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

(WILL GIVE BRAINLIEST)​

Answers

Answer:

i think the answer is B

Step-by-step explanation:

Simplify.
(2.7 x 10^) (3.5 x 10%)
9.45 x 107
9.45 x 106
9.45 x 1012
9.45 % 1011
Help please

Answers

C I think I hope this is correct

A standard STOP sign is 12.4 inches on each side and is in the shape of a regular octagon. What is the sign's approximate area? Show your work for full credit. Round your answer to the nearest tenth if necessary.

Answers

Answer: 20.4

Step-by-step explanation:

Add all of the sides by 12.4

12.4 + 8 = 20.4

Answer:86.8

Step-by-step explanation:

you add 12.4 by the number of sides wich is 8

AREA How do you write1/2 as a percentage? Write your answer using a percent sign (%)

Answers

Answer:

50%

Step-by-step explanation:

1 is half of 2 and 50% of anything is half

Answer:

give me brainllest if i am right

50%

The probability of the number of defective circuit boards in a shipment is given in the tables for two different companies. Company A A 5-column table has 2 labeled rows. The first row is labeled Number defective (x) with entries 0, 1, 2, 3. The second row is labeled P (x i) with entries 0.21, 0.30, 0.41, 0.08. Company B A 5-column table has 2 labeled rows. The first row is labeled Number defective (x) with entries 0, 1, 2, 3. The second row is labeled P (x i) with entries 0.18, 0.32, 0.28, 0.22. What is the expected number of defective circuit boards for company A? What is the expected number of defective circuit boards for company B? Which company should be chosen for purchasing circuit boards? Explain.

Answers

Answer: company A: 1.36

company B: 1.54 A; lowest expected number of defective boards

Step-by-step explanation:

i got it right on edge

The weighted average is a generalization of the expected value. The company that should be chosen for purchasing circuit boards is Company A.

What is the expected value?

The weighted average is a generalization of the expected value. The expected value is the arithmetic mean of a large number of independently chosen random variable outcomes.

A.) The expected number of defective circuit boards for company A is,

Expected number = (0.21×0) + (0.30×1) + (0.41×2) + (0.08×3) = 1.36

B.) The expected number of defective circuit boards for company B is,

Expected number = (0.18×0) + (0.32×1) + (0.28×2) + (0.22×3) = 1.54

C.) Since the expected number of defective circuit boards for Company A is less, therefore, the company that should be chosen for purchasing circuit boards is Company A.

Learn more about Expected value:

https://brainly.com/question/13945225

#SPJ5


Four times the sum of a number and 18 is at least -22

Answers

Answer:

x=7

Step-by-step explanation:

3x+4=18+x

2x=14

Set number equal to "x".

can someone help me understand this please

angle r = ___ degrees

Answers

Answer:

31

Step-by-step explanation:

The angle formed by two secants intersecting outside a circle is equal to half the difference of the intercepted arcs.

So ∠r = [tex]\frac{101-39}{2} =\frac{62}{2} =31[/tex]

angle r is 31 degrees.

Question 1
03.04MC)
The sum of the consecutive numbers is 84 What is the largest of these number? A. 26
B. 27
C. 28
D. 29
plz help im giving 15 points!

Answers

Answer:

i dont know because u didnt give me how many numbers

Step-by-step explanation:

Cynthia uses 15 1/2 gallons of gas while driving 310 miles in her car. What is the unit rate of miles per gallon?
no links please​

Answers

Answer:

20 mi/gal

Step-by-step explanation:

310/ 15.5 = 20

5 green marbles
6 blue marbles
7 red marbles
2 purple marbles
what is the probability of picking a green marbel and replacing it
What is the probability of picking a red marbel and replacing it

Answers

1. 1/4
2. 7/20 i’m pretty sure these are right.

A parabola can be drawn given a focus of (5, 9)and a directrix of y=3. Write the equation of the parabola in any form.​

Answers

y=-8(x+5)^2-7 I think

What is the value of x

Answers

Answer:

E. 128°

Step-by-step explanation:

X+52°=180°X=52°-180°X=128°

Tree one is meters tall. Tree two is 10.5 meters tall. What is the scale factor

Answers

Answer: 10.5

Step-by-step explanation:

Samantha went running 10 days last month. The distances she ran are shown in the line plot below hows many day did Samantha run less than 56/8 miles

Answers

Answer:

For 6 days,  Samantha ran less than 56/8 mile

Step-by-step explanation:

The remaining part of the question is attached

Solution

Given

As we know

56/8 can be reduced to 5 3/4

Hence, if we see the plot we can determine that Samantha  ran 6 times less than  5 3/4 miles

For 6 days,  Samantha ran less than 56/8 mile

Which is the equation of the line that passes through the point (-3,-9) and has an undefined slope?

