What is the 6th term in this sequence? 1, 3, 9, 27, . . .

Answers

Answer 1

Answer:

a₆ = 243

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3

this indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = 3 , then

a₆ = 1 × [tex]3^{5}[/tex] = 243

Answer 2
Answer:

243

Solution:We have a geometric sequence here, meaning that we use multiplication/division in order to get to the next term.In this case, we multiply each term by 3.1 times 3 is 3, 3 times 3 is 9, 9 times 3 is 27...In order to find the sixth term, we should take the fifth term and multiply it by 3.In order to find the fifth term, we need to take the fourth term and multiply it by 3.Multiply:81So the fifth term of this sequence is 81.Now, multiply 81 times 3:243Therefore, the sixth term in this sequence is equal to 243.

Hope it helps.

Do comment if you have any query.


Related Questions

I NEED HELP LOOK AT THE PICTURE PLEASE

Answers

just use the formula 1/2bh

That your answer so I help

Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.About how many people had viewed the video once it had been online for 20 days? the answer is 6,271!!!

Answers

The number of people that had viewed the video that Marta’s mother shared online was 6271

How to solve an exponential function?

Let f(x) represent the number of views after x days.

Given the function:

f(x) = 33(1.3)ˣ

Hence:

After 20 days, the number of views is:

f(x) = 33(1.3)²⁰ = 6271

The number of people that had viewed the video once it had been online for 20 days was 6271

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

6,271 people saw the video

Step-by-step explanation:

x^2+6x+8÷x^2-16 simplify

Answers

Answer:

The answer is in the file below, I wasn't able to make it in text form.

Sara is packing for vacation. She is taking three shirts: yellow (Y), white (W), , and green (G). She is also taking a pair of jeans (J), a pair of black pants , and a pair of shorts (S). For shoes, she is packing tennis shoes (T) and a pair of dress shoes (D). Each outfit will be made of shirt, pair of pants, and pair of shoes. Which list shows all possible outfits that Sara can create from these options?A. YJ,YB,YS,WJ,WB,WS,GJ,GB GS,TDB. YJ,YB,YS,YT,YD,WJ,WB,WS,WT,WD,GJ,GB,GS,GT,GDC. YBT,YBD,YST,YSD,WBT,WBD,WST,WSD,GBT,GBD,GST,GSDD. YJT,YJD,YBT,YBD,YST,YSD,WJT,WJD,WBT,WBD,WST,WSD,GJT,GJD,GBT,GBD,GST, GSD

Answers

The answer is C I think im not sure

which expressions are equivalent to the expression (x-y) 5/8 - 1/4x +y? answers: 3/8x + 3/8y, 3/8x + 1 5/8y, 5/8x - y - 1/4x + y, 5/8x - 5/8y - 1/4x + y, 5/8x - 1/4x + y - 5/8y

Answers

Answer:

  (a)  3/8x +3/8y

  (d)  5/8x -5/8y -1/4x +y

  (e)  5/8x - 1/4x + y - 5/8y

Step-by-step explanation:

An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.

__

  (x -y)(5/8) -1/4x +y

  = 5/8x -5/8y -1/4x +y . . . . . use distributive property

  = 5/8x -1/4y +y -5/8y . . . . . . reorder terms

  = (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms

  = 3/8x +3/8y

Go Q 7x12 7
what is it?​

Answers

Answer:

7*12= 84

Step-by-step explanation:

Hope this helps.

Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. Write an algebraic equation to represent how much money he received

Answers

Answer:

x + 29 = 41

Step-by-step explanation:

Trevon received some money, but we don't know how much, so we will represent that with x.

The money he received will be add the amount he had last friday, $29.

The equation will equal his current amount, $41.

The volume of a cylinder is 48n cubic feet. The
area of the base is 121 square feet.
What is the height of the cylinder?

Answers

Answer:

1.25 feet to the nearest hundredth.

Step-by-step explanation:

Voilume = π r^2 h

Here V = 48π , and area of the base = π r^2 = 121.

So  48π = 121h

h =  48π / 121

= 1.25 feet to the nearest hundredth.

GIVING BRAINLIEST!

2pi8^2 + 2pi8*8=?

the answer should be 150, show the steps

Answers

Answer:

256π

Step-by-step explanation:

2π(8²) + 2π(8)(8) <== exponents first

2π(64) + 2π(64) <== multiply

128π + 128π <== add

256π <== final answer

Note: 8 * 8 can also be written as 8²

Hope this helps!

