Write a rule for the n th term of the sequence for which az = 4 and r= 2.
=

Answers

Answer 1

Answer:

Step-by-step explanation:

The general form for a geometric sequence is:

a

n

=

a

1

r

n

1

With this, you can write a system of equations:

a

2

=

a

1

r

2

1

a

5

=

a

1

r

5

1

2

=

a

1

r

1

0.25

=

a

1

r

4

r

4

r

1

=

0.25

2

r

3

=

0.125

r

=

0.5

Now, find the first term.

a

2

=

a

1

0.5

1

2

=

a

1

0.5

a

1

=

4

Using the formula stated above, we get:

a

n

=

4

0.5

n

1


Related Questions

SOMEONE HELP ME PLZ
.

Answers

Top is 90 62 152 middle row is 184 16 200 bottom row is 274 78 352

You get 90 by doing 274-184=90
You get 152 by doing 90+62=152
You then get 200 by doing 352-152
Then you get 16 by doing 200-184
You then get 78 by doing 62+16

On the SAT exam, a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the exam in the time allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The mean amount of time taken by the students is 23.5 minutes with a standard deviation of 4.8 minutes. The counselor would like to know if the data provide convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes. What are the appropriate hypotheses?

H0: μ = 23.5 versus Ha: μ < 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 23.5 versus Ha: μ > 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 25 versus Ha: μ > 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam

Answers

Answer:

H0: μ = 23.5 versus Ha: μ < 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam

The hypothesis is H0: μ = 25 versus Ha: μ < 25, So option (C) is the correct answer.

What is mean and standard deviation?

Mean is the ratio of the sum of all the observations and the total number of observations in a data set. The standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance.

For the above suituation,

There are 20 math questions to be answered in 25 minutes.

After investigation with 35 students, the meantime needed for them is 23.5 and the standard deviation is 4.8.

From the above information, we can say that the hypothesis, H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam.

Hence we can conclude that the hypothesis (C) is the correct answer.

Learn more about mean and standard deviation here

https://brainly.com/question/475676

#SPJ2

3. Mrs. Garcia's class sold bottles of lemonade for $1.36 each and Mr. Runner's class sold protein bars for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school​

Answers

Answer:

324.6

Step-by-step explanation:

because Together, the classes sold 79 items and earned $118.17 for their school​

Help pls! Giving brainliest

Answers

Answer:

the 2nd one

Step-by-step explanation:

this is solid figure has six equal faces 12 edges and 8 vertices

A.rectangular prism
B.cube
C.cone
D.cylinder​

Answers

Answer:

cube because it has six equal facwes

HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1/10

hope this helps!!

links will get banned​

Answers

Answer:

22 cm long

eeeeeeeeeeeeeeeeeeeeeeeeeeee

If one of the 50 states is chosen at random, then a dice is rolled. Find the probability of getting a state that starts with the letter A and a number less than 3. Pls, help me this is due by tomorrow at 8 am!

Answers

Answer:  2/75

Note: 2/75 = 0.0267 = 2.67% approximately

========================================================

Explanation:

The states that start with "A" are:

AlabamaAlaskaArizonaArkansas

We have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.

When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.

We'll multiply the fractions to get our answer:

(2/25)*(1/3) = (2*1)/(25*3) = 2/75

Harper has $14 in her piggy bank. Her mom pays her $12 for chores. How much does Harper now have in the piggy bank?

Answers

Answer:

26

Step-by-step explanation:

14+12=26

1+1=2

4+2=6

Answer:

$26

Step-by-step explanation:

Here is the explanation for this problem.

