Q4) Identify which of the following are geometric sequences and which are
not
(i) 2, 6, 18, 54.....
(ii) 25,5, 1,
(iii) 1, 4, 9, 16

Answers

Answer 1

Answer:

(i) and (ii)

Step-by-step explanation:

For a sequence to be geometric then the ratio r between consecutive terms must be common.

(1)

2, 6, 18, 54

6 ÷ 2 = 3

18 ÷ 6 = 3

54 ÷ 18 = 3

Here there is a common ratio r = 3 , then sequence is geometric

(ii)

25, 5, 1

[tex]\frac{5}{25}[/tex] = [tex]\frac{1}{5}[/tex] and [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{1}{5}[/tex]

There is a common ratio r = [tex]\frac{1}{5}[/tex] , then sequence is geometric

(iii)

1, 4, 9, 16

4 ÷ 1 = 4

9 ÷ 4 = 2.25

16 ÷ 9 = 1.777..

There is no common ratio, then sequence is not geometric


Related Questions

Of the marbles in a​ bag, 5 are blue​, 2 are white​, and 2 are yellow. Sandra will randomly choose one marble from the bag.

Answers

Answer:

[tex]\dfrac{2}{9}[/tex]

Step-by-step explanation:

Given that,

A bag contains 5 blue, 2 white and 2 yellow marbles.

We need to find the probability of choosing a white marble from the bag.

Total no. of outcomes = 5+2+2

= 9

No. of white marbles = 2

Required probability,

[tex]P=\dfrac{2}{9}[/tex]

So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].

HELP DUE IN 10 MINS!

m∠WXZ =??

Answers

Ur answer is 64°

180-(90+26)= 64

I'll give you a brainiest, but please help me with this question. I need help.

Answers

Hope it helps you!.......

Answer:

Angle B would be 56 degrees.

I don't understand this my teacher is not texting me back

Answers

Answer:

Please find below. Fill in the table with the values of y given below.

Step-by-step explanation:

For question 5, you should substitute the different values of x into the equation y =x^2 +4

So, when

x = -3, y = (-3)^2 +4 = 9+4 = 13

x = -2, y = (-2)^2 +4 = 4+4 = 8

x = -1, y = (-1)^2 + 4 = 1+4 = 5

x = 0, y = 0^2 + 4 = 4

x = 1, y = 1^2 +4 = 1+4 = 5

x = 2, y = 2^2 +4 = 8

x = 3, y = 3^2 + 4 = 13

x = 4, y = 4^2 + 4 = 20

For question 6, you need to find the nth term or a formula of y in terms of x.

For this, find the common difference between each of the consecutive values of y.

This is 5

So, the start if our equation is going to be ‘y = 5x’

Now, to find the ‘+c’ part, can be calculated by substituting the value of y when x = 1 into the y = 5x

So,

y = 5x + c

13 = 5 + c

Rearrange the find that c = 8

Therefore, the nth term formula = 5x + 8

Hope this helps

Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of rectangle = bh = 6(2) = 12 mm2 area of triangle = bh = 2(2) = 4 mm2 area of figure = 12 + 4 = 16 mm2 A figure can be broken into a rectangle and triangle. The rectangle has a base of 6 millimeters and height of 2 millimeters. The triangle has a base of 2 millimeters an height of 2 millimeters. What error did Alice make? She didn’t use the correct formula for area of a triangle. She didn’t use the correct formula for area of a rectangle. She didn’t find the height of the triangle correctly. She didn’t add the areas of the triangle and rectangle correctly.

Answers

Answer:

She didn’t use the correct formula for area of a triangle.

Step-by-step explanation:

edg 2021 Sorry for the late answer.

What is the difference between the circumference of a medium pizza and the circumference of a personal pizza? Round to the nearest hundredth.

Answers

Answer:

?

Step-by-step explanation:

Thank y’all for help

Answers

Answer:

Ask a question so I can answer it -_-

Step-by-step explanation:

How much sand do you need to add to 3.2m^3 of soil with 40% sand in order to make a soil with 60% sand

Answers

Answer:

[tex]1.6m^3[/tex] sand is to be added to make sand percentage [tex]60\%[/tex]

Step-by-step explanation:

From the question we are told that:

Total soil [tex]N=3.2m^3[/tex]

Initial sand percentage [tex]S_1=40\%[/tex]

Final sand percentage[tex]s_2=60\%[/tex]

Generally the sand and other particles division is mathematically given by

[tex]40\% of 3,2=1.28[/tex]

and

[tex]60\% of 3.2=1.92[/tex]

Generally  what will make 60\% of 3.2 40\% is mathematically given by

[tex]x=1.92*0.4\\x=4.8[/tex]

Generally the sand to be added is mathematically given by

[tex]4.8sand-3.2sand =1.6m^3[/tex]

Therefore

[tex]1.6m^3[/tex] sand is to be added to make sand percentage [tex]60\%[/tex]

Answer this and i will thank you

Answers

Answer:

Answer what? a question needs to be posted.

