the first four numbers in a pattern are 4, 2, 1, and 0.5. Find the next three numbers in the pattern.​

Answers

Answer 1

Given:

The first four numbers in a pattern are 4, 2, 1, and 0.5.

To find:

The next three numbers in the pattern.​

Solution:

We have a pattern,

4, 2, 1, 0.5

Clearly, it is a GP and the common ratio is [tex]\dfrac{1}{2}[/tex] because each term is half of its preceding term.

Next term after 0.5 = [tex]0.5\times \dfrac{1}{2}=0.25[/tex]

Next term after 0.25 = [tex]0.25\times \dfrac{1}{2}=0.125[/tex]

Next term after 0.125 = [tex]0.125\times \dfrac{1}{2}=0.0625[/tex]

Therefore, the next three numbers in the pattern are 0.25, 0.125 and 0.0625 respectively.


Related Questions

Peter expected to earn $425 in a week. In fact, he earned $500. What was the percentage error? (Round to nearest percent)

Answers

Answer:

15%

Step-by-step explanation:

im almost certain its 15%

Need Help I'm A Good Person

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Answer:

C

Step-by-step explanation:

I think thats what they are saying anyway

Fill in the blank. If 9/24 =3/x , then x is .

Answers

Answer:

X=8

Hope I helped

Answer:

8

Step-by-step explanation:

Write it out: [tex]\frac{9}{24} = \frac{3}{x}[/tex]  Cross multiply, then divide: 3 × 24 = 72, 72 ÷ 9 = 8So, the blank is 8

I hope this helps!

Customers at an ice-cream shop took a survey. The results showed that 279 customers rates the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey ? Explanation plz

Answers

Answer:

620 customers

Step-by-step explanation:

Customers at an ice-cream shop took a survey.

Let the total number of customers who took the survey be represented by x

We are told in the question that:

The results showed that 279 customers rates the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey.

Hence:

45% of x = 279 customers

= 45/100 × x = 279 customers

45x /100 = 279

Cross Multiply

45x = 100 × 279

x = 27900/45

x = 620 customers

The total number of customers who took the survey is 620 customers

i need some help.. fraction: {5⁷}{5²}

Answers

Step-by-step explanation:

[tex]\dfrac{5^7}{5^2}\qquad|\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=5^{7-2}=5^5[/tex]

4 1/5 as improper fraction

Answers

Answer:

21/5

Step-by-step explanation:

21/5

4x5=20

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1) What type of slope is shown? *
negative
positive

Answers

The slope is positive. Hope this helps :)

Answer:

hi! so the way I do this is I hold my hand out and do a ninja chop! I know this is weird but it's helpful or you could remember right and left!

anyways your line is "chopping" or leaning right which means you use your right hand not your left to recreate this line right is positive!

so this would be positive if it was negative it would go to the left and if you're using your hand to "chop" like a knife then you would use your left hand because your line would lean to the left

not sure if the chop method works for everyone but you could always remember right is positve and left is negative

update: found this weird picture but this is basically what I mean when I say chop LOL

expanded form of (-p) ³​

Answers

Answer:

(- p) × (- p) × (- p)

Step-by-step explanation:

(-p)³

(- p) × (- p) × (- p)

PLEASEEE HELPPPPP!!!! у
Test Scores in Relation to Homework
2.
100
How would you characterize the relationship
between the hours spent on homework and
the test scores? Explain.
90
80
70
60
Test Scores
50
3. Draw a line of best fit on the graph.
40
4.
30
Based on your line, what is the likely test
score of a student who does not study for
the test?
20
10
0
1
2
3
8
9
4 5 6 7
Hours of Homework

Answers

Answer:

2. The more hours spent doing homework the better the test scores.

3. Just draw a line that runs through (1,50) (2,55) (3,60) (4,65)

4. Dunno

Step-by-step explanation:

Answer:

Number 4 would be 45%

Step-by-step explanation:

I needddd helppppp pleaseee

Answers

Answer:

51°

Step-by-step explanation:

Given f(x) = x2 + 5x + k, and the remainder when f () is divided by x – 8 is
93, then what is the value of k?

Answers

By the remainder theorem, the remainder upon dividing a polynomial p(x) by x - c is equal to p(c).

Here, p(x) = x² + 5x + k and c = 8, which gives

p (8) = 8² + 5•8 + k

93 = 64 + 40 + k

k = -11

Jenna gets an iTunes gift card for her birthday and decides to buy some games and some music the music she likes costs $1.99 per song and the games costs $0.99 each if she buys a total of 12 items and spends $18.88 how many of each item did she buy

Answers

Answer: 4 songs and 11 games

Step-by-step explanation:

Sorry if I’m wrong!

How do you write an equation in standard form given the slope and one point in the graph? For example, slope = 9 and (-5, 2).

Answers

Answer:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Step-by-step explanation:

hope this helps

guys i said it once but imma say it again i love lanie
also A school has 400 students. They all come to school by bus, and each bus carries the same number of students. How many students might there be on each bus?

Answers

4

Step-by-step explanation:

There are 400 students, and 100 buses, so number of student in each bus= 400/100

= 4

In triangle ABC, ∠A = 55°, ∠B = 75°. Which statements are correct? You must select all correct answers.

