What is the eighth term of the geometric sequence 6, 18, 54

Answers

Answer 1

Answer:

= 4374.

Step-by-step explanation:

 it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.

This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.


Related Questions

Show the fraction, decimal, and final percent for each. Round your percent to the
nearest whole.
66 out of 85 on a project

Answers

Answer:

66 to 70 and 85 to 90

Step-by-step explanation:

The surface area of this cube is 864 square yards. What is the value of q?

Answers

Answer:

Volume  

=

512

cubic feet

Explanation:  

A cube has  

6

faces all with equal area.

If the total surface area of the cube is  

384

sq.ft.

then each face has an area of  

384

÷

6

=

64

sq.ft.

Each face of a cube is a square and if we denote the length of an edge as  

E

then the area of a face (in this case  

64

sq.ft.) is equal to  

E

2

XXX

E

2

=

64

sq.ft.

XXX

E

=

8

sq.ft.

The volume of a cube with edges of length  

E

is  

E

3

In this case  

Volume

=

E

3

=

8

3

=

512

sq.ft.

Hope i helped

Lauren invests money in an accout paying simple interest.She invests $50 and no money is added or removed from investments.After one year she has $50.50.What is the simple percent of interest per year

Answers

Answer:

1%

Step-by-step explanation:

\text{\color{blue}{100\%} represents the \color{blue}{starting balance}: \color{blue}{\$50}.}

100% represents the starting balance: $50.

Method 1

Express the ending balance as a percentage of the starting balance:

\frac{\color{darkviolet}{\$50.50}}{\color{blue}{\$50}}=

$50

$50.50

=

\,\,1.01

1.01

1.01\times100=

1.01×100=

\,\,\color{darkviolet}{101\%}

101%

\text{Subtract the starting \color{blue}{100\%} to get the \color{green}{percent interest}:}

Subtract the starting 100% to get the percent interest:

\color{darkviolet}{101\%}-\color{blue}{100\%}=

101%−100%=

\,\,\boxed{\color{green}{1\%}}

1%

help pls asap!!!!!!! brainliest!!!!!!

Answers

A, the number of hours it takes the baker to frost all the cupcakes

2)
During a 500 minute car trip, Luke spent 74 minutes listening to his MP3 player, 56 minutes playing video games,
128 minutes watching a movie, and 38 minutes reading. The rest of the time he spent napping. If the time Luke
spent on these four activities is rounded to the nearest ten, about how many minutes did Luke spend napping?
A. 100 min.
B. 200 min.
C. 300 min.
D. 400 min.
Type here to search
O
9:28 PM
3/16/2021
DOLL

Answers

Answer:

B.) About 200 minutes napping

Step-by-step explanation:

74+56+128+38=296

500-296=204

204 is about 200

Please help. I need to show the work.

Answers

For the angles you could automatically make the 90 degree 90 then your equation is 180-90-23=x and x is the answer

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=19°, and FG = 62 feet. Find the length of GE to the nearest tenth of a foot.

Answers

Answer:180.1 feet

Step-by-step explanation:

Using tan to find the answer; Opposite/Adjacent = 62/x

tan19=62/x

xtan19=62 (cross multiply)

xtan19/tan19=62/tan19 (Divide each side by tan19)

x=62/tan19=180.0611=180.1 feet

A flower box measures 8 ft by 3 ft by 2 ft. Find the amount of soil that can fit in the box.

Answers

Answer: 48ft cubed (48ft^3)

Steps:

Volume- lwh

8 * 3 * 2

24 * 2 = 48

48ft^3 (48 feet cubed)

Fitz and 3 friends are at the amusement park. Each person buys a pretzel for $4, cotton candy for $3, and a drink for $1. Write an expression for the total and find the total cost.

Answers

4x+3x+1x=t, where x represents the number of people, and t represents the total cost.

So to solve it, it says Fitz and 3 friends so that’s four people, you’d substitute x for 4.


I hope this helps!

