Write an explicit function in terms of n that describes the following sequence:
−2, 4, −8, 16, −32, 64

Answers

Answer 1

Answer:

aₙ = -2(2)^(n-1)

Step-by-step explanation:


Related Questions

Rewrite sin 225 degrees in terms of its reference angle. You do not need to evaluate sin 225.

Answers

Answer:

225°: 45° (π / 4)

For the arithmetic sequence below, find the common difference and the next 3 terms. 12, 16, 20, 24, 28,

Answers

Answer:

Step-by-step explanation:

6th term.

a

6

=

32

7th term.

a

7

=

36

The common difference is 4. Arithmetic sequences are adding one number on every number and geometry is multiplying by one number.

An administrator at a large university is curious how students rate the quality of the athletic facilities at the university. They decide to survey a random sample of
80
8080 students who participate in the university's intramural football league. The survey shows that
54
%
54%54, percent of those asked said they were "very satisfied" with the athletic facilities.

Answers

Answer:

All students at the university who participate in the intramural football league

Step-by-step explanation:

just did it

PLEASE HELP I NEED THE ANSWER ASAP!!

Answers

Answer:

A :)

Step-by-step explanation:

can sombody help me fast ? !

Answers

Answer:

i think D

Step-by-step explanation:

what is the slope to this equation ?

Answers

Answer:

2/1 or 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

If n||m, find m<1 + m<2.

Answers

Answer:

140

Step-by-step explanation:

m1=60→C

A→ 20

180-(20+60)=180-80=100

m3=100

m2+m3=180

m2=180-100=80

m1+m2=60+80=140

Can some one find the vertex for g(x)8x^2-14x+3 Using decimals if necessary

Answers

[tex]x_{v}[/tex]Answer:

The vertex of an up - down facing parabola of the formy = ax" + bx + c is xy =

The parabola params are:

a = 8, b = -14, c =3

[tex]x_{v}=b/2a[/tex]

[tex]x_{v}[/tex]=-(-14)/2·8

simplify

[tex]x_{v}[/tex]=-(-14)/2·8

[tex]x_{v} = 7/8[/tex]

Plug in [tex]x_{v}[/tex]=7/8to find the [tex]y_{v}[/tex] value

[tex]y_{v}[/tex]= -25/8

Therefore the parabola vertex is

(7/8 , -25/8)

If a < 0, then the vertex is a maximum value

If a > 0, then the vertex is a minimum value

a = 8

Minimum(7/8 , -25/8)

21 is less than or equal to -3(x-4) is less than 18

Answers

Answer:

-3 ≤ x <-2

Step-by-step explanation:

First, you should set up the equation to solve it, which is,

21 ≤ -3(x-4)<18

Then you should simplify the equation to,

21 ≤ -3x+12<18

Then subtract 12 from both sides.

9 ≤ -3x<6

Lastly, divide -3 from both sides.

-3 ≤ x<-2

3. What is the total surface area of a cylinder with a radius of 1 cm and a
height of 12 cm?

Answers

Answer:

A = 81.68 cm²

Step-by-step explanation:

Answer:

81.71

Step-by-step explanation:

2pi×r²+2pi×r×h

2x1²pi + 2x1x12xpi

2pi+24pi

26pi

81.71

amanda made $187 for 11 hours of work. At the same rate, how many hours would she have to work to make $306?

Answers

Answer:

11 equal $187 plus 7 more hours to get $306

Step-by-step explanation:

18 hours

Answer:

18 hours

Step-by-step explanation:

187 divided by 11 = 17

306 divided  17 = 18 hours

Need help with school

Answers

Answer:

∠A = 126°

Step-by-step explanation:

Supplementary angles are angles that add up to equal 180°

Given that ∠B = 54°, we can subtract 54° from 180°.

180° - 54° = 126°

∠A = 126°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A high school basketball coach is selecting his team. The minimum and maximum height requirements are as follows:

Point Guard: Small Forward: Center:

6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall

The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and the standard deviation of 4 inches.

