Find the formula for the following sequence

Geometric : a7=9 and a12=2187

Answers

Answer 1

Step-by-step explanation:

a geometric sequence is s sequence, where every new element is generated by multiplying the previous element by the same number.

a n = a1 × number^(n-1)

so, a12/a7 = number^5

=> 2187/9 = 243 = number^5

=>

[tex]number = \sqrt[5]{243} [/tex]

=> number = 3

so, what is a1 ?

it has to satisfy e.g. a7.

9 = a1 × 3^6

9 = 3^2

=> 3^2 = a1 × 3^6

=> 1 = a1 × 3^4

=> a1 = 1/(3^4) = 1/81

therefore, the whole formula is

a n = 1/81 × 3^(n-1 )


Related Questions

Women make up 52 percent of the voting-age population and are more likely to vote, yet a. a woman has never been elected to the U.S. Senate. b. men dominate the political arena. c. women dominate the political arena. d. a woman has never been elected governor of a U.S. state. Please select the best answer from the choices provided A B C D

Answers

Answer:

b. "men dominate the political arena".

Step-by-step explanation:

Edgeńuity says -  B. "men dominate the political arena".

I got a 100% on the test

Please help I'm struggling​

Answers

Answer:

the first is  1/5 what are the other options

Step-by-step explanation:

Need help on this question! Maybe be mark brainliest?

Answers

The surface area is 44.844. The formula to solve this is too long to type and involves square rooting, but if you would like me to explain it I can. Have a great day!

please help me with full calculations

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.

This data set gives the height (in feet) of 15 rose plants in a garden: 5, 3, 4, 3, 2, 4, 1, 5, 5, 1, 1, 5, 4, 3, 5.

Which dot plot accurately represents this data?

dot plot A

dot plot B

dot plot C

dot plot D

Answers

Answer: It’s plot C

That’s because if you count how many fives there are then that’s how many dots same with four there two and one.

The plot is C

Hope this helped!


What is the equation of the function graphed below?

Answers

Answer:

D

Step-by-step explanation:

sorry if the answer is wrong

A 1x3 matrix times a 3x2 matrix, gives a product that is a
(I need both 7 and 8)

Answers

It should be 3xto the 10

please help omg- AAAAAAAAAAAAAAAAAAAAA

Answers

Answer: 11. A and B

12. 520 cubic feet.

Step-by-step explanation: 11. The volume for a prism is base x height. Thus, it would be 2 x 3 x 3 or 6 x 3 to get a total of 18 cubic units.

12. The first compartment's volume is 5 x 7 x 8 or 280. The second compartment is 5 x 6 x 8 or 240. The total would be 280 + 240 or 520 cubic feet.

Answer:

11.B

12.520

Step-by-step explanation:

5.7.8=280

5.6.8=240

TOTAL=520

Help!!!! I need the answer to this

Answers

Answer:

1. 147°

3. 147°

4. 33°

Step-by-step explanation:

hope this helps!

Rectangle ABCD, A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 5), B(7,5), C(7,-1) and D(5,-1). Given these coordinates, what is the length of side BC of this rectangle?

Answers

Answer:

I think the answer is 5

BC=5

Step-by-step explanation:

What Is the median for 2,0,1,0,4,3,1,0,7

Answers

Answer:

1

Step-by-step explanation:

Have a good day :)

Answer:

Step-by-step explanation:

the median is 1

2) Which of the following tables represents an exponential function?

Please help !!

Answers

Answer:

Step-by-step explanation:

im guessing B

Terry rents a kayak while he is on vacation. He is required to pay a deposit of $95 plus an additional $11.50 per day. Terry only has $150 to spend on kayaking. Write and solve an inequality you can use to determine the maximum number of days Terry can afford to rent a kayak.

Answers

Answer:

A maximum of 4 days

Step-by-step explanation:

Inequality: 95 + 11.50x ≤ 150

Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.