Answer:

256π

Step-by-step explanation:

4π(8²) =   4π(64)=  804.2477193

804.2477193/π = 256π

what is 90x40+50-20x45=20-15(34)-(20)+

Answers

Answer:

2750=-510

Step-by-step explanation:

hope this helps ._.

Every day, the Lee Pet Store uses 1/3 of a bag of dog food to feed the dogs. How many days
will 1 1/3 bags of dog food last?

Answers

1/3bag = 1 day
1/3bag x ? days = 1 1/3 bags
1/3d = 1 1/3 or 4/3
divide each side by 1/3 or multiply each side by its inverse 3/1
1/3 * 3/1 d = 4/3 * 3/1
the 1’s and 3’s cancel each other out on the left and the 3’s cancel each other out on the right.
You are left with d = 4
The food will last 4 days.

Which one has the same volume

Answers

Answer:

u should've cropped out ur name

Step-by-step explanation:

The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Let's check all the options, then we have

A. x = 5 - 3y, the independent variable is 'y' and the dependent variable is 'x'.

B. y = 0x + 5, the independent variable is 'x' and the dependent variable is 'y'.

C. x² + y² = 2, it is not a function because the number of values of 'x' and 'y' will be two.

D. x² = y, it is not a function because the number of values of 'x' will be two.

The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ7

Which of the following is the correct factorization of the polynomial below?

2x^2 - 12x + 18

A. 2(x - 3)^2

B. 2(x + 6)(x + 3)

C. (2x + 6)(x + 3)

D. The polynomial is irreducible.

Answers

Use Factor

A is the answer

Find the surface area of the Prism, will mark BRAINLIEST if correct

Answers

Answer:

2490

Step-by-step explanation:

Individually find the area of each side of the shape then add all values

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

180- (55) = ACB 125
Angles on a straight line =180
ACE and 90° adjacent on a straight line so they add up to 125

y+(-3)²+6(-3)+5
y= -4

I am not sure how they got -4 as the answer.

Answers

PEMDAS - parentheses exponents multiplication division addition subtraction

Hope it helps!

Any queries - comment!

PS I'll edit in a min, please wait :)

solve the right triangle (all sides and angles) please help!!!

Answers

LUFFY to the right and LUFFY to the left

which part of the cell makes proteins?

a) chromosomes
b) ribosomes
c) lysosomes
d) mitochondrion

Answers

b)ribosomes make proteins
It’s b
Ribosomes is the only thing that makes proteins. Hope this helps

helpppp: Find the area of the figure.

Answers

Step-by-step explanation:

in such cases we always try to split the complex figure into non-overlapping simple figures, calculate their areas and add them up.

what simple figures can we see here ?

I see a rectangle 80m × 130m.

and that leaves for me a right-angled triangle in the upper right corner with the legs of

250-80 = 170 m and 130-50 = 80 m

the area of a rectangle is

length × width

the area of a right-angled triangle is

leg1 × leg2 / 2

the individual areas are

80×130 = 10,400 m²

170×80/2 = 170×40 = 6,800 m²

and that gives us a total for the whole area

10400 + 6800 = 17,200 m²

*please show your work *
Find the volume of the rectangular prism in cubic yards.
《V = lwh》
2 feet
5 feet
8 feet​

Answers

Answer:

V = 80

Step-by-step explanation:

V = lwh

V = 8(5)(2)

V = 40(2)

V= 80

cumulated Depreciation and Fees Earned would be sorted to which respective columns in completing a work
eet?
ect one:
. a. Balance Sheet and Statement of Owner's Equity-Credit; and Income Statement-Credit.
b. Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Debit.
c. Income Statement-Debit and Income Statement-Credit.
d. Balance Sheet and Statement of Owner's Equity-Debit; and Balance Sheet and Statement of Owner's Equity-
Credit.
e. Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.

Answers

Accumulated Depreciation and Fees Earned would be sorted into Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.

What is an accumulated depreciation?

Accumulated depreciation is the accumulation of an asset's depreciation through a specific point in its lifetime. It is a contra asset account, which means that its proper balance is a credit that decreases the asset's overall value.

A corporation debits depreciation expenditures and credits accumulated depreciation when accounting for depreciation in the general ledger. 

On the balance sheet, accumulated depreciation is recorded and shown underneath the line for associated capitalized assets.

Therefore, we can conclude that Accumulated Depreciation and Fees Earned would be sorted into the Balance Sheet.

