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The given expression is

[tex] (-1/2)^n [/tex]

When n=0, we will get

[tex] (-1/2)^0 =1 [/tex]

When n =1, we will get

[tex] (-1/2)^1 = -1/2
[/tex]

When n=2, we will get

[tex] (-1/2)^2 = 1/4 [/tex]

When n=3, we will get

[tex] (-1/2)^3 =-1/8 [/tex]

When n=4, we will get

[tex] (-1/2)^4 = 1/16 [/tex]

So the correct option is First option .

The expansion of the expression will be 1 - (1/2) + (1/4) - (1/8) + (1/16). Then the correct option is A.

What is the expansion of the series?

When a variable is written by a sum of degrees of one or both of its parameters or another variable, it is called a series expansion.

The expression is given as

[tex]\rm \Sigma _{n = 0}^ 4 \left (- \dfrac{1}{2} \right )^n[/tex]

Then the expansion of the series will be

⇒ (1/2)⁰ - (1/2)¹ + (1/2)² - (1/2)³ + (1/2)⁴

⇒ 1 - (1/2) + (1/4) - (1/8) + (1/16)

Thus, the correct option is A.

More about the expansion of the series link is given below.

https://brainly.com/question/16774911

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