Which statement is true?

A. About 16% of the boys are eligible to be a point guard on the team. B. About 2% of the boys are eligible to be a small forward on the team. C. About 48% of the boys are eligible to be a small forward on the team. D. About 34% of the boys are eligible to be a point guard on the team.

Answers

Answer:

B. About 2% of the boys are eligible to be a small forward on the team

Step-by-step explanation:

Recall : 1 feets = 12 inches

Point guard = 6’2" – 6’6" tall = 74 - 78 inches

Mean = 70 ; Standard deviation = 4

Z = (x - mean) / standard

P(x < 74) = (74 - 70) / 4 = 1

P(x < 78) = (78 - 70) / 4 = 2

0.97725 - 0.84134 = 0.13591

Small forward : 6'6" = 78 inches

P(x ≥ 78) = (78 - 70) / 4 = 2

P(z ≥ 2) = 0.02275 = 2.275% about 2%

Centre : 6'8" = 80

P(x ≥ 80) = (80 - 70) / 4 = 2.5

P(z ≥ 2.5) = 0.0062097 = 0.62%

About 2% of the boys are eligible to be a small forward on the team. Then the correct option is B.

What is a z-score?

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

A high school basketball coach is selecting his team.

The minimum and maximum height requirements are as follows:

Point Guard: Small Forward: Center:

6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall

The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and a standard deviation of 4 inches.

The value of the z-score will be

[tex]z = \dfrac{x - \mu }{\sigma}[/tex]

[tex]P(x < 74) = \dfrac{74-70}{4} = 1 \\\\P(x < 78) = \dfrac{78-70}{4} = 2[/tex]

0.97725 - 0.84134 = 0.13591

Small forward: 6'6" = 78 inches

[tex]P(x \geq 78) = \dfrac{78- 70 }{4} 2\\\\\\P(z \geq 2) = 0.02275 = 2.275 \%[/tex]

Centre: 6'8" = 80 inches

[tex]P(x \geq 80) = \dfrac{80- 70 }{4} 2\\\\\\P(z \geq 2.5) = 0.0062097= 0.62 \%[/tex]

More about the z-score link is given below.

https://brainly.com/question/13299273

What is the MEAN of this data set? (3, 6, 3)

Answers

Answer:

mean=sum of data/no of data

=12/3

=4

Step-by-step explanation:

therefore mean=4

Answer:

3+6+3 = 12

12/3 = 4

Step-by-step explanation:

Therefore the mean is 4

Find the measure of angle A.
А
64 + x
85 + x
55

Answers

Answer:

Your question is unclear

Step-by-step explanation:

what is the sum of the first 25 terms of an arithematic sequence if the sum of its 8th and 18th terms is 72?​

Answers

Answer:

900

Step-by-step explanation:

Alaina bought 2 cokes and 3 hot dogs for $5.25. Jonathan bought 1 coke and 5 hot dogs for $5.25. Write a system of equations that models the situation

Answers

Answer:2x+3y=5.25

          x+5y=5.25

Step-by-step explanation:

let x equal cokes and y equal hot dogs

Fill in the blank to complete this trig
ratio.
y
tan a =
a
Х
[?]
B
N
B
С
у
Z

Answers

Answer:

z/y

Step-by-step explanation:

which expressions are equivalent to -96/5

Answers

Answer:

irdk but papi u a rari

Step-by-step explanation:

Sharon needs 3 pounds of turkey for every 2 people
that are attending her dinner party.
How many people can she feed with 30 pounds of
turkey?

Answers

Answer:

20

Step-by-step explanation:

30 ÷1.5

each person eats 1.5 pounds

Determine if the lines are parallel, perpendicular, or neither.
y=-2x – 4
2x + y = 5

Answers

Answer:

parallel I think

Step-by-step explanation:

move the x to the left and divide by y to simplify. the new equation for the bottom will be y=-2x+5. For it to be parallel they have to have the same slope

i kindly ask you fir you help plz. Triangle ABC is located in the first quadrant with coordinates of:
A: (6,3) B: (4,5) C: (2,2)

The triangle is translated 3 units to the right.