Learn more about accumulated depreciation here:

https://brainly.com/question/9041582

HELP ME OUT PLS!!!!!!!


1) Why was the narrator surprised when she walked to the carnival?

A) She heard noises coming from the park.

B) She saw shadows on the walls of the tent.

C) The moonlight lit up the streets in the town.

D) It seemed as if she was alone on the streets.​

Answers

I think it is D
Hope his is right!!!

Hi! Just wondering if you could check if i got this right?

Answers

Answer:

Step-by-step explanation:

the answer is x = 24

3/4x+4=22

3x/4+4=22

3x/4+4=22

3x/4+4x4/4=22

3x/4+4x4/4=22

3x+4x4/4=22

x=24

Is 24 because is 3/4x 4 =22

42.
If y = x2, then y' – 2x =
A.
2x
B.
4x
C.
00
D.
01

Answers

Answer:

C. 00

Step-by-step explanation:

Using power rule....

y = x²

y' = 2x        

Solving for y' - 2x......

y' - 2x

2x - 2x

0

I hope this helps!

What is the value ofthe expression 1 2 (m-4).. when me 12 and na 3 4 OA) ? OB) 1 OC) 2 OD)

HELP ASAP ​

Answers

1 is the answer......

WHATS UP KID

I need help with this question step by step

Answers

Z-scores are used to determine the probability of data. The z-score for the given parameters in normal distribution is -6.35

How to calculate z-score for a normal distribution?


The formula given to calculate the z-score is expressed as:

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

Given the following parameters:

Mu = 1.36

n = 28
[tex]\sigma = 5[/tex]

Mean = 130

Substitute into the formula

[tex]z = \dfrac{130-136}{\frac{5}{\sqrt{28}} }\\ x = \frac{-6}{0.9449} \\z = -6.35[/tex]

Hence the z-score for the given parameters in normal distribution is -6.35

Learn more on z-score here: https://brainly.com/question/25638875

PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST

Answers

Answer:   Choice D

19/12

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

Explanation:

Use the triangle inequality theorem to set up these three inequalities

AB+BC > ACAB+AC > BCAC+BC > AB

If you were to apply substitution and solve for x, then you'd get these solutions in the order presented shown above

x < 11/2x > 3/4x > -3/4

We'll ignore the third inequality. It's not very useful because we were already told that x > 0.

The first two inequalities combine to get 3/4 < x < 11/2

This is the range of possible x values so that triangle ABC is possible.

---------------

If we want angle CAB (or angle A for short) to be the largest of the triangle, then side BC must be the longest of the three sides.

The rule is: the largest angle is always opposite the longest side. This applies to triangles only.

Since BC is the longest side, this means BC > AB and BC > AC

---------------

Let's focus on the first inequality

BC > AB

x+7 > x+4

7 > 4

That's true regardless of what we pick for x. So BC is always longer than AB.

---------------

Now onto the second inequality

BC > AC

x+7 > 4x

7 > 4x-x

7 > 3x

3x < 7

x < 7/3

Now recall that we found earlier x > 3/4 or 3/4 < x

Combine 3/4 < x and x < 7/3 to get the compound inequality 3/4 < x < 7/3

---------------

Notice the middle part of that compound inequality is x and BC = x+7

If we were to add 7 to all three parts of the compound inequality, then we'll determine exactly the possible range of lengths for segment BC.

3/4 < x < 7/3

3/4+7 < x+7 < 7/3+7

3/4 + 28/4 < x+7 < 7/3 + 21/3

31/4 < x+7 < 28/3

31/4 < BC < 28/3

The length of segment BC is between 31/4 units and 28/3 units, excluding both endpoints. Those are the values of m and n in that order.

---------------

The last step is to compute n-m

n-m = (28/3) - (31/4)

n-m = (112/12) - (93/12)

n-m = (112-93)/12

n-m = 19/12 which points us to choice D.

Side note: 7/3 - 3/4 = 28/12 - 9/12 = (28-9)/12 = 19/12

Jefferson's Popcorn & Roasted Nuts Shop sells cone-shaped bags of roasted cashews, shown below. What is the volume of the bag of nuts?

Answers

The volume of the bag of nuts is the amount of nuts it can contain

The volume of the bag of nuts is 84.78 cubic inches

How to determine the volume of the bag?