Step-by-step explanation:

*answer will be updated*

Answer:

24 si efil rewsna eht

Step-by-step explanation:

The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything", calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Unfortunately, no one knows what the question is.

Divisors: 1, 2, 3, 6, 7, 14, 21, 42

Ordinal: 42nd; (forty-second)

Cardinal: forty-two

Binary: 1010102

I need help on this I'm super confused.

Answers

Answer:

a) 7x-2

b) 28x-8

c) length of a side: 26 in, perimeter: 104 in, area: 676 square inches

i’m not quite sure abt c but i hope this helps :)

Can someone please help?

Answers

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

equivalent expression 7s+8t+10s+12t

Answers

Answer:

17s+20t

Step-by-step explanation:

please help 3/4x 2 1/7

Answers

Answer:

1 17/28 or 1.6071428571429 round: 1.61 in decimal form.

Is this correct?-

Also please don’t just say “yes” or “no”-

Answers

Answer:

a) No

b) No

c) No

d) Yes

A triangle on a coordinate plane is translated according to the rule T8, 4(x, y). Which is another way to write this rule?
(x, y) - (x + 4y - 8)
O (x, y) - (x-4, 7-8)
O (x, y) — (X-8, y + 4)
O(x, y) - (x + 8, y–4)​

Answers

Answer:

C) (x,y)->(x-8,y+4)

Step-by-step explanation:

Just did it on edge 2021

The translation rule will be (x+8 , y+4).

What is Transformation?

A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

When we scale a triangle by some factor, neither its shape nor size change. The image corresponds to the previous image.

The horizontal translation of x coordinate is either horizontally right or horizontally left depending on the positive or negative value of x - coordinate.

Depending on the positive or negative value of the y - coordinate, the y coordinate is translated vertically up or down.

Here (8 ,4) shows there is shifting Horizontally right (x+ 8) and there is shifting Vertically up (y + 4).

Learn more about Transformation here:

https://brainly.in/question/6446519

#SPJ7

The temperature today will be atleast 10F | on a graph and inequality

Answers

Answer:

Temperature => 10F

Step-by-step explanation:

Mark brainliest if this helped!

Mark brainliest if this helped!

Solve the equation on the interval [0,2pi)

Answers

The value of θ within the interval is 210 and 330 degrees

Given the equation;

[tex]2sin^2 \theta = 5sin \theta - 3[/tex]

Let P = sinθ

The equation will become;

2P² = 5P - 3

2P² - 5P - 3 = 0

Factorize;

2P² - 6P + P- 3 = 0

2P(P-3) + 1(P -3) =0

2P + 1 = 0 and P - 3  = 0

p = -1/2 and  3

Since P = sinθ

sinθ = -1/2

θ = -30 degres

Since sine is negative in the second 3rd and 4th quadrant

θ = 180 + 30 = 210 degrees

θ2 = 360  - 30 = 330 degrees

Hence the value of θ within the interval is 210 and 330 degrees

Learn more on trigonometry here: https://brainly.com/question/24349828

What is the slope of a line that passes through (1, -2) and (2, 4)?

Please help ​

Answers

The formula would be (y2-y1)/(x2-x1)

So, plugging it in, the equation would be (4+2)/(2-1)

Solving that, you get you a slope of 6.


One number is 2 times the other number. The sum of the numbers is
150. Find the numbers.

Answers

Answer:

x = 50; 2x = 100

Step-by-step explanation:

x + 2x = 150

3x = 150

x = 50

2x = 2(50)

2x = 100

it's all on the picture ​

Answers

The variable in the equation is the letter “d”
d is the variable because a variable is a letter used to represent the unknown number. So d is the variable.

Answer:

The variable is D

Step-by-step explanation:

a variable is an unknown quantity among an equation

Jada's teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

Answers

Answer:

Correct

5x + 3 = 17

Step-by-step explanation:

So we need to find the book wieght only so take away the bag's weight from the total. 17-3=14. Now it says 5 books so divide 14 by 5 which is 2.8.

= 2.8 pounds

2.8 pounds is the weight of each book

Please Help!!!
The 2 questions are attached below.

Answers

Answer:

C. 80

Step-by-step explanation:

Hope This Helps! : )

PLZ, I WILL GIVE BRAINLIEST IF YOU HELPPP!

Answers

1.) 1, 2, 3, 5, 7

2.) 11, 13, 17, 19

A bag contains 55 coins of $1 and ¢50 denominations. Find the number of coins of each denomination, if the total amount in the bag is $40.