What is the area of the circle shown? Use 3.14 for pi.
Help me please I need to pass this test

Answers

A=3.14r^2
A=3.14 x 10^2
A=3.14x100
A=314
314cm is your answer

a car travels a distance of 50 km in 30 minutes. what is the average speed​

Answers

Answer:

100 km/hour, or 16.67 km/minute

Step-by-step explanation:

I'm in Algebra 1 and I need help with this, (show all working as well please)

Answers

Answer:

Step-by-step explanation:

All you do is  draw a line straight across 5x and then graph 1 which is right next to 5.

If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on coke.

Answers

Answer would be $104

2) What angle measurement will make the value of sine and cosine
equal?
A) 30°
B)
45°
C) 60°
D 90°

Answers

The answer is D because Sine and cosine equals 90.

WILL MARK AS BRAINLIEST PLEASE HELP!!!

Answers

Step-by-step explanation:

2x = y-10

Rewrite as: 2x + 10 = y

Therefore:

2x+10 = y

2x +7 = 2y

Subtract the equations:

 2x + 10 = y

- 2x + 7 = 2y

______________

          3 = -y

Therefore y = -3

Substiture y = -3 into the second equation:

2x + 7 = 2(-3)

2x + 7 = -6

2x = -13

x= -6.5

Answer : (-6.5, -3)

Answer:

(-13/2,-3)

Step-by-step explanation:

First you want to isolate y from 2x=y-10 or 2x+7=2y. In this case, I picked 2x=y-10 so I added 10 on each side to make y=2x+10. Because we know what y is equal to, we have to plug that into the other equation which is 2x+7=2y so the equation will look like 2x+7=2(2x+10). Simplify this to get 2x+7=4x+20. Simplify this again to get 2x=-13. Divide 2 by each side to get x=-13/2. Then, you have to -13/2 back into one of the equations. In this case, I picked 2x+7=2y so the equation will look like this. 2(-13/2)+7=2y. Simplify this to get -13+7=2y. Simplify again to get -6=2y. Simplify this again to get y=-3. Therefore, x=-13/2 and y=-3. To put it in ordered pair form which is (x,y). Plug that in to get (-13/2,-3).

If this has helped you, please mark the is brainliest

geometry unit 5 homework 5

Answers

Answer:

Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?

there is nothing attached

have a good day

What is the GCF of 4x^ 2 +6x

Answers

Answer:

The GCF of 4x^2 + 6x

is. (2x )

hope it helps

2x

The answer is 2 because it just it

please help me answer !!!!

Answers

Answer:

what are the options in the scroll down options

vjzgxv. vjvjcvjkv. vjvkvkkb

pls try to answer quickly

Answers

Answer:

137. 5

Step-by-step explanation:

Firstly you have to turn the mixed fraction into an improper fraction.

x/2/5 = 55/4

Now you multiply both sides by the denominators.

(5)(4) x/2/5 = 55/4  (5)(4)

2x = 275

137. 5

What is the area of her figure? Use 3.14 for T. *
Nora draws a figure on a piece of paper as shown.

Answers

Answer:

nm,l

Step-by-step explanation:

Part 1:Noah raised $54 to support the animal shelter, which is 60% of his fundraising goal. Write an equation to represent the situation.

Part 2:What is Noah's total fundraising goal? Show or explain how you found it.
PLS HELP

Answers

Answer:

54 60

----- = ------

x 100

goal is 90 dollars

Step-by-step explanation:

cross multiply then divide

Please Help Will Give Brainlist
2a+2=6

Answers

Answer: 4a

Step-by-step explanation:

Answer:

a = 2

Step-by-step explanation:

2a + 2 = 6

2a + 2 - 2 = 6 - 2

2a = 4

2a / 2 = 4 / 2

a = 2

Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!

A globe of the moon has a radius of 13 centimeters. Find the volume of the globe. Round your answer to the nearest whole number.

Answers

Answer:

9203 cm³

Step-by-step explanation:

A globe of the moon has a radius of 13 centimeters. Find the volume of the globe. Round your answer to the nearest whole number.

The shape of the moon is spherical

Hence:

The volume of a sphere

= 4/3 × π × r³

r = radius = 13 cm

= 4/3 × π × 13³

= 9202.77 cm³

Approximately to the nearest whole number = 9203 cm³

Therefore, the volume of the globe is 9203 cm³

11) Five toonies form a stack that is 2/5 in high. What is the approximate value of a
stack of toonies that spans 100 mile?