Which quadrant(s) is it now in?


What are the new coordinates?
A’: B’: C’:

Answers

Answer:

quadrant 1.

Step-by-step explanation:

A:(9,3)

B:(7,5)

C:(5,2)

hope this helped. have a good day.

HELPP MEeee PLEASE I'll give u kizz

Answers

Answer:

Don't want any but here's your answer

Step-by-step explanation:

He spends $165 on 20 gallons

HELP PLEASE QUICK { Mark incorrectly solved the equation -2(x – 3) – 5 = 9. His steps are shown below:
( its the attached image )
Please Help Me Solve These Two Questions
1. Mark made two mistakes. Identify which line Mark made his first mistake in and explain to Mark what he did wrong.
2. Mark made two mistakes. Identify which line Mark made his second mistake in and explain to Mark what he did wrong.

Answers

Answer:

line one and 2

Step-by-step explanation:

the quetoin says it is x - 3 not 2x

If measure FG = 120° and measure EH = 94, what is measure angle EPH?
A) 94
B) 120°
C) 114
D) 107°

Answers

Answer:

∠EPH = 107°

Step-by-step explanation:

∠EPH is an angle formed by two intersecting chords.

arc FG and arc EH are the arcs ∠EPH intercepts.

The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.

Which means that ∠EPH = 1/2 ( arc FG + arc EH )

If arc FG = 120° and arc EH = 94°

Then ∠EPH = 1/2 ( 120 + 94 )

120 + 94 = 214

214 / 2 = 107

Hence, ∠EPH = 107°

The answer is d
Explanation

bestiesss helpsss plsss​

Answers

(6^2)^4

(12^3)^2

(36^2)^2

(3^2)^7

(9^3)^2

the he said haha :D lol

You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is​

Answers

Answer:  11/50

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries.  The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

11/50 = 0.22 = 22%The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.

Consider the function f (x) = StartLayout Enlarged left-brace first row negative StartFraction 4 x Over x minus 3 EndFraction, x less-than 5 second row negative 7 x + 25, x greater-than 5 EndLayout. Which type of discontinuity occurs at x = 5? mixed infinite endpoint removable

Answers

Answer:

Its removable

Step-by-step explanation:

yes

this is a removable discontinuity

Here we have the piecewise function:

[tex]f(x) = \frac{-4x}{x - 3}[/tex]     if x < 5

[tex]f(x) = -7x + 25[/tex]    if x > 5.

We want to see which type of discontinuity we have at x = 5.

Remember that:

If we have two asymptotes, then is an infinite discontinuity

if just one point is missing, then it is a removable discontinuity

If the value drastically changes after the discontinuity, then its a jump discontinuity

Mixed case is when two of these happen.

Because we have a piecewise function, we need to evaluate both parts in x = 5.

If both parts give the same value, then we will have a removable discontinuity

if the values are different, then we have a jump discontinuity.

first part:

f(5) = -4×5/(5 - 3) = -20/2 = -10

second part:

f(5) = -7×5  + 25 = -35 + 25 = -10

So we got the same value, which means that this is a removable discontinuity

in the image below you can see the graph of the piecewise function, and see that as x tends to 5, both sides of the function tend to the same value.

if you want to read more about this,, you can see:

https://brainly.com/question/17317969

Please help. Please please

Answers

Answer:

kjhdzkjnkjnZKjnvjkvnzjknjfgnkzjnfkjnJKZnfdkjgnKJnzdkjfbmnfgkns

Step-by-step explanation:

fmdbjdbjdbndndfnmmndmnd

Solve for the value of t.

please help

Answers

Answer:

8t-1=97(being vertically opposiyte angles)

8t=97-1

t=96/8

t=12

Step-by-step explanation:

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