95 + 11.50x ≤ 150

-95                   -95

11.50x ≤  55

/11.50       /11.50

X=4.78260869565

You would round down since he has a budget.

PLEASE HELP!!!! - DUE SOON YOU WILL GET 40 POINTS FOR ANSWERING THESE QUESTIONS - PLEASE PLEASE PLEASE TRY TO SHOW WORK! - LINKS=REPORTED!!! -

Answers

18.
(17+23)x9x0.5
180 cm^2

Question 4 of 40
A building has three elevators. Each elevator is out of order 30% of the time.
The following set of random numbers represents 20 simulations of the
elevators, with 0, 1, and 2 representing a broken elevator and 3, 4, 5, 6, 7, 8,
and 9 representing a working elevator. In how many of the simulations were
all three elevators working?
931
188 763 841 559 144 652 277
653 673
404 396 011 843 599 797 414 761 273 844

Answers

Answer:

the answer is 9.

Step-by-step explanation:

The total stimulations in which all three elevators are working is 12(option d) by the concept of data representation.

What is data representation?

Data Representation: A method for analyzing numerical data is data representation. Data representation is used to create a diagram that shows the connections between facts, ideas, information, and concepts. It is a fundamental learning technique that is clear-cut and uncomplicated. The data type in a particular domain is always what determines it. There are many various styles and sizes of graphical representations.

According to the given data:

A building has 3 elevators.

The following set of random numbers represents 20 stimulations of the elevators, with 0, 1 representing the broken elevator and 2,3,4,5,6,7,8and 9 representing a working elevator.

Stimulation data:

931 188 763 841 559 144 652 277 653 673 404 396 011 843 599 797 414 761 273 844

Now, as we observe from the given data, the stimulation in which all three elevators are working are-

763,559,652,277,653,673,396,843,599,797,273,844a total of 12 stimulations.

Thus, the total stimulations in which all three elevators are working is 12

Hence, option d is correct.

To know more about data representation visit:

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Math/Geometry
HELP ASAP PLS GEOMETRY

Answers

Answer:ANSWER IS CBD by  ?

Step-by-step explanation:

ok so ABC is equal to 180 degreess so /_\ would a right angle which is 90

Someone help me with this

Answers

Answer:

=z ^(-11) + ^(-15)

= z ^ -26

Answer:

z^-11 times z^-15 = z^-26

Step-by-step explanation:

According to exponential properties, multiplying two numbers that have exponents with the same bases should be added.

Negative exponents mean to go from a^-x to 1/a^x.

Using these properties, we evaluate the expression.

Both terms have the same base, z, so we can go ahead and add the exponents.

-11 + -15 = -26

z^-11 * z^-15 = z^-26

Because the instructions specifically say to leave it in z^n form, our answer is z^-26.

Hope this helped!!

what is the image of the point (-2,7) after a rotation of 180 degrees counterclockwise about the origin?

Answers

Answer:

(- 7, - 5 )

Step-by-step explanation:

find the measure of x in the figure. show your work. answer asap please

Answers

Answer:

x=25

Step-by-step explanation:

2x+40=90

90-40=50

50 divided by 2 is 25

x=25

Select the correct answer.
Which sentence correctly compares temperatures?

Answers

I believe the answer is C.

Answer: C

Step-by-step explanation:

C is the only statement that is correct

it's all based on negative numbers :)

Do you think two students who made no computation errors would get different values for this numerical expression> explain (4x35)+(36x8

Answers

Answer:

Yes, they would get different values

Step-by-step explanation:

Given

[tex](4 * 35) + (36 * 8)[/tex]

Required

Would there be different value for the expression?

From the question, we understand that both students made no computational errors. This doesn't mean that the students cannot make other errors.

For instance, the expression can be solved (wrongly) in the following ways;

[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 140 + 36 * 8 \to 176 * 8 = 1408[/tex]

[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 4 * 71 * 8 \to = 2272[/tex]

While the correct solution is:

[tex](4 * 35) + (36 * 8) \to 140 + 288 =428[/tex]

Hence, it is possible for two students to get different values


Two dice are rolled. What is the probability of getting doubles?