From the figure, we have the following parameters:

Radius, r = 3 inHeight, h = 9 in

The volume of a cone is calculated using:

V = 1/3 πr^2h

Substitute the known values

V = 1/3  * 3.14 * 3^2 * 9

Evaluate the product

V = 84.78

Hence, the volume of the bag of nuts is 84.78 cubic inches

Read more about volumes at:

https://brainly.com/question/1972490

Which expression can be simplified to the form 3\y + 3, where y is a positive integer?

Answers

Answer: Choice B) [tex]\sqrt{63}[/tex]

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

Explanation:

Let's rewrite the given expression like so

[tex]3\sqrt{y+3}=\sqrt{3^2}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9(y+3)}\\\\[/tex]

We can see that the radicand is a multiple of 9 since 9 is a factor.

This immediately rules out choices C and D because 75 and 84 are not multiples of 9.

-------------

Plug in the smallest positive integer (1) for y to get

[tex]\sqrt{9(1+3)}=\sqrt{9(4)} = \sqrt{36}\\\\[/tex]

The radicand 36 is larger than the radicand for choice A (18), meaning we can rule out choice A. There's no way to get a radicand of 18 since y = 1 is the smallest we can go for.

We can however get to 63 by using y = 4

[tex]\sqrt{9(4+3)}=\sqrt{9(7)} = \sqrt{63}\\\\[/tex]

Showing that choice B is of the form [tex]3\sqrt{y+3}[/tex] where y is a positive integer, specifically when y = 4.

Select all of the numbers that round to 5.1 when rounded to the nearest tenth.

A. 5.0
B. 5.01
C. 5.016
D. 5.099
E. 5.13
F. 05.17

Answers

Answer:

D and E

Step-by-step explanation:

Other Questions
How did more people get access to the American Dream during the 20th century? Mrs. Chase hired a landscaping service to plant a row of bushes around her triangular backyard. If the bushesmust be planted 3 feet apart, approximately how many bushes are needed for the backyard? (4 points work,1-point final answer)1230 The Earth's history is shaped by different geological processes over a wide range of space and time.For example, in the late 1900s, a crater was discovered near the town of Wetumpka, Alabama. Scientists found shocked quartz in the core samples collected from the crater. Shocked quartz occurs as a result of intense metamorphism (change in the structure of rocks).Which of the following geological processes is most likely responsible for the formation of the crater? A. erosion by water B. tectonic plate movement C. volcanic eruption D. meteor impact The sum of two numbers is eighteen. The total of three times the smaller and twice thelarger is 44. Set up and solve and algebraic equation to find the two numbers. pls help fast!!! will give brainliest!!!!!! Mike earns $15 per hour and Sara earns $34 per hour. What is the relative change in wages from Mike to Sara? Factorize the given expressions below. a) 6x power 2 -3xb) x power 2 + 3x - 28c) 4au + 24av - 5bu - 30bvplease answer and make it clear. give them brainlest answer. Let's see if you understand your employer's role in the PPE process. Place theoptions in the correct sequence by selecting the appropriate number from thedropdown menu. Then select the Check Answers button to submit your answer. Select the right PPE for the jobProvide training on the hazards and therequired PPEPerform a hazard assessment Help asap I dont know what Im doing Martin Luther King Jr's "I Have a Dream" speech is a secondary source.TrueFalse there are 15 boys and 10 girls in mrs.rogers class what is the ratio of boys to girls ? Max has a monthly salary of $1,100 and also earns 7.5% commission on his sales. if max had $43,000 in sales last month, what were his total earnings for the month? a. $3,225 b. $4,050 c. $4,325 d. $5,150 please select the best answer from the choices provided a b c d suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially? write and solve an inequality that represents this situation.d-22 > 28; d > 50d +22 28; d > 72d + 22 s 28; ds 72d-22 28; d = 50 Question is in the picture. how did the south prevent the guarantee of rights established in the 15th amendment without breaking the law The diagram above illustrates the components of which economic system that was connected with European exploration?A: MercantilismB: Market EconomyC: Capitalism D: Cottage Industry The area of a rectangular room is 48 square feet and the width is 2 yards. What is the length of the room? The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tailwind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.P.S: The answer is not 540 Which of the following is equivalent to 24:72?a. 1:3 b. 2:4 c. 2:3 d. 3:1 An ideal gas, initially at a volume of 2.4 L andpressure of 5 kPa, undergoes isothermal expansion until its volume is 6 L and its pressureis 2 kPa.A) Calculate the work done by the gas duringthis process.Answer in units of J.B) find the heat added to the gas during this process. Answer in units of J.