Answers

Answer:

Step-by-step explanation:

i dont know

You just found the volume of a cylinder, which of the following would be acceptable units for the answer?

A: cm

B: cm^2

C:cm^3
D: none of these

Answers

the answer is c, hope this helps
I think the answer is C! I hope you get an A++ ;) good luck

Mariana has 5 tangerines and decides to give it to the students in her classroom, but since there are 29 students in her classroom, she decides to make a lottery among all of them and picks 5 names at random. What kind of sample is this? Why?

Answers

Step-by-step explanation:

Well, to be perfectly honest in my humble opinion, of course without offending anyone who thinks different from my point of view but also by looking into this matter in a different perspective and without condemning one's view and by trying to make it objectified and considering each and everyone's valid opinion, I honestly believe that I completely forgot what I was going to say.

Answer:

There are nine levels to choose from to suit pupils of different abilities. ... *See notes on saving names on the left side of this page ... I have a lot of partner and small group work in my classroom and I can guarantee that EVERY ... "I like the random student generator, but I want a feature to have a true "pick from the hat" where ...

Step-by-step explanation:

Solve the varible :
1: -5z + 8 = 33
2: -4b - 7 = 37
3: 8x + (-9) = 45
4: 6c + 7 = -29

Answers

Answer:

1: -5z + 8 = 33

-5z=33-8

z=-25/5

z=-5

2: -4b - 7 = 37

-4b=37+7

b=-42/4

b=21/7

3: 8x + (-9) = 45

8x=45+9

x=54/8

x=27/4

4: 6c + 7 = -29

6c=-29-7

c=-36/6

c=-6

Find the average (mean) of the following test scores
83,92,47,78,80
A.76
B.70
C.72
D.83
E.68

Answers

Answer:

A

Step-by-step explanation:

Step by step explanation

Please help! I will give Brainliest!

Answers

Answer:

Option. A

Step-by-step explanation:

Have a great day!

Answer: A

Step-by-step explanation: there's 8 spaces on the spinner

Giving brainlist to whoever answers

Answers

Answer. Is d. I’m guessing

How many unit cubes are needed to make the large cube?

Answers

Answer:

D. 64 should be the answer

Step-by-step explanation:

length x width x height

4 x 4 x 4

4^2

64

Can someone help me please I need both area and perimeter

Answers

Answer:

A=2300

P=240

Step-by-step explanation:

Area)

separate the shapes

Rectangle 1

30+20=50

50×30=1500

Rectangle 2

70-30=40

40×20=800

Area 1500+800=2300

Perimeter)

First we find every dimention

So now we add

30+30+50+70+20+40

30+30=60

60+50=110

110+70=180

180+20=200

200+40=240

pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

You didn't post any questions

What is the measure of angle B in degrees?
A) 30
B) 45
C) 60
D) 90

Answers

Answer:

its a 30 my friend and if its not a then choose b hope this helped

Step-by-step explanation:

CAN SOMEONE HELP LIKE RIGHT NOW!!!!!

Answers

Answer:

30 + 25 + (4x + 25) = 180

55 + (4x + 25) = 180

-55                    -55

4x + 25 = 125

-25 -25

4x = 100

Divide by 4 on both sides

X = 25

Now we just replace the x with 25

4 x 25 = 100, 100 + 25 = 125 degrees is the missing angle of y

Would you rather be able to breath underwater or fly through the air?

Answers

Answer:

breathe underwater

Step-by-step explanation:

Answer:

fly through the air

Step-by-step explanation:

because i could get to where i wanted to faster

hope this helps

NEED HELP ASAP 15 POINTS

Answers

Answer:

mean = 2

median = 2.5

Step-by-step explanation:

There are a total of 20 goals  (1*0 + 3*1 + 1*2 + 3*5 = 0 + 3 + 2 + 15 = 20)

There are 10 games, so 20/10 = 2 = mean

Threre are 5 games with goals greater than 2.5 and 5 games with goals below 2.5.  So the median is 2.5

What is 2 1/4 + 1 1/8?

Answers

Hope this answered it

Step-by-step explanation:

2(1/4) + 1(1/8)

9/4+9/8

lcm is 8

(18+9)/8

27/8=3.375=3 3/8

A doctor compiles a numbered list of all his 350 patients. He selects every 25th patient to receive a survey after
choosing to randomly start with the seventh name on the list. Which statement correctly identifies and justifies
whether the scenario represents an SRS?
O This represents an SRS because the sample was selected with a chance process.
O This represents an SRS because there were no restrictions placed on the sample group.
This does not represent an SRS because each individual chosen does not have an equally likely chance of being
chosen.
O This does not represent an SRS because each group of patients chosen does not have an equally likely chance
of being chosen.

Answers

Answer: This does not represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen.

Answer:

the answer is D. This does no represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen

Step-by-step explanation:

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