Answers

Answer:

the probability of getting doubles is 1 / 6

I hope this may be helpful

Answer:

it is 1/36

Step-by-step explanation:

if you want to get doubles, you have a chance of 1 out of 6 on each die. All you have to do from here is multiply them

1/6*1/6=1/36

find the volume of this cylinder

Answers

Answer:

25² · 40 π in.³

Step-by-step explanation:

V = πr²h

π · 25² · 40

≈ 78539.81634

Since your question wants it in a different way, you have to know the formula.

V = πr²h

V = r² · h π in³

v = 25² · 40 π in³

Hiii dont mind the answer that i put but im not sure if im right, can someone please help me?

Answers

Answer:

Option 4

Step-by-step explanation:

The volume of a cylinder is going to be the area of the base (which is a circle) times the height. if you have cylindrical mug, then you can use the base area×height relationship, but it won't be exact because some of the volume is going to be used for the walls of the mug itself.

Anyways:

Volume = Base Area × Height

•Base Area -> Circle = π×radius²

•Height is given as 7in.

Volume = π×(6.2in)² × 7in = 845.33975...

Volume is in units cubed (the 3rd power) which is where the in³ is from. Your closest option here looks to be the 4th choice.

a line passes through point (-10,3) and has a slope of 1/2. write an equation in Ax+By=C form for this line. Use integers for A, B, and C

Answers

Answer:

-10, -4

Step-by-step explanation:

Use trigonometry to determine the m>DEC to the nearest degree

Answers

Answer:

m∠DEC  = 50° to the nearest degree

Step-by-step explanation:

cos D = adjacent side/hypotenuse

         = 36/56

m∠DEC = arccos (36/56) =50° to the nearest degree

PLEASE HELP WILL GIVE BRAINLIEST AND LOTS OF POINTS

Answers

Answer:

area of rectangle=432 m^2

area of triangle=750 in.^2

Step-by-step explanation:

The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1800 hours and a standard deviation of 25 hours. Using the empirical rule, what percentage of light bulbs last between 1725 hours and 1875 hours?

Answers

Answer:

99.7%

Step-by-step explanation:

The empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

Step 1

We have to find the number of standard deviations from the mean

μ = Mean = 1800 hours

σ = Standard deviation = 25 hours

For 1725 hours

μ - xσ =

1800 - 25x = 1725

25x = 1800 - 1725

25x = 75

x = 75/25

x = 3

For 1875 hours

1800 + 25x = 1875

25x = 1875 - 180

25x = 75

x = 75/25

x = 3

Step 2

From the above calculation, the bum of standard deviations from the mean is 3

Hence, the percentage of light bulbs last between 1725 hours and 1875 hours is 99.7%

Select the correct answer.
Which function is represented by this graph?

A.
f(x) = |x + 7| − 3
B.
f(x) = |x − 7| − 3
C.
f(x) = |x + 3| − 7
D.
f(x) = |x − 3| − 7

Answers

Answer:

The answer is B

Step-by-step explanation:

The function is represented by the given graph is f(x)=|x-7|-3. Therefore, option B is the correct answer.

What is a absolute value equation?

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

From the given graph, the vertex is (7, -3).

x-intercept(s): (10,0),(4,0)

y-intercept(s): (0,4)

We know that, general form of the absolute equation is f(x)=a|x-h|+k.

Here, equation is f(x)=|x-7|-3

Therefore, option B is the correct answer.

To learn more about a absolute value equation visit:

https://brainly.com/question/2166748.

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A piece of string is 120 centimeters long.

How long would the piece of string measure in meters?.

Answers

Answer:

1.2m

Step-by-step explanation:

1 meter = 100 cm

120cm * (1m/100cm)  = 1.2m

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