Answer:
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] ⁿ
2. 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 = -1/2
For n = 2, (-1/2)² = -1/2 * -1/2 = 1/4
For n = 3, (-1/2)³ = -1/2 * -1/2 * -1/2 = -1/8
For n = 4, (-1/2)⁴ = -1/2 * -1/2 * -1/2 * -1/2 = 1/16
The correct answer is A. 1 -1/2 + 1/4 - 1/8 + 1/16
