Find the indicated $n$th term of the geometric sequence.
4th term: $4 , - 12,36 , \ldots$
A) $- 5$
B) $- 108$
C) 324
D) $- 192$
E) $- 768$

Name: Find the indicated $n$th term of the geometric sequence. 4th term: $4 , - 12,36 , \ldots$ A) $- 5$ B) $- 108$ C) 324 D) $- 192$ E) $- 768$
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Question

Quizplus · Accepted Answer

The sequence is geometric with a common ratio of $-3$ (since $-12/4 = -3$). The $n$th term of a geometric sequence is given by $a_n = a_1 \cdot r^{n-1}$. For the 4th term: $a_4 = 4 \cdot (-3)^{3} = 4 \cdot (-27) = -108$.

Find the Indicated nnn Th Term of the Geometric Sequence 4,−12,36,…4 , - 12,36 , \ldots4,−12,36,…

Find the Indicated $n$ Th Term of the Geometric Sequence $4 , - 12,36 , \ldots$