Side BC is the longest side
Side AB is the shortest side
Side AC is the longest side
Side BC is the shortest side

Answers

Answer:

AC is the longest side

AB is the shortest

Step-by-step explanation:

Generally, the side that faces the smallest angle has the smallest side while the side that faces the largest angle has the largest side

The measure of the third angle C is 180 - 55 -75 = 50

Kindly note that A faces BC

B faces AC

C faces AB

So while AC is the longest side, AB is the shortest

So the correct answers are;

AC is the longest side

AB is the shortest side

PLEASE HELP:( IF YOU HELP YOU ADD ONE MORE KINDNESS TO THE WORLD!

Answers

Answer:

the correct answer is the first one, you repeat 6 and 3

Step-by-step explanation:

Hope this helps <3

Answer:

the first one is your answer

Step-by-step explanation:

63 is repeating

help meeeeeeeeeeeeeeeeeeee​

Answers

Answer:

hm

Step-by-step explanation:

43.9
44.3
45.7
46.2
Are possible answers.

Answers

Answer:

44.3 would be the correct answer if I looked at it correctly

Can someone please help me?

Answers

Answer:

3.33×10^5 times

Step-by-step explanation:

Given

Mass of the Sun = 1.99×10^30Mass of the Earth = 5.97×10^24

The mass of the Sun is greater than the mass of the Earth times:

1.99×10^30 / 5.97×10^24 =19.9×10^29 / 5.97×10^24 =19.9/5.97×10^(29 - 24) = 3.33×10^5

Rate this app 1/10 and explain why

Answers

I don’t really like it. It caused me to not like math as much. 2/10

A wire is in the shape of square of side 12cm. if the wire is rebent into a
rectangle of length 14cm, find its breadth. Which figure encloses more area
and by how much?

Answers

Answer:

Breadth = 10 cm.

Difference in area = 4 cm^2 ( the square encloses more area).

Step-by-step explanation:

The perimeter  of the square = 4*12 = 48 cm.

If the length of the rectangle is 14 then

2*14 + 2b  = 48  where b is the breadth.

28 + 2b = 48

2b = 20

b = 10 cm.

A square encloses more area than a rectangle for a given length of wire.

Area  of the square = 12^2 = 144cm^2  and

area of the rectangle = 14*10 = 140 cm^2.

distance between orlando and jacksonville

Answers

2 hours and 4 mins or you can say 140.6 miles

Answer:

Its about 140 miles

Step-by-step explanation:

it takes slight over 2 hours to get from point a to b

How are 0.02 and 20 related

Answers

Answer:

No (unless you count them both being numbers then no!)

Step-by-step explanation:

Hope this helps! :)

20 is 1 tenth of 0.02. 20 is 1000 times 0.02.

Please help >.<

Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?

A right triangular prism is shown. The triangle has side lengths of 6 meters and 3 meters. The height of the prism is 2 meters.

A rectangular prism is shown. The rectangle has side lengths of 18 meters and 2 meters. The height of the prism is 3 meters.

A triangular prism is shown. The triangle has a base length of meters and a height of 3 meters. The height of the prism is 4 meters.

Answers

B. 2 18 3

Step-by-step explanation:

on edg

Describe the process for
graphing the equation
y – 4 = 2(x + 1)

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: 2

y-intercept: (0,6)

Step-by-step explanation:

X y

−3 0

0 6

Which of these expressions is equivalent to 0.03(x+80)?

A. 0.03x + 2.4

B. 0.03x + 80

C. 0.03x + 80.03

D. 0.03x + 24

Answers

Im not 100% sure, but I think the answer is A! Sorry, this probably wasn’t that helpful lol, have a nice day.

plz help ASAP
solve for x in
1. sin x = cos 2x
2. cos 2x = sin 3x
3. sin x = cos x​
thx

Answers

1. x = π/6 + 2πn/3, for any integer n

2. Is not possible to solve (I think)

3. x = π/4 + πn, for any integer n

(©) For the members of the golf club the ratio men:children = 11:2.
The ratio women:children = 10:3.
(1) Find the ratio men: women.

Answers

Answer:

33:20

Step-by-step explanation:

What is the interest on a loan of $2,500 that is borrowed at 9% for 7 months.

Answers

Answer:

$1575

Explanation:

Answer:

$131.25

Step-by-step explanation:

We'll need to review the simple interest formula for this:

I = P(1rt)

This is where P is the principal amount of money to be invested at an interest rate R% (put this in a decimal while calculating). The variable t is the amount of time in years.

Try to plug in these numbers and use my explanation as a checking tool. If you're having trouble, then no worries. Feel free to follow along :D

I = 2,500*(0.09)(7/12)

= 2,500 * 0.525

I = 131.25

So, the interest of a loan of $2,500 underneath those conditions is $131.25

Please let me know in the comments if anything is wrong. I'll be happy to update this answer!

Good luck and keep studying. I believe in you :D

Name the triangle congruent to ΔABC

ΔABC≅Δ

Answers

triangle QPR is equal to triangle ABC

Answer:

QPR

Step-by-step explanation:

angle A=Q side AB=QP

B=P BC=PR

C=R CA=RQ

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