Represent the geometric series using the explicit formula. 2, −8, 32, −128, … f(n) = 2 ⋅ (−4)(n−1) f(n) = 2 ⋅ (4)(n−1) f(n) = f(n − 1) ⋅ (−4) f(n) = f(n − 1) ⋅ (4)

Step-by-step explanation:

The explicit formula for geometric series is given by :_

, where r= common ratio.

a= first term.

The given geometric series : 2, −8, 32, −128, …

First term = 2

Common ratio =

Substitute the value of a and r in (1) , we get

Hence, the representation of the given geometric series using the explicit formula :

1/800 is the right answer

a is the right answer