Question

Determine whether the following sequence is geometric. If​ so, find the common ratio.

2​, 6​, 18​, 54​, ...
A.
The given sequence is geometric. The common ratio is requals=___. ​(Simplify your​ answer.)
B.
The given sequence is not geometric.

Answer 1

The above sequence is geometric since there is a common ration between each term. In this case, multiplying the previous term in the sequence by 3 gives the next term. We can write this out as a "formula" as the following:


`a_(n) = a_(1) * r^(n-1)`