Which of the following is the correct expanded form for the series below?

-1 - 2 - 4 - 8 - 16

1 - 2 + 4 - 8 + 16

-2 - 4 - 8 - 16

-2 + 4 - 8 + 16

The correct answer is A. 1 - 1/2 + 1/4 - 1/8 + 1/16

Step-by-step explanation:

1. Let's review the information provided to us for solving the question:Series ∑⁴n = 0 [ - 1/2] ⁿ2. Let's resolve the series:For n = 0, (-1/2) ⁰ = 1 (Any number raised to the power of zero, except zero, equals always to one) For n = 1, (-1/2) ¹ = - 1/2For n = 2, (-1/2) ² = - 1/2 * - 1/2 = 1/4For n = 3, (-1/2) ³ = - 1/2 * - 1/2 * - 1/2 = - 1/8For n = 4, (-1/2) ⁴ = - 1/2 * - 1/2 * - 1/2 * - 1/2 = 1/16The correct answer is A. 1 - 1/2 + 1/4 - 1/8 + 1/16

A. (-1 - 2 - 4 - 8 - 16)

Step-by-step explanation

-1 - 2 - 4 - 8 - 16

-31

1 - 2 + 4 - 8 + 16

11

-2 - 4 - 8 - 16

-30

-2 + 4 - 8 + 16

10