Find the nth term of the geometric sequence.
-$2 , - 6,18 , \ldots ; \mathrm { n } = 9$
A) 13,122
B) 6561
C) $- 39,366$
D) 118,098

Name: Find the nth term of the geometric sequence. -$2 , - 6,18 , \ldots ; \mathrm { n } = 9$ A) 13,122 B) 6561 C) $- 39,366$ D) 118,098
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Question

Quizplus · Accepted Answer

The common ratio is -3. So, the nth term is $2 \times (-3)^{n-1}$. For n = 9, the nth term is $2 \times (-3)^{9-1} = 2 \times (-3)^8 = 13,122$.

Find the Nth Term of the Geometric Sequence 2,−6,18,…;n=92 , - 6,18 , \ldots ; \mathrm { n } = 92,−6,18,…;n=9

Find the Nth Term of the Geometric Sequence $2 , - 6,18 , \ldots ; \mathrm { n } = 9$