Which of the following best defines the sequence shown?
8, 24, 72, 216, ...

Which Of The Following Best Defines The Sequence Shown?8, 24, 72, 216, ...

Answers

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Given sequence is,

8, 24, 72, 216........

1st term of the sequence 'a' = 8

Ratio of 2nd and 1st term = [tex]\frac{24}{8}=3[/tex]

Ratio of 3rd and 2nd term = [tex]\frac{72}{24}=3[/tex]

There is a common ratio of 'r' = 3 in each successive and previous term.

Therefore, it's a geometric sequence.

Since, nth term of a geometric sequence is given by,

[tex]T_n=a(r)^{n-1}[/tex]

Therefore, function representing the geometric sequence is,

f(n) = [tex]f(n)=8(3)^{n-1}[/tex]

Option (2) is the answer.


Related Questions

The ordered pair for the equation x - 2y = 14 is:
0 (0,7).
O (7,2).
0 (0,-7).

Answers

(0,-7) is the correct answer I’m positive

HELP ASAP
what are the root functions?

Answers

A root function is a function expressed by x^1/n for positive integer n greater than 1.

multiple of 2 and 5 which is 2 more than the third multiple of 6

Plz with steps.. ​

Answers

Answer:

20

Step-by-step explanation:

the third multiple of 6 is 18

20 = 2+18

and it's also a multiple of 2 and 5

Answer:

5x2 -2

Step-by-step explanation:

when you times 2 and 5 it gives you ten when you minus it by 2 you get eight so six plus two equal to eight so that is your answer my friend

possible number of extrema a 4th degree polynomial could have is:

A. 3 or 1 extrema
B. 4 or 2 extrema
C. 5 extrema
D. none ​

Answers

Answer:

A

Step-by-step explanation:

Solve for y given the lines are parallel

Answers

Answer:

I believe the y is parallel :)))))))))

Answer:

35 degrees

Step-by-step explanation:

70 divided by 2 is 35.

And both sides are equal to each other bc the lines are parallel.

Is 218 the correct answer, please this is worth a lot

Answers

Answer:

you're right it's 218

Step-by-step explanation:

you simply just put 5 instead of n in the equation then calculate. It's simple as that!

yes because i checked again

Brian is n years old. How old will he be in 47 years?
Algebraic expression

Answers

Answer:

n + 47

Step-by-step explanation:

Let n = Brian's age now.

In 47 years, he'll be 47 years older than he is now.

In 47 years, Brian will by n + 47 years old.

Answer: n + 47

The age of Brian after 47 years will be n + 47.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Brian is n years old.

Then the age of Brian after 47 years will be given as,

⇒ n + 47

The age of Brian after 47 years will be n + 47.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

helpp hurrryyyyyyyyyy​

Answers

Answer:

N=10

Step-by-step explanation:

Find f(g(3)) for the functions f(x) =3x+8 and g(x) =-x^3

Answers

We are given:

f(x) = 3x + 8

g(x) = -x³

__________________________________________________________

The Concept:

We have to find the values of f(g(3)), which means that we have to apply the function g() on 3 and apply the function f() on the value we get.

Finding f(g(3)):

Finding g(3):

g(x) = -x³

g(3) = -(3)³

g(3) = -27

Finding f(g(3)):

f(x) = 3x + 8

f(g(3)) = 3(g(3)) + 8

f(g(3)) = 3(-27) + 8

f(g(3)) = -81 + 8

f(g(3)) = -73

Hence, f(g(3)) = -73

An envelope is 60 centimeters wide. About how many inches wide is the envelope? (1 inch ≈ 2.5 centimeters)

Answers

Answer:

60/2.5 = 24 cm

Step-by-step explanation:

if you are satisfied with the results then plz make me genius

Answer:

The answer is 24 inches.

Step-by-step explanation:

Given:

1 inch = 2.5 cm

or, 1 cm = 1/2.5 inch............... eqn (i)

Now,

Wideness of envelope = 60 cm

= 60 (1/2.5) inches [From eqn (i)]

= 60/2.5 inches

= 24 inches Ans

What is the quotient of 1414 divided by 32 and written in a mixed fraction

Answers

Answer:

44  3/16

Step-by-step explanation:

1414 ÷ 32 = 44.1875

[tex]44\frac{3}{16}[/tex] is 44.1875 as a mixed fraction.

Hope this helps!

If you need work let me know!