Answers

I GOTCHU THE ANSWER IS 35.87

6. Which is the solution to the system of equations

Answers

Answer:

Lets solve using elimination method

(x+y=-7)*-2

3x+2y=-17

-2x-2y=14

+

3x+2y=-17

x=-3

so lets substitute now

-3+y=-7

y=-7+3

y=-4

answer = (-3,-4)

mark me brainliest

HOPE IT HELPS :)

As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?

Answers

Answer:

The other distances are 400 ft and 750 ft.

Step-by-step explanation:

a + b + c = 2000

a + b + 850 = 2000

a + b = 1150     Equation 1

a^2 + b^2 = c^2

a^2 + b^2 = 850^2

a^2 + b^2 = 722,500     Equation 2

a + b = 1150

a^2 + b^2 = 722,500

a = 1150 - b

(1150 - b)^2 + b^2 = 722,500

1,322,500 - 2300b + b^2 + b^2 = 722,500

2b^2 - 2300b + 600,000 = 0

b^2 - 1150b + 300,000 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]

[tex]x = \dfrac{1150 \pm 350}{2}[/tex]

[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]

x = 750   or   x = 400

Answer: The other distances are 400 ft and 750 ft.

im so confused (please hurry and answer this is due soon

Answers

Answer:

its 12 :)

hope this helps you

Find the values of a, b, and c for the equation in standard form (y=ax^2+bx+c) of the graph of the parabola shown below.

a =____________
b = ___________
c = ___________

Answers

Answer:

[tex] \boxed{ \boxed{ \mathfrak{a = - \frac{1}{2 } \: b = 2 \: c = 4}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:quadratic equationPEMDAStips and formulas:the parabola crosses f(x) at (4,0)the vertex of the parabola (2,6)vertex:(h,k)h=-b/2ak=f(x)vertex form:f(x)=a(x-h)²+kstandard form:ax²+bx+clet's solve:

the vertex form of the equation is

[tex] \sf f(x) = a(x - 2 {)}^{2} + 6[/tex]

let's figure out a

since the parabola crosses f(x) at (0,4)

therefore

[tex] \sf a(0 - {2)}^{2} + 6 = 4[/tex][tex] \sf simplify \: parentheses : \\ \sf a( - 2 {)}^{2} + 6 = 0[/tex][tex] \sf simplify \: squres : \\ \sf \: 4a + 6 = 4[/tex][tex] \sf cancel \: 6 \: from \: both \: sides : \\ \sf 4a + 6 - 6 = 4 - 6 \\ \sf 4a = - 2 [/tex][tex] \sf divide \: both \: sides \: by \: 4 : \\ \sf \frac{4a}{4} = - \frac{ 2}{4} \\ \sf a = - \frac{1}{2} [/tex]

let's figure out b,c

we have to substitute the value of a into the vertex form and then simply it to get b and c[tex] \sf substitue \: the \: value \: of \: a \: into \: the \: vertex \: form \: of \: the \: equation : \\ \sf \frac{1}{2} (x - 2 {)}^{2} + 6[/tex][tex] \sf use \: (a - b {)}^{2} = {a}^{2} - 2ab + {b}^{2} \: to \: simplify \: the \: exponet : \\ \sf - \frac{1}{2} ( {x}^{2} - 2.x.2 + {2}^{2} ) + 6 \\ \sf - \frac{1}{2} ( {x}^{2} - 4x + 4) + 6[/tex][tex] \sf distribut e \: - \frac{1}{2} \: between \: the \: parentheses : \\ \sf - \frac{1}{2} x + 2x - 2 + 6[/tex][tex] \sf add : \\ \sf - \frac{1}{2} x + 2x + 4[/tex]

therefore

[tex] \sf \: b = 2[/tex][tex] \sf \: c = 4[/tex

If the area of a rectangle is

(15x2 - 16x - 15) square feet,

and its length is (3x - 5) feet,

find its width.

Answers

(5x+3) is the width, its factors form is (5x+3)(3x-5)

Add 6.1 and 51.24
What the answer please :)

Answers

Answer: 57.34

Step-by-step explanation:

Answer: 57.34
You know you can use calculator right? :D
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