Use inductive reasoning to describe the pattern of the sequence. Then find the next two terms. 6, 24, 96, 384, ...

A. Multiply by 3; 672, 960.

B. Multiply by 4.5; 402, 420.

C. Multiply by 4; 1536, 6144.

D. Multiply by 3.5, 576, 764.​

Answers

Answer 1

Answer:

1536 and 6144

Step-by-step explanation:

you are multiplying by 4

I hope this helps you to understands better

Answer 2

The next two-term of the sequence is 1536 and 6144 and the multiplicity is 4

Given the sequence of numbers expressed as 6, 24, 96, 384, ...

The given sequence is a geometric sequence. The nth term of the sequence is expressed as;

[tex]T_n = ar^{n-1}[/tex]

a is the first term

r is the common ratio or multiplicity

n is the number of terms

Given the following parameters

a = 6

r = 24/6 = 96/24 = 4

n = 5 and 6 (5th and 6th term)

For the fifth term;

[tex]T_{5} = 6(4)^{5-1}\\T_5=6(4)^4\\T_5 = 1536[/tex]

For the sixth term;

[tex]T_{6} = 6(4)^{6-1}\\T_6=6(4)^5\\T_6 = 6144[/tex]

Hence the next two-term of the sequence is 1536 and 6144 and the multiplicity is 4

Learn more here: https://brainly.com/question/9300199


Related Questions

Help!!! I need the answer!!

Answers

Answer:

Step-by-step explanation:

3/4a>-16=

a >- 64/3 or -21  1/3

Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling 5-day packs for $275.60. Grand Mountain is selling 3-day packs for $174.75. Which mountain offers the better deal?

Answers

Answer: Peak Point offers the better deal.

Step-by-step explanation:

To find which has the best price, we need to know the cost for one day at each mountain. To do this, we would divide the cost of each pack by the number of days it pays for, so

$275.60/5 days

and $174.75/3 days.

Peak Point costs $55.12 per day while Grand mountain costs $58.25 for each day. This shows that Peak Point clearly has the better deal, costing $3.13 less for every day included in the pack.

what is the domain of g?​

Answers

Answer:

(4,-5) is the answer

hope it helps you!!!!!!!

Step-by-step explanation:

.

Answer:

actual answer

Step-by-step explanation:

4(3xy^4)^3/(2x^3y^5)^4

Answers

Answer:

[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]

Step-by-step explanation:

Given the expression

[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]

solving the expression

[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=4\cdot \:\frac{\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]

             [tex]=4\:\frac{27x^3y^{12}}{16x^{12}y^{20}}[/tex]

              [tex]=4\cdot \frac{3^3}{2^4x^9y^8}[/tex]

The multiply fractions are defined as

[tex]\:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

so the expression becomes

                [tex]=\frac{3^3\cdot \:4}{2^4x^9y^8}[/tex]

                [tex]=\frac{3^3\cdot \:2^2}{2^4x^9y^8}[/tex]

                [tex]=\frac{3^3}{2^2x^9y^8}[/tex]

Refining

                 [tex]=\frac{27}{4x^9y^8}[/tex]

Therefore,

[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]            

7th grade math need asap. Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?

Answers

Answer:

5 Laps

Step-by-step explanation:

The question says that she runs the same distance everyday. This shows us that...

2 laps on a running trail and 6 more miles = 4 laps on a running trail and 2 more miles

We can turn laps into the variable L and miles into the variable M to create an equation

2 L + 6 M = 4 L + 2 M

We can start by subtracting 2 M from both sides to get:

2 L + 4 M = 4 L

Now, we can subtract 2 L from both sides

4 M = 2 L

This tells us that 2 laps are 4 miles which means that 1 lap is 2 miles.

Now, we can break down either side of the equation. Let's break down

2 L + 6 M

First, we can turn the miles into laps. We know that 2 miles is one lap so we can divide 6 by 2. Our Equation:

2 L + 3 L

Now, we can simplify this :

5 L

Now we know that she ran 5 laps on saturday.

Hope this Helps!!! :)

Let me know in the comments if this answer was perfect or if I should change anything!!!

Substitute the given values into the formula, and solve for the unknown variable.
1
A= 2h(B+b); A=44, B = 2, b= 9
h=

Answers

Step-by-step explanation:

44 = 2 * h * 11

44 = 22 * h

divide 22 on both sides, and you get the answer

2 = h

A = 2h(B + b)

Disregard my first reply.

Here is the math work.

44 = 2h(2 + 9)

44 = 4h + 18h

44 = h(4 + 18)

44/(4 + 18) = h

44/22 = h

Divide top and bottom by 11.

4/2 = h

2 = h

Done!

1

Steve saw 313 birds during a bird-watching trip to Yellowstone National Park. He observed 15 more trumpeter swans than sand-hill cranes. He saw twice as many mountain chickadees as dusky grouses. How many birds of each type did Steve observe if he saw half as many trumpeter swans as dusky grouses?

