Find the indicated term of the sequence.
-The fourth term of the geometric sequence whose first term is 6 and whose common ratio is 2
A) 48
B) 8
C) 96
D) 36

Question

Quizplus · Accepted Answer

The fourth term of a geometric sequence is found using the formula $a_n = a_1 \cdot r^{(n-1)}$, where $a_n$ is the nth term, $a_1$ is the first term, $r$ is the common ratio, and $n$ is the term number. Here, $a_1 = 6$, $r = 2$, and $n = 4$. Thus, the fourth term is $6 \cdot 2^{(4-1)} = 6 \cdot 2^3 = 6 \cdot 8 = 48$.

Find the Indicated Term of the Sequence