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

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

it is 570

step-by-step explanation: