Respuesta :
Given:
The geometric sequence is [tex]\dfrac{2}{9},\dfrac{2}{3},2,6,...[/tex]
To find:
The explicit formula for the given geometric sequence.
Solution:
We have, a geometric sequence
[tex]\dfrac{2}{9},\dfrac{2}{3},2,6,...[/tex]
Here,
First term : [tex]a=\dfrac{2}{9}[/tex]
Common ratio : [tex]r=\dfrac{\dfrac{2}{3}}{\dfrac{2}{9}}[/tex]
[tex]r=\dfrac{2}{3}\times \dfrac{9}{2}[/tex]
[tex]r=3[/tex]
The explicit formula of a geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
where, a is first term and r is common ratio.
Putting [tex]a=\dfrac{2}{9}[/tex] and r=3, we get
[tex]a_n=\dfrac{2}{9}(3)^{n-1}[/tex]
Therefore, the correct option is c.
Answer:
Option 3 just did the test
Step-by-step explanation:
