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

Which value is equivalent to the expression 4^5

Answers

Answer:

20

Step-by-step explanation:

Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?

Answers

Answer:

The original amount was: P = $800

Step-by-step explanation:

Given

Interest I = $22.40

Interest rate = r = 2.8% = 0.028

time t =  1 year

Using the interest formula

I = Prt

I = InterestP = Principle or initial valuer = interest rate t = time (years)

substituting the values

I = Prt

22.40 = P (0.028) (1)          ∵ I = 22.40, r = 2.8% = 0.028, t =  1

P = 22.40 / 0.028

P = $800

Therefore, the original amount was: P = $800

it's D (800.00)

HAVE A NICE DAY

Maggie goes to a clothing store to shop for t-shirts. The store is having a sale on t-shirts for 25% off each shirt. She purchases 5 t-shirts that were regularly priced at $22. What was the total the store charged her with the discount, but before tax?

Answers

$109.75

Because 22-5% x 5 is 109.75

Answer:

A

Step-by-step explanation:

For a Biology assignment, Lisa collected data on plant growth of a sunflower every week for 9 weeks. When Lisa first planted the sunflower, it was 10 centimeters tall. The time (in weeks) is plotted against the height (in centimeters) as shown below. Using the best-fit line, approximately how tall was the sunflower plant during the fifth week? 33 centimeters 34 centimeters 35 centimeters 30 centimeters

Answers

Answer:

I think it was 34 cm because it should be not too long

Step-by-step explanation:

this is from my logic perspective

korinn fills 1/6 of a water bottle in 1/4 of a minute. how much time, in minutes, does it take her to fill the bottle​

Answers

Answer:

1.5 minutes to fill a whole bottle.

Step-by-step explanation:

1. Based on the given information, set up a proportion;

Given;

1/6 of a bottle was filled in 1/4 minute

Equation;

1/6 : 1/4

2. Solve the equation;

1/6 : 1/4

Multiply both sides by 6, to make it such that the whole bottle is filled,

1/6 : 1/4

*6     *6

1 : 6/4

Simplify

1 : 3/2

1.5 minutes to fill a whole bottle.

circle two digits that should be switched places to make this sequence correct.
3/7>0.45>43%​

Answers

Answer:

all of them need to be switched

Explanation:

0.45>43%>3/7

Determine whether the functions f(x) = -7/5x +4/5 and g(x) = x – 4 intersect at x = 2.

A.No, because f (2) #g(2) when r =
B. No, because f (0) = 9(2) when I = 2.
C. Yes, because f(x) + 9(2) when r = 2.
D. Yes, because f(x) = 9(2) when I = 2.​

Answers

Answer:

D. Yes, because f(x) = g(x) when x = 2.​

Step-by-step explanation:

Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2

-7/5x +4/5= x- 4

If x = 2

f(2) = -7/5 (2)+ 4/5

f(2) = -14/5 + 4/5

f(2) = -10/5

f(2) = -2

g(x) = x - 4

g(2) = 2-4

g(2) = -2

Since f(2) = g(2), hence the lines intersects at x = 2

Answer:  abidemiokin is ritgh

Step-by-step explanation:

Find the perimeter of a rectangle whose length is 4√5 and width is 3√7

Answers

Answer:

if you don't have a calculator you can just put the number under the radical like this

Step-by-step explanation:

4 * 3 * [tex]\sqrt{5 * 7}[/tex]

12[tex]\sqrt{35}[/tex]

this answer might be what a teacher is looking for.. b/c it's exact but... if you were needing to do real work.. you'll just need a close approximation,  then

12* 5.916....

70.99  is a close approximation

HELP ME I NEED HELP WITH THIS!?!?! I WILL MARK BRAINLIEST!!!

Answers

Answer:

The answer is -70

Step-by-step explanation:

How I got the answer.....

-21-49 = -70

Hope this helps! :)

Is this a function or not a function

Answers

Answer:

It is a function

Step-by-step explanation:

A function states that you must have one output every one input and this is done but with the same output.

What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
and a base diameter of 6 centimeters? Round to the nearest tenths place

Answers

Answer: V = 311.0

Step-by-step explanation:

Formula: [tex]V = \pi r^2h[/tex]

[tex]V=\pi (3)^2 (11)[/tex]

[tex]V=99\pi[/tex]

V = 311.02

V = 311.0

Help me out here pleaseeeeee

Answers

Answer:

C

Step-by-step explanation:

please help me im very behind​

Answers

Answer:

I think its d. a13=23

Plz correct me If I am wrong  

Step-by-step explanation:

You’ve learned to identify whether a function is even or odd both graphically and algebraically. How does the notation for reflections over the x-axis and over the y-axis relate to the notation for even and odd functions? Remember that if f(-x) = f(x), a function is even, and if f(-x) = -f(x), then the function is odd.

Answers

Answer:

Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.

Step-by-step explanation:

Hope this helps!!!

Answer:

For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.

For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).

Step-by-step explanation:

(WILL GIVE BRAINLIEST, TIMED) - Suppose z = cos(2pi/3)+isin(2pi/3) . What is z^4?

Answers

Answer:

B

Step-by-step explanation:

edge

Answer:

B. 1cos(8pi/3) + i sin(8pi/3)

Step-by-step explanation:

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Answers

Answer:

Step-by-step explanation:

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Given that:

Number of cards = 4

x = Black on both sides = 1

y = Red on both sides = 1

z = Black on one side, red on one side = 2

.i) If the side you see is black, what is the probability that the other side is black = b

Probability of black

P(x) = 1/4 ; p(b|x) = 1

P(y) = 1/4 ; p(y|x) =

Which of the following polnts is a solution of the Inequality y<-|x|?
(1,0)
(1,-2)
(1,-1) ​

Answers

Answer:

(1,-2)

Step-by-step explanation:

x = 1, y= -2

by sub.

-2<-1  so it's true

A members only speaker series allows people to join for $17 and then pay $1 for every event attended. What is the maximum number of events someone can attend for a total cost of $98?

____events​

Answers

Answer:

82

Step-by-step explanation:

98-17=81+1=82

The graph of function g is a parabola with the vertex located at (5,9). The parabola also passes through the point (3, 1). Which of the following is an
equation in vertex form for this function?

Answers

I just did this the answer is C. g(x) = –2(x – 5)2 + 9

The required function is [tex]g(x)=-2(x-5)^2+9[/tex].

Important information:

Vertex of parabola is at (5,9).Parabola passes through the point (3,1).

We need to find the equation in vertex form for the function g.

Parabola:

The vertex form of a parabola is:

[tex]g(x)=a(x-h)^2+k[/tex]         ...(i)

Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.

Substitute [tex]h=5,k=9[/tex] in (i).

[tex]g(x)=a(x-5)^2+9[/tex]          ...(ii)

Parabola passes through the point (3,1). So, substitute [tex]x=3,g(x)=1[/tex] in (ii).

[tex]1=a(3-5)^2+9[/tex]

[tex]1-9=a(-2)^2[/tex]

[tex]-8=4a[/tex]

[tex]-2=a[/tex]

Substitute [tex]a=-2[/tex] in (ii).

[tex]g(x)=-2(x-5)^2+9[/tex]

Thus, the required function is [tex]g(x)=-2(x-5)^2+9[/tex].

Find out more about 'parabola' here:

https://brainly.com/question/15165354

Solve for x. Triangles below are similar.

a) 13
b) 10
c) 4
d) 3

Answers

Answer:

the answer is 4 (option C)

Step-by-step explanation:

Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.

therefore, the equation forms:

13x + 3 = 55

13x = 55 - 3

13x = 52

x = 52/13

x = 4

Which of the following expressions is equivalent to the expression 42+90?
A. 6(7+14)

B.6(7+15)

C.7(6+12)

D.6(36+84)

Answers

It is b
6*7=42 and
6*15=90

Answer:

B

Step-by-step explanation:

42 + 90 = 132 > 6(7+15) > 6*22=132 > 6(7 + 15)= 132

Solve for g .

g + (-5) = 27

g =

Answers

g -5 = 27

g -5 + 5 = 27 + 5

g = 32

Final Answer: [tex]g = 32[/tex]

Steps/Reasons/Explanation:

Question: Solve for [tex]g[/tex]. [tex]g + (-5) = 27[/tex]. [tex]g[/tex] = ?

Step 1: Remove parentheses.

[tex]g + -5 = 27[/tex]

Step 2: Simplify [tex]g + -5[/tex] to [tex]g - 5[/tex].

[tex]g - 5 = 27[/tex]

Step 3: Add [tex]5[/tex] to both sides.

[tex]g = 27 + 5[/tex]

Step 4: Simplify [tex]27 + 5[/tex] to [tex]32[/tex].

[tex]g = 32[/tex]

~I hope I helped you :)~

Find the difference.
(-29+7) – (9+11) = 0

Answers

Answer:

Step-by-step explanation:

lets remove the parenthesis

-29+7-9-11=-42

Answer:

-42

Step-by-step explanation:

(-29+7)= -22

(9+11) = 20

-22-20= -42

Please help if possible due today thank you so so much!!
10points!❤️❤️❤️



A teacher asked her students how many pets they own. Here are the results:

Answers

It’s B, B is the answer

The answer would be B. In the sequence;

0,0,1,1,1,1,2,2,2,3,4,4,8

Zero is mentioned twice, and if you take a glance at the other plots, they all have 3 dots above them, whereas answer choice B has 2 which is what we’re looking for.

SECTION 2-4
Convert hex number 743
to its decimal equivalent.

Answers

743₁₆ = 7 • 16² + 4 • 16¹ + 3 • 16⁰

743₁₆ = 1792 + 64 + 3

743₁₆ = 1859

please help!! i need someone to write me an equation for this please!

Answers

It could be 30° - 3d ≤ 20° in my opinion

Which of the following is closest to 1?


9/8
11/10
10/9
4/5
6/7

Answers

the second one is the correct answer

Which of the following expressions is equal to -3x^2-12?

Answers

Answer:

The answer is (-3X+6i)(x+2i)

Step-by-step explanation:

You can do this by plugging in the answers in the equations and get that (-3x+6i)(x+2i) equals the following expression.

neeeeddd helppp asap

Answers

The answer is 72!

The easy way to do it is Just divide 360 from 5 because that’s the amount of times you turn it ...

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:

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