Find the general term, an, of the given geometric sequence.
-$49,7,1 , \ldots$
A) $a _ { n } = 7 ^ { n }$
B) $a _ { n } = 7 ( n - 1 )$
C) $a _ { n } = 7 ^ { n - 1 }$
D) $a _ { n } = 7 ^ { 3 - n }$

Question

Quizplus · Accepted Answer

The common ratio of the sequence is $ \frac{7}{49} = \frac{1}{7} $, and the first term is 49, which can be written as $7^2$. Thus, the nth term is $7^2 \cdot (\frac{1}{7})^{n-1} = 7^{3-n}$.

Find the General Term, An, of the Given Geometric Sequence 49,7,1,…49,7,1 , \ldots49,7,1,…

Find the General Term, An, of the Given Geometric Sequence $49,7,1 , \ldots$