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

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

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