Respuesta :

Answer: an = -4(-2)^n-1

Step-by-step explanation:

For the sum of the given geometric series a₁ = -4 and r = -2.

What is Geometric Series?

  • It is the sum of geometric sequence of finite or infinite sequence.
  • The ratio between two adjacent number for any sequence is constant.

Given: Geometric Series

−4, 8, −16, 32,…

First term is:

⇒ a₁ = -4

For the geometric series, the ratio is constant.

Ratio is given by:

⇒ r = 8/-4 = -16/8 = 32/-16

⇒ r = -2

Therefore, for the given geometric series a₁ = -4 and r = -2.

Learn more about the Geometric Series here: https://brainly.com/question/14565307

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