I have a test and I need all the answers

Answers

Answer:

ok what is it

Step-by-step explanation:

Answer:

ok...ask the questions

Step-by-step explanation:

Which lengths represent the sides of a right triangle?
A)
7, 24, 25
B)
8, 12, 16
C)
8, 24, 25
D)
9, 12, 13

Answers

Answer:

A

Step-by-step explanation:

Using Pythagorean theorem (a^2+b^2=c^2) you just plug them in. The hypotenuse is always the longest side so that would be 25. Then it doesn’t matter which side is a or b. 7^2+24^2=625

Then do the square root of 625.

The number of men and women receiving​ bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of​ 2014, the number of men receiving degrees​ (in thousands) is given by the equation ​y = 3.9x + 449 and for​ women, the equation is ​y = 14.1x + 312 where x is the number of years after 1970.

Answers

Wats the question may I ask

Solve for x , if x + 47 = -23 .

x =

Answers

Answer:

-70

Step-by-step explanation:

subtract 47 from both sides to get

x = -23 - 47

Answer:

Step-by-step explanation:

x + 47=-23

x + 47 - 47=-23 - 47

x=-70

Which of the following is a true statement about the rhombus shown

Answers

Answer:

⟨SPQ= 90°

Step-by-step explanation:

sides of rhombus are perpendicular to each other

carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?

Answers

Answer:

Rocco mowed 1 lawn a week.

Step-by-step explanation:

If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.

Thus Rocco mowed 1 lawn a week.

If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?

Answers

Answer:

No

Step-by-step explanation:

30% of $75 is $22.50 (0.3×75=22.5)

$75+$22.50=$97.50, not $100

So, the store did not mark up the price by 30% because the original price ($75) plus 30% more does not equal $100.

Answer:

no

Step-by-step explanation:

A ferris wheel
completes one
rotation in 495
seconds. How many
seconds will it take
to make 25
rotations?

Answers

Answer:

12375

Step-by-step explanation:

one rotation: 495

25 rotations x 495 seconds

12375  seconds

Answer:

12, 375

Step-by-step explanation:

Multiply

which of the following is a quadratic function?

Answers

Answer:

A

Step-by-step explanation:

Y = ax2 +bx + c


Find the area of the polygon below.

Answers

Answer:

assuming each square equals 1 the answer would be 29

HELP FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

Step-by-step explanation:

 U bot. Nub

Madeline took friends out for
dinner. The cost of the meal
was $64.50. She left a 20%
tip. What was the total cost
including tip?

Answers

Answer: First you have to take 20% and make it into a fraction 1/5.

Then you multiply 46.5 and multiply it by 1/5 and get 9.3

Add $46.50 and $9.30 and get $55.80

Step-by-step explanation: Hope this helps!! <3

Sharon uses 1 1/2 cups of sugar to make 2 batches of cookies. How much sugar will she use to make 6 batches of Cooke’s?

Answers

Answer:

8 Batches

Step-by-step explanation:

Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.

Summer Earnings Jobs Hours Worked Earnings 6 Mowing Yards Delivering Newspapers Washing Cars $42 4 ney, in dollars and cents, did Kamron earn per hour for mowing yard +/-​

Answers

Answer:210

Step-by-step explanation:2+1+0=210 ✨

Equivalent expressions
Which expressions are equivalent to 4(4a + 5) ?
Choose 3 answers:
16a + 5
16a + 20
12a + 20 + 4a
© 2(8a + 10)
© 16a +5+4

Answers

Answer:

16a + 20

12a + 20 + 4a

2(8a+10)

Step-by-step explanation:

Determine the y-intercept of the following equation.
(x + 4)(x + 2) = y

Answers

Answer:

Y intercept=(0,8)

Step-by-step explanation:

y=x(2)+6x+8
That x(2) mean x to the power of 2

Work out the value of x+y multiplied by z if x=3/5 ....

Answers

Answer:

1.056

Step-by-step explanation:

Because 2 4/5+ 3/5= 3 1/5

3 1/5 as a decimal is, 3.2

3.2× .33= 1.056

The equation 5w+16=61 models how many weeks, w, it takes a puppy to reach a weight of 61 ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach 61 ounces?

Answers

Answer:

9 weeks

Step-by-step explanation:

5 x 9= 45

45+16=61

5x9+16=61

A scooter travels 30 feet in 2 seconds at a constant speed.

Answers

Answer:

The scooter is going faster.

Step-by-step explanation:

30/2 = 15ft/s

55/4 = 13.75ft/s

(the question was cut off so I used the information I had) Hope this helped!

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