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anastassius [24]
3 years ago
6

What is the recursive formula for this geometric sequence -2, -16, ...

Mathematics
2 answers:
FrozenT [24]3 years ago
6 0

Answer: The sequence is: An = -2*8^(n-1)

Step-by-step explanation:

 geometric sequence is of the form:

An = a*r^(n-1)

where can be any positive integer number.

here the first two numbers are -2 and -16, so we have that:

A1 = a*r^(0) = a = -2

now, we know that our sequence is of the form:

An = -2*r^(n-1)

now, for n= 2 we have that:

A2 = -2*r^(1) = -2*r = -16

r = -16/-2 = 8

now we have determinated our sequence:

An = -2*8^(n-1)

maksim [4K]3 years ago
5 0

\displaystylea_1=-2\\r=8\\a_n=8a_{n-1}\\\\\left \{ {{a_1=-2} \atop {a_n=8a_{n-1}}} \right.

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An experiment is to be conducted using environmentally safe peppermint oil to study the effectiveness of deterring mice from inf
shutvik [7]

Answer:

Option E is correct.

- Treatments: how the peppermint oil is dispersed

- Experimental unit: mice

- Response variable: number of mice in the dwellings

Step-by-step explanation:

The treatments in this type of statistical experiment refers to the part of the experiment that is tweaked, controlled or varied in the cases being studied. In this experiment, the method of essential oil dispersal is what is varied in the two experimental cases of this study.

Experimental Unit refers to the subject matters, who are participants in the experiment. They are the ones that the effect of the treatments is tested upon.

For this study, the experimental units are the mice subjected to either of the two methods of peppermint oil dispersal.

The response variable is how the experimental units (participants) respond to the treatments (experimental tweaks). Or how the tweaks manifest observable results in the participants of the study. For this study, the effect of the tweaks in the mice is shown in the number of mice that remain in each dwelling (where the two methods of peppermint oil dispersal have been implemented). Hence, the response variable is the number of mice in each dwelling.

Hope this Helps!!!

5 0
3 years ago
1/4 pound of green grapes and 2/3 pound of red grapes She ate 1/2 pound of the grapes . What is the amount of grapes Natasha has
JulijaS [17]

Answer:

5/12 left

Step-by-step explanation:

1- you need to take 1/4 and 2/3 and find a common denominator, to find the exact amount of pounds.

2- Once you have 3/12 and 8/12, add them to get 11/12.

3-Now you know you don't have a full pound. Then subtract 1/2 from 11/12 ->

11/12 - 6/12 = 5/12

3 0
3 years ago
This recipe calls for 12 cinnamon rolls but I need 30 what number do I multiply
Paha777 [63]

Answer:

12 x 2.5 = 30

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
On a coordinate grid, AB has an end point B at (24, 16). The midpoint of AB is P(4, -3). What is the y-coordinate of Point A?
inysia [295]

The y-coordinate of point A is -22

Step-by-step explanation:

Given

B = (24,16)

P = (4,-3)

The formula for mid-point of AB will be given by:

P = (\frac{x_A+x_B}{2} , \frac{y_A+y_B}{2})

As we already know the y-coordinate of midpoint

We can put the formula's y coordinate equal to the given value

\frac{y_A+y_B}{2} = -3\\\frac{y_A + 16}{2 } = -3\\y_A+16 = -3 * 2\\y_A +16 = -6\\y_A = -6-16\\y_A = -22

Hence,

The y-coordinate of point A is -22

Keywords: Mid-point, coordinate geometry

Learn more about coordinate geometry at:

  • brainly.com/question/5565320
  • brainly.com/question/5720422

#LearnwithBrainly

7 0
2 years ago
Kate paid $27 for a dress that was on sale for 10% off. What was the original price of this dress?
Luba_88 [7]
The best way to go about this questions is to write out a formula in which x represents the original price of the dress: x*0.90=27. To see where the 0.90 came from, if Kate's dress was 10% off, she must have paid 90% of the original price (100%-10%=90%). Then, to convert a percentage to a decimal, move the decimal point twice to the left so 90% becomes 0.90. Then, our formula essentially means that 90% of some number (x) is equal to 27. To solve for x, divide both sides of the formula by 0.90 to get x=$30 which is the final answer.

I hope this helps.
8 0
2 years ago
Read 2 more answers
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