Harper Starts off with 14 in her piggy bank, then gets payed for chores ($12)

14+12 =26

(Simplfying It down)

10 + 10 = 20

4 + 2 = 6

20 + 6 = 26

Her total amount of money is $26

(Hope this helps luv)

-TheAnimeCatUwU

Please help me hurry!! 8

Answers

Answer:

r = 7

Step-by-step explanation:

[tex]a =5\\\\a_{3}=245\\\\a_{n}=ar^{n-1}\\\\a_{3}= 5*r^{2} \\\\5*r^{2} = 245\\\\r^{2}=\frac{245}{5}\\\\r^{2}=49 = 7^{2}\\\\r = 7[/tex]

R=7

Explanation I just calculate it

15 points!!! Find the volumes of these three figures

Answers

Answer:

Its only 6 points...

Step-by-step explanation:

find the mean of the data set 2 9 7 4 6 1

Answers

Answer:

i think its six i haven't done this in a while tho

Step-by-step explanation:

sort them in order from least to greatest and find the middle... i think... that could be medium

Answer:

Step-by-step explanation:

The mean is the average so add them all up and divide the sum by the amount of number there are [tex]2+9+7+4+6+1=29[/tex] and then divide 29÷6 = 4.8333333333 (3 continued) or 29/6 (fraction) also if that is not the answer round it and it would be 4.8

What does That symbol mean

Answers

Answer:

That symbol is a square root.

Step-by-step explanation:

square root symbol, it means the opposite of squaring something. if i were to square 6 it would be 6x6=36 so it’s asking yxy=24

Simplify the expression by combining like terms: 6(4x) + 8(5y) - 21 + 63- 3(5x) - 12y + 18 - 7(3x)

Answers

the answer would be 28y+60-12x .. correct me if i’m wrong.

What is the opposite of
π​

Answers

The opposite of pi = diameter / circumference.

Answer:

diameter is your answer

You are buying decorations for a birthday party. Six rolls of crepe paper and 20 balloons cost $11.90. After you start decorating, you need more supplies. You buy 2 more rolls of crepe paper and 15 more balloons for $6.05.

Answers

Answer: $1.15

Step-by-step explanation:

The question is How much did each roll of crepe paper cost?

Let the cost of crepe paper be x

Let the cost of balloons be y.

Six rolls of crepe paper and 20 balloons cost $11.90. This will be:

6x + 20y = 11.90 ......... i

2 more rolls of crepe paper and 15 more balloons for $6.05. This will be:

2x + 15y = 6.05 ......... ii

6x + 20y = 11.90 ......... i

2x + 15y = 6.05 ......... ii

Multiply equation i by 15

Multiply equation ii by 20

90x + 300y = 178.50 ........ iii

40x + 300y = 121 ........ iv

Subtract iv from iii

50x = 57.50

x = 57.50/50

x = 1.15

Therefore, a crepe paper cost $1.15

Help I need to answer this question now ASAP

Answers

Answer:

-5

0

0.9

-1.3

Step-by-step explanation:

comment if u still need explanation :)

All of them except 5!
mark me brainliest please and lmk if you need help with anything else.

1 and 2 are complementary angles. The measure of 1 is 54 . The measure of 2 is 6(x +1). Find the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

Complementary angles are two angles that add up to 90 degrees. 90 - 54= 36, so 6(x+1), or 6x+6 = 36. You subtract 6 from both sides to get 6x=30, then divide by 6 on both sides to get x=5. So the answer would be x=5.

Shaughn has 36 bottles of soda.
Each bottle holds 20 ounces of soda.
Shaughn will use 15-ounce paper cups to serve the soda.
How many paper cups will he need to hold all of the

Answers

Answer:

I think u left out the word sorry dude cant help u

Solve the system of equations and choose the correct answer from the list of options.

x + y = 1
y = x −5

Label the ordered pair as (x, y). (4 points)

a
(0, 0)

b
(3, −2)

c
(−2, 3)

d
(−3, 0)

Answers

answer:
b
(3, -2)

step-by-step explanation:
needs to be y = mx + b
x + y = 1
-x -x
y = -x + 1
y = x - 5 is already in form
using desmos
they intersect at (3, -2)

Answer:

b

Step-by-step explanation:

substitute y in x

x+x-5=1

2x=6

x=3

y=3-5

y= -2

What is ;

i^82

(Show work) ​

Answers

Answer:

-1

Step-by-step explanation:

We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version

In this case the remainder is two which means taht i^82 = i^2 = -1

One thing you learned about slopes

Answers

Answer:

one thing that I learned about slope is the rise over run and y2-y1 over x2-x1

Step-by-step explanation:

Answer:

That if 2 coordinate points are given we can use the formula of; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope passing through those points

Hope this helps!

