Mathematics College

what appear to be the next two terms in this sequence
18, 24, 32, 128/3.....

Answers

Answer 1

Answer: 512/9 and 6,144/81

Step-by-step explanation:

The sequence is:

18, 24, 32, 128/3, ...

Now, is easy to see that it is not an arithmetic sequence, so we can jump to see if this is a geometric sequence.

To see this, we must see at the quotient of two consecutive numbers in the sequence, and that quotient must be the same for any pair of consecutive elements.

24/18 = 1.33...

32/24 = 1.33...

(128/3)/32 = 1.33....

The quotient is constant, then this is a geometric sequence.

Then we can write the n-th term as:

Aₙ = Aₙ₋₁*1.33...

And we first should write 1.33 in a way that is easier to use:

1.33... = 1 + 0.33...

The left side can be writen as:

0.33... = 0.33...*(10/10) = (3.3.../10)

Now we can subtract the initial number:

(3.33..../10) - 0.33... = 3/10 = 0.33...*(9/10)

0.33... = (3*10)/(9*10) = 30/90 = 3/9

then we have:

1.33... = (1 + 3/9) = (9/9 + 3/9) = (12/9)

Then the two next terms are:

(128/3)*(12/9) = 128*4/9 = (512/9)

And the next term is:

(512/9)*(12/9) = (6,144/81)

Then the first six terms are:

18, 24, 32, 128/3, 512/9, 6,144/81

Related Questions

pls help math 15 points

Answers

3 x's at 1

4 x's at 1 1/4

3 x's at 1 1/2

1 x at 1 3/4

No x's at 2.

Now, let's combine all the recipes with 1 1/4

5/4 * 4 = 20 / 4 = 5 teaspoons

21 +3+ (3 x 9) * 9+5

Answers

Answer:

272

Step-by-step explanation:

Do you need this?

Answer:

272

Step-by-step explanation:

which property is illustrated?
3. (8 + 0) = 3.8

Answers

I have no clue but I just want the thanks

HELP What is the perimeter of this rectangle?

Answers

Answer:

7×2=14 (for the long side)5×2=10 (for the short sides) the you add up the two answers 14+10=24

Length = 5
Width = 7
Perimeter = 24
Formula = P = 2(L*W)

Brian can type 1 and one-third pages every 20 minutes. How many pages can he type in 2.5 hours? 7.5 pages 10 pages 22.5 pages 200 pages

Answers

Answer:

10 pages

Step-by-step explanation:

1 and 1/3 pages multiplies by 7.5 brings us to the answer of ten pages

20 minutes goes into 2 and 1/2 hours 7.5 times

10 pages i did this on edge

2020 hope this helps

your welcome =)

Michael spent $18 at a local farmers’ market. Apples cost $2 each and peppers cost $3 each. Select the equation that represents the scenario. O) p = 2a + 3a + 18 O) 2a + 3a = 18p O) 2p + 3a = 18 O) 2a + 3p = 18

Answers

Answer:

its B, C and E

Step-by-step explanation:

on edge

Answer:

2a + 3p = 18

Step-by-step explanation:

The total has to equal 18 so then you have $2 and $3. Apples cost $2 so the 2 should have an a for Apples. The peppers cost $3 so the 3 should have a p for peppers. So the equation would be 2a + 3p = 18.

how would i simplify this?

Answers

What’s the numbers to simply it?

What is the scale factor from Figure 1 to Figure 2?

Answers

You think I know when you don’t show it?
No image included :(

What is the absolute value of 3.4? A) 3.4 B) -3.4 C) -34 D) -4

Answers

The absolute value of 3.4 = 3.4

The absolute value of something is always positive.

The answer is A

Answer: A. 3.4

Step-by-step explanation:

Concept:

Absolute value is the distance from a number to zero. Distance is always positive, so absolute value of any number is positive. Absolute value is often written as ( |x| ).

| -3 |=3, the distance from -3 to 0 is 3 units| 3 |=3, the distance from 3 to 0 is 3 units

Solve:

| 3.4 |=3.4

11-3(a-2)=27 HELP PLZ

Answers

Answer:

a==3.3  a=-3 1/3  a=-10/3

all of those are different possible answers

Step-by-step explanation:

MAYBE THIS IS EASY BUT I STILL DOMT GET IT :c

Answers

Answer:

What's the question???

Answer:

Cool can you give me brainliest

Step-by-step explanation:

S = 4LW + 2WH; S = 168, L = 8, W = 4

H=

Answers

Answer:

h=5

Step-by-step explanation:

give an example to show that subtraction does not follow the associative rule

Answers

(6 - 2) - 1 = 4 - 1 = 3

6 - (2 - 1) = 6 - 1 = 5

The associative rule doesn't work for subtraction because you get different results when you move the parentheses.

