Find the indicated term of the sequence.
-The sixth term of the geometric sequence $\frac { 1 } { 9 } , \frac { 5 } { 9 } , \frac { 25 } { 9 } , \ldots$
A) $\frac { 3125 } { 9 }$
B) $\frac { 10 } { 3 }$
C) $\frac { 25 } { 9 }$
D) $\frac { 15625 } { 9 }$

Question

Quizplus · Accepted Answer

The common ratio (r) of the sequence is $\frac{5}{9} / \frac{1}{9} = 5$. The nth term of a geometric sequence is given by $a_n = a_1 \cdot r^{(n-1)}$, where $a_1$ is the first term. Thus, the 6th term is $\frac{1}{9} \cdot 5^{(6-1)} = \frac{1}{9} \cdot 5^5 = \frac{3125}{9}$.

Find the Indicated Term of the Sequence 19,59,259,…\frac { 1 } { 9 } , \frac { 5 } { 9 } , \frac { 25 } { 9 } , \ldots91​,95​,925​,…

Find the Indicated Term of the Sequence $\frac { 1 } { 9 } , \frac { 5 } { 9 } , \frac { 25 } { 9 } , \ldots$