = 3 * 4^(4-1) = 192
a5 = 3 * 4^(5-1) = 768
Therefore, the first five terms of this geometric sequence are 3, 12, 48, 192, 768, which matches choice C.

Determine the First Five Terms of the Geometric Sequence