PLS HELP!! ITS URGENT!!! SHOW YOUR WORK PLEASE

Answers

Answer:

x = 6, y = 8

Step-by-step explanation:

First, we need to find the scale factor from the smaller polygon to the larger polygon. To do this, we can calculate 18 / 12 which is 1.5. Therefore, we can write the following equations:

x · 1.5 = 9 → x = 6

y · 1.5 = 12 → y = 8

find the domain of the function, picture included

Answers

Answer:

[4,∞)

Step-by-step explanation:

x≥4

[4,∞)

Determine the range and injective of the function.

j(x) = -x - 1

Answers

Answer and Step-by-step explanation:

Solution:

Range:

Let f(x) = -x-1

                        Here a=0 and b= -1, x=-b/a

Put the values, we get

       X= - (-1)/0 = infinity

Hence the range of the function f(x) = (-∞, ∞)

Injective:

A function is said to be injective if f(x1) = f(x2), gives x1=x2

Let f(x1) = -x1-1

 f(x2) = -x2-1

 f(x1) = f(x2)

i’m not sure if this is right??

Answers

Answer:

I think its right

Step-by-step explanation:

thats what I got too

Which single transformation can be applied to the graph of y = 72Vx to produce the graph of y = 9Vx?

Answers

Answer:

Horizontal compression

Step-by-step explanation:

Just took a test

Answer: horizontal compression

Step-by-step explanation:

Edge

Solve the equation.
1/4x-9=3/8x
Select the correct choice below and fill in any answer boxes in your choice.
A. The solution set is . ​(Simplify your​ answer.)
B. There is no solution.

Answers

Hope you liked that.

Find the missing length, X.
Find the missing length

X= [ ] in

Answers

33 in corresponds with the 11 in side

33 in / 11 in = 3

The scale factor is 3

24 in / 3 = 8 in

x = 8 in

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides will be in same ratio.

[tex]\frac{33}{11}=\frac{24}{x}[/tex]

Cross multiply,

33*x = 24 * 11

[tex]x=\frac{24 *11}{33}\\\\x=\frac{24*1}{3}\\\\x = 8 in[/tex]

by ignoring your real intersets when choosing a career,you risk spending your work life feeling bored, and dissatisfied.
A. intrigued
B. content
C. elated
D. frustrasted

Answers

Answer: D because it would mess with your feelings

I would put the answer as D.

what is 70-30+12 then divided by 20

Answers

Answer:

2.6

Step-by-step explanation:

First you subtract and get 40 and then you add the 12 which gets 52 and then you divide it by 20 and get your 2.6

Answer:

Step-by-step explanation:

40.6 hope it helps

132891 round the nerast hundred

Answers

Pretty sure that 132,891 rounded to the nearest hundred is 132,900

given f(7)=4, f'(7)=10, g(7)=-1, g'(7)=8, find the values of the following: 1. (fg)'(7) = 2. (f/g)'(7) =

Answers

By the product rule,

[tex](fg)'=f'g+fg'[/tex]

so that

[tex](fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22[/tex]

By the quotient rule,

[tex]\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}[/tex]

so that

[tex]\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42[/tex]

Find two consecutive integers whose product is 12.

Answers

Answer:

3 and 4

Step-by-step explanation:

Look at the factors of 12 and list them out

1 and 12

2 and 6

3 and 4

Find the 2 numbers that are consecutive

3 and 4

how do you multiply a fraction with a mixed number

Answers

Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.

Step-by-step explanation:

By multiply fraction  by a mixed fraction you will have to rewrite the mixed number as an improper fraction.

For example ,

1  1/2  is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.

Which of the following steps should be completed first when simplifying ?

Answers

answer: combine like terms

Answer:C

Step-by-step explanation:


Austin removed 16 fish from his pond over a period of 2 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?

Answers

Answer:

-8

Step-by-step explanation:

if he took out the same number of fish each day then it would be 8 a day resulting in a decrese of 8 fish a day.

10. The weight of an object on a particular scale is 125.2 lbs. The measured weight

may vary from the actual weight by at most 0.4 lbs. What is the range of actual

weights of the object?

A. 124 8 2 x 2 125.6

B. 124.8 2 x 125.6

C. 124 8 5 x 125.6

D. XS 124.8 or x 21256

Answers

Given :

The weight of an object on a particular scale is 125.2 lbs.

The actual weight by at most 0.4 lbs.

To Find :

The range of actual  weights of the object.

Solution :

It is given that uncertainty in weight is 0.4 lbs.

So, minimum weight can be( 125.2 -0.4 ) = 124.8 lbs.

Maximum weight is given by  ( 125.2 + 0.4 ) = 125.6 lbs.

Therefore, the range of actual  weights of the object is between :

124.8  x 125.6 .

Hence, this is the required solution.

Is this correct? Please let me know

Answers

Answer:

Step-by-step explanation:

i think yes

Yes the answer is correct
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