Answer:
[tex] a_{n} = (6){3}^{n - 1} [/tex]
Step-by-step explanation:
6, 18, 54
First, recognize that this is a geometric sequence. To find the common ratio, divide the f
second term by the first term.
18/6 = 3
Check this with the second and third term.
54/18 = 3
Your common ratio is 3.
An explicit formula for a geometric equation is:
[tex] a_{n} = a_{1} {r}^{n - 1} [/tex]
We know the first term is 6 and the common ratio is 3. Plug in these values.
[tex] a_{n} = (6) {3}^{n - 1} [/tex]
This is your formula.
Hope this helps!
