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andrey2020 [161]
3 years ago
6

Write an explicit formula that represents the geometric sequence -2,8,-32,128

Mathematics
1 answer:
jonny [76]3 years ago
5 0

Hello from MrBillDoesMath!

Answer:

a(n) =  (-1)^(n+1)   *   ( 2 ^ (2n+1) )                    where n = 0, 1, 2, etc.

Discussion:

-2 =   (-1) * 2^1

8 =    (+1) 2^3

-32 = (-1) * 2^5

128 = (+1)* 2^7


In general,

a(n) =  (-1)^(n+1)  *   (2 ^ (2n+1))                    where n = 0, 1, 2, etc.


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


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Solve the following system of inequalities graphically on the set of axes below. State
tankabanditka [31]

Answer:

The answer is definitely C

Step-by-step explanation:

Following the system of inequalities will graph this solution best on the graph, it is the inequality represented in the graph.

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2 years ago
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Fiesta28 [93]
Cutting her time by 50% means reducing her time by half. Half of 45 seconds is 22.5 seconds. Therefore, to make the team, she must run a lap in 22.5 seconds.
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3 years ago
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How would the mean change if the number 52 replaced the number 12 in the set?
m_a_m_a [10]

Answer:

increase

Step-by-step explanation:

First, we need to find the mean of the given data set without any change.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264

264 ÷ 8 = <u>33</u>

Now that we have the mean, we can find the mean of the data set with the change of 52.

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304 ÷ 8 = <u>38</u>

<u />

From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.

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2 years ago
Which of these equations is for a line perpendicular to y-3=5(x-2)?
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Answer:

C

Step-by-step explanation:

y-3=5(x-2)  (rearrange this to be in slope- intercept from) (add 3 to both sides)

y = 5(x-2) + 3   (distribute parentheses)

y = x(5) - 2(5) + 3

y = 5x -10 + 3

y = 5x - 7

recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)

hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5

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3 years ago
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Answer:

Step-by-step explanation:

"of" means "times"

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3 years ago
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