Write an equation that models the sequence - 2, - 6, - 18, - 54, ... A) y = - 2x B) y = - 2x2 C) y = - 3x D) y = - 2*3x - 1

a (n) = - 2 * (3) ^ (n-1)

Step-by-step explanation:

The sequence - 2, - 6, - 18, - 54, ... is a geometric one, since each new term is 3 times the previous term. In other words, 3 is the common ratio.

The general formula for a geometric sequence is

a (n) = a (1) * (r) ^ (n - 1), where r is the common ratio and a (1) is the first term.

Here,

a (n) = - 2 * (3) ^ (n-1)