What is the common ratio and explicit formula for -2,6,-18,54?

The explicit formula for a given geometric sequence is of the form

Step-by-step explanation:

Given sequence is

Let

To find the common ratio r:

Therefore r=-3

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is , where common ratio is r.

From given sequence we are having  r=-3

Therefore the explicit formula for a given geometric sequence is of the form