Answers

Answer:

trumpeter swans = t = 41

sand-hill cranes = s = 26

chickadees = c = 164

dusky grouses = d = 82

Step-by-step explanation:

Total birds = 313

Let

trumpeter swans = t

sand-hill cranes = s

chickadees = c

dusky grouses = d

t = 15 + s

c = 2d

d = 2t

t + s + c + d = 313

(15+s) + s + 2d + d = 313

15 + s + s + 2(2t) + 2t = 313

15 + 2s + 4t + 2(15+s) = 313

15 + 2s + 4(15 + s) + 30 + 2s = 313

15 + 2s + 60 + 4s + 30 + 2s = 313

105 + 8s = 313

8s = 313 - 105

8s = 208

s = 208 / 8

= 26

s = 26

t = 15 + s

= 15 + 26

= 41

d = 2t

d = 2(41)

= 82

c = 2d

c = 2(82)

= 164

trumpeter swans = t = 41

sand-hill cranes = s = 26

chickadees = c = 164

dusky grouses = d = 82

what is the vertex of the parabola using this equation y=-x^2+4x+5

Answers

Answer:

             (2, 9)

Step-by-step explanation:

[tex]y=-x^2+4x+5\quad \implies\quad a=-1\,,\ b=4\,,\ c=5\\\\h=\dfrac{-b}{2a}=\dfrac{-4}{2(-1)}=2\\\\k=c-\dfrac{b^2}{4a}=5-\dfrac{4^2}{4(-1)}=5-\dfrac{16}{-4}=5+4=9[/tex]

Or by completing the square:

[tex]y=-x^2+4x+5\\\\y=-(x^2-4x)+5\\\\y=-(\underline{x^2-2\cdot x\cdot 2+2^2}-2^2)+5\\\\y=-\left((x-2)^2-4\right)+5\\\\y=-(x-2)^2+4+5\\\\y=-(x-2)^2+9\quad\implies\quad h=2\,,\ k=9[/tex]

Steven has 10 1/4 pages of homework. If he finishes 2 1/2 pages every ten minutes, how many pages will Steven have left after 10 minutes?

A. He has completed all pages of homework.
B. 12 3/4 pages
C. 7 3/4 pages
D. 2 1/2 pages

Answers

Answer: 7 3/4

Step-by-step explanation:

From the question, we are informed that Steven has 10 1/4 pages of homework and that he finishes 2 1/2 pages every ten minutes.

The number of pages that Steven will have left after 10 minutes will be:

= 10 1/4 - 2 1/2

= 7 3/4

He'll have 7 3/4 pages left

Three less than “x” is equal to 13.

Answers

Answer:X=16

Step-by-step explanation:

16-3=13

Answer:16

Step-by-step explanation:16-3=13

Solve using the quadratic formula: 5x2 + 5x = -5​

Answers

Answer:

The second option is the correct one.

Because includes -5 and ( i ) in it
What they said I’m just to lazy to type

Wilfred is feeding his goats. He gives 56% of the bag of feed to the goats in field A and the rest to the goats in field B. If the bag has 21kg of feed, how much do the goats in field A get?

Answers

Answer:

[tex]Feeds = 11.76kg[/tex]

Step-by-step explanation:

Given

[tex]Field\ A= 56\%[/tex]

[tex]Field\ B= The\ rest[/tex]

[tex]Bag = 21kg\ feed[/tex]

Required

Determine how much goats in field A, get.

To do this, we simply multiply the percentage feed received by goats in field A by the actual bags of feeds

i.e.

[tex]Feeds = 56\% * 21kg[/tex]

Convert percentage to decimal

[tex]Feeds = 0.56 * 21kg[/tex]

[tex]Feeds = 11.76kg[/tex]

Hence, goats in field A get 11.76kg of feeds

Someone help me with this please

Graph y = 5/3x - 9

Answers

Answer:

The answer is in the attached screenshot

the Y intercept is 9

the slop is 5/3

hope this helps.

Step-by-step explanation:

May I have brainliest please? :)

Answer:jdjej

Step-by-step explanation: so u can give him brainliest

5x+4=x+44 solve for x​

Answers

Answer:

x=10

Step-by-step explanation:

hope this helps

5x = x + 44 - 4

5x = x + 40

5x - x = 40

4x=40

x=40/4

x = 10

This homework is really confusing me. PLEASE HELP SOON. i also haven't been able to understand this topic that well so if someone could explain some stuff that would be good

Answers

I've been having some problems too

:/

Which of the following represents the graph and y-intercept of the function 3x + y = -2?

Answers

It’s going to be something like this

HELP! I’m not even ahlf way doen!

Answers

i think the answer is the second one

Planet Fitness charges a $5 per month plus a
one-time membership fee of $60.
a.) Write a linear equation for the situation
where x is the number of months and y
is the total cost.
b.) How many months have passed if you
paid $114? SHOW ALL WORK.

Answers

a). 60=12x-5
y=mx+b -formula
The total cost is $60. There are 12 months in a year. $5 is the charge per month
b). $5 per month. $144/$5 =$28.8

Divide. Reduce the answer to lowest terms.

