Question

Write an explicit formula for An, the nth term of the sequence 6, 18, 54, ....

Answer 1

54( 1/3)n-1

Explanation:

Answer 2

`a_(n) = (6){3}^(n - 1)`

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:

`a_(n) = a_(1) {r}^(n - 1)`

We know the first term is 6 and the common ratio is 3. Plug in these values.

`a_(n) = (6) {3}^(n - 1)`

This is your formula.

Hope this helps!