Question

What is the explicit formula for this geometric sequence?

Answer 1

Answer:

(-6)×3ⁿ⁻¹

Step-by-step explanation:

We notice that in this sequence (an) we multiply by 3 each time to get the next term

e.g :  (-6)×3 = -18

then

the commonn ratio q = 3

the first term a1 = -6

the explicit formula :

an = a1×qⁿ⁻¹ = (-6)×3ⁿ⁻¹