3/4 ÷ 1/3

Answers

Answer:

when dividing fractions folow these steps:

first, you need to switch the denom and num of the second fraction:

3/4 ÷ 1/3---> 3/4 ÷ 3/1

Next you just switch the sign of the negative to a multiplication sign and multiply:

3/4 ÷ 3/1---> 3/4 x 3/1

3/4 x 3/1 -----> 9/4

9/4, 2 1/4 - these are your answers. Either are correct

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next

Answers

Answer:

Matching the population trend to a contributing factor:

Contributing Factors                                                 Population Trends

government-sponsored family control programs    Low birth rate

agricultural economies                                              increase in food supply

medical advancements                                             low death rate

Industrial Revolution                                                 high birth rate

Step-by-step explanation:

a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.

b) Defining population trends:

1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.

2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.

3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.

4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.

Answer:

The first one is children and adolescents

the second one is adults

the third one is pregnancy

the last one is indivisuals with brittle bones

Step-by-step explanation:

hope this helps :D

determine the equation of the quadratic function represented by the table of values below: x -4 -3 -2 -1 0 1 y -20 -13 -8 -5 -4 -5​

Answers

Answer: y = -1*x^2 - 4

Step-by-step explanation:

A generic quadratic equation is written as:

y = a*x^2 + b*x + c

we need to find the values of a, b, and c

We have the table:

x     y = f(x)

-4     -20

-3       -13

-2        -8

-1         -5

0         -4

1          -5

In the table we can see two things:

y(0) = a*0^2 + b*0 + c = c = -4

Then we know that:

y(x) = a*x^2 + b*x - 4

Now we only need to find a and b.

We also can see that we have symmetry around the point x = 0, this means that x = 0 is the vertex of the quadratic equation, and for a general case the vertex is at:

x = -b/2a

and this is equal to zero:

-b/2a = 0

then we must have b = 0.

So for now, the equation is:

y = a*x^2 -4

Now we can just replace the values of any of the points to find the value of a, for example we can use the point (1, -5)

this means that:

y = -5 = a*1^2 - 4

    -5 = a - 4

    -5 + 4 = a

        -1 = a

Then the quadratic equation is:

y = -1*x^2 - 4

In the first week of​ July, a record 1,060 people went to the local swimming pool. In the second​ week, 100 fewer people went to the pool than in the first week. In the third​ week,140 more people went to the pool than in the second week. In the fourth​ week, 146 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

Answer:

there was a total of 954 people at the pool

Step-by-step explanation:

Answer: 246

Step-by-step explanation:

What's the gcf of 47 and 17

Answers

Answer:

The GCF of 47 and 17 is 1

Step-by-step explanation:


If f(y) = 2y - 2/5,
what is f(f^-1(1024))?

Answers

Answer:

-0.399

Step-by-step explanation:

f^-1(1024)=(2*1024-2/5)^-1= 0.000488

f(0.000488)=2*0.000488-2/5= -0.399

PLEASE HELP i don’t understand

Answers

Answer:

29.7

Step-by-step explanation:

y = 2.7x + 2.7

y = 2.7(1) + 2.7 = 5.4

y = 2.7(2) + 2.7 = 5.4 + 2.7 = 8.1

y = 2.7(3) + 2.7 = 8.1 + 2.7 = 10.8

y = 2.7(4) + 2.7 = 10.8 + 2.7 = 13.5

y = 2.7(10) + 2.7 = 27 + 2.7 = 29.7


What is the value of y?

Answers

Answer:

Step-by-step explanation:

(12,5)

45*

For this we’ll only use the top most angles.
We have a straight across line, which is equal to 180*.
That is then cut in half making it a 90* shown by the box.
That makes the others side 90* before it’s cut.
Then it’s cut in half. 90/2=45

45*

4/6 + 1/12. Quick answer.

Answers

nvm lol 3/4( had to redo

What is the slope of the line that
passes through these two points?
(-3, 2)
(4, 2)
Remember, Slope
rise (y2-yı)
run (x2-x1)
Simplify your answer completely.

Answers

Answer:

The line has a slope of zero which means the line is a horizontal line.

Step-by-step explanation:

Given that:

The two points are (-3,2) and (4,2)

Slope of a line is given by the formula,

[tex]m = \frac{Rise}{Run} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Here,

[tex]x_{1}=-3,\ y_{1}=2\\x_{2}=4,\ y_{2}=2[/tex]

Putting these values in formula;

[tex]m=\frac{2-2}{4-(-3)} \\m = \frac{0}{4+3}\\m = \frac{0}{7} = 0[/tex]

Hence,

The line has a slope of zero which means the line is a horizontal line.

Divide. Reduce the answer to lowest terms.

14/3 ÷ 4

Answers

Answer:

Work shown below!

Step-by-step explanation:

[tex]\frac{14}{3}[/tex]   ÷   [tex]\frac{4}{1}[/tex]  = [tex]\frac{14}{3}*\frac{1}{4} = \frac{14}{12}=\frac{7}{6}[/tex]

Answer:

the correct answer is 1 1/6

What is the length of side BC of the triangle?



Enter your answer in the box.

units

Answers

the length of bc is 72

Answer:

BC is 28

Step-by-step explanation:

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