Multiply (x - 4)(x - 3)
PLZZZ get it RIGHT, SHOW YOUR WORK,AND NO LINKS PLZ!

Answers

Answer:

b

Step-by-step explanation:

(x - 4) (x - 3)

x^2 - 3x - 4x + 12 (you distribute x in (x-4) to each of the terms x and -3 and multiply them. x*x is x^2 and x*(-3) is -3x. Then, you distribute -4 in (x-4) to  each of the terms x and -3 and multiply them. -4*x is -4x and -4*-3 is 12)

x^2 - 7x + 12 (B)

Answer:

B

Step-by-step explanation:

x²-3x-4x+12

x²-7x+12

PLEASE HELP ASAP GIVING 100 POINTS

1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain

2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.

Answers

Answer:

this is so easy like just put variables a in b

Step-by-step explanation:

hope you get it

The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be  the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)

The average marks of 10 students is 41. If the average marks of the top 6 and bottom 5 rankers are 45 and 36 respectively, how much did the
5th ranker score?

a. 41
b. 42
c. 43
d. 40
no spam please​

Answers

Answer b. The student scored 42. Because the middle ground between 45 and 36 is 40,5. 42 will bring the grade up by 0,5

Which ordered pair is a solution to the following system of inequalities?
y< 2x+1
y 2 X-1

A. (-3,-11)
B. (0,6)
C. (5, 4)
D. (-8,0)

Answers

Answer: I think B

Step-by-step explanation:

HELP IM GOING TO CRYY!!! Find the total area of the figure below. Round your answer to the nearest tenth.

Answers

Answer:

349.94

Step-by-step explanation:

First u add all the square sides because they all are the same which gives u 196 then u can see there is two half circles which if they add up will be a circle and the diameter is the same as the square sides then if the diameter is 14 then the radius will be 7 becaue 14/2 therefore u use the area of the circle which is

[tex]\pi \times {7}^{2} [/tex]

then u add all the numbers.

Colin was thinking of a number. Colin adds 10, then divides by 6 to get an answer of -8. What was the original number?

Answers

Answer: - 58

Step-by-step explanation:

First, let us think of this number as x.

The first direction is to add 10 to it which is now x+10

After, we divide this by 6 getting -8.

This would look like (x + 10)/y = -8

Now, we solve

We go backwards so first step Is to multiply -8 by 6. This would get us -48. Then we subtract 10 since we added ten in the first place giving us -58.

The final answer is -58

Answer:

The original number was -58

Step-by-step explanation:

Step 1: Do -8*6 to find out what the numerator was.

Step 2: After finding that the numerator was -48 you would subtract 10 getting -58

Step 3: Check your work : -58+10 = -48

                                            -48/6 = -8

Marjorie paid $72.00 for 6 CD's. If the CD's are all the same price, what is the price of 1 CD? A) $12.00 B) $9.00 C) $8.00 D) $6.00

Answers

It’s 12$$ bc 72 divided by 6 is 12

Answer:

A

Step-by-step explanation:

CD's           Price

6     -------> $72.00

1      -------> x

[tex]x=\frac{72*1}{6}\\\\x=$12[/tex]

please help someone, no BOTS

Answers

Answer:

[tex]3 \times \frac{4}{9} p + 5[/tex]

3 4/9p + 5

Three and four-ninths p plus five
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