Write a formula for the general term (the nth term) of the geometric sequence.
-$0.00009,0.0009,0.009,0.09 , \ldots$
A) $\mathrm { a } _ { \mathrm { n } } = 0.00009 ( 10 ) ^ { \mathrm { n } - 1 }$
B) $\mathrm { a } _ { \mathrm { n } } = 9 ( 0.1 ) ^ { \mathrm { n } }$
C) $a _ { n } = 9 ( 10 ) ^ { n }$
D) $\mathrm { a } _ { \mathrm { n } } = 0.0009 ( 10 ) ^ { \mathrm { n } - 1 }$

Question

Quizplus · Accepted Answer

The sequence is a geometric sequence where each term is 10 times the previous term, starting from 0.00009. The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{(n-1)}$, where $a_1$ is the first term and $r$ is the common ratio. Here, $a_1 = 0.00009$ and $r = 10$, so the formula is $a_n = 0.00009 \cdot 10^{(n-1)}$.

Write a Formula for the General Term (The Nth Term) 0.00009,0.0009,0.009,0.09,…0.00009,0.0009,0.009,0.09 , \ldots0.00009,0.0009,0.009,0.09,…

Write a Formula for the General Term (The Nth Term) $0.00009,0.0009,0.009,0.09 , \ldots$