Answers

Answer:

Number of $1 coins are 25 and number of 50 cent coins are 30.

Step-by-step explanation:

Let's set up the equations.

Let there are x number of $1 coins

There are y number of 50 cent coins

So, x+y =55

1 x+0.50 y =40

Solve the equations for x and y.

Solve the first equation for y.

y=55-x

Substitute y as 55-x into the second equation.

1 x+0.50(55-x)=40

Solve the equation for 'x'.

Distribute the 0.50 to get rid the ( ).

1 x+27.5-0.50 x= 40

Combine like terms

0.50 x +27.5=40

Subtract both sides 27.5

0.50 x =12.5

Divide both sides by 0.50

x=25

Now, plug in x as 25

y=55-25

y=30

So, number of $1 coins are 25 and number of 50 cent coins are 30.

The straight line PQ with P(1,6) and Q(-6, 1). PQ is mapped onto P'Q' by a reflection in the line = 2. What are the coordinates of P

Answers

Answer:

[tex]P' = (1,-2)[/tex]

Step-by-step explanation:

Given

[tex]P = (1.6)[/tex]

[tex]Q = (-6,1)[/tex]

Reflection over: [tex]y = 2[/tex]

Required

Determine the coordinates of P'

From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2

Since we are to reflect over y = 2, only the y coordinate of P will be affected.

The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]

So, what to do is:

First, calculate the difference between the y coordinates of P and the line of reflection.

The y coordinate of P is 6 and the line of reflection is at y = 2.

So, the difference is: 6 -2 = 4

Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'

y coordinate of P' = 2 - 4 = -2

Hence, the coordinate of P' is: (1,-2)

I don't get it please help it's for math ASAP please help

Answers

X>6 it makes me type longer but yea hope it helps

A map scale is 2 in : 15 mi. Two cities are 5.7 in. apart on the map. Find the actual distance between the two cities. Enter the number only.

Answers

Answer:

70!km is the right answer

Step-by-step explanation:

The distance between two cities on a map is 3.5 centimeters. the map is uses a scale in which 1 centimeters represents 20 kilometers.

I got the lateral I just need help with the total surface area

Answers

Answer:probably just mutiply all the numbers!

Step-by-step explanation:

I will give Brainiest For The Correct answer
Factor completely

a2 - a - 20

Worth 20 Points

Answers

(A−5)(A+4) I think that is the right answer

Sherry and Karl both started their hike with a small bottle filled with water. Tia started her hike with a larger that was 1/2 full. At the end of the hike, Sherry and Tia’s bottles were each half filled with water. Karl’s bottle was filled 1/3 filled with water. Who has the most water left? Construct a math argument to support your answer.

Answers

Answer:

The person with the most water left is;

Tia

Step-by-step explanation:

The parameters given in the question are;

The volume of water Sherry and Karl both started their hike with = 1 small bottle each

The volume of water Tia started her hike with = 1/2 of a larger bottle of water

The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water

The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water

The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water

Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl  respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;

The volume water with Tia at the end of the hike = 1/2·x

The volume water with Karl at the end of the hike = 1/2·y

The volume water with Tia at the end of the hike = 1/2·Z

Given;

Z > x

Z > y

∴ 1/2·Z > 1/2·x

1/2·Z > 1/3·y

Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.

Other Questions
Hurry The mass of a standard hockey puckmust be at least 156 grams. What isthis weight in kilograms just this last one left How do you spell these sentences to French? im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points Which figures can have all of the properties shown below Activity 1: Lines and Curves - Maps of LifeMATERIALS NEEDED: Pen, pencil or colored pencilsDirections:1. Recall some of your remarkable childhood memories.2. Using the diagram below sketch or draw the places that have been a part of yourlife and are of interest to the members of your family. Example: From your house,church, malls, parks and school.3. Answer the questions below and write your answer on the space provided.8881 Developmental psychology is the field that primarily studies how humans grow and develop.Please select the best answer from the choices providedOF Old Man Warner's dialogue in the following passage (paragraph 32) mainly suggests... Used to be a saying about 'Lottery in June, corn be heavy soon.' First thing you know, we'd allbe eating stewed chickweed and acorns. There's always been a lottery," he added petulantly.Bad enough to see young Joe Summers up there joking with everybody."A. the power of a tradition like the lotteryB. that he is much wiser than the other villagersC. that the lottery is necessary for the village's survivalD. that he is the story's villain Identify two causes and three political effects of the Great Depression Explain in detail how low density polyethylene is made 4) You are making a batch of cookies. Each batch uses 3 cups of flour and will give 7 servings. Youare going to multiply your recipe to offer more servings, so you use 11 cups of flour. How manyservings will you actually be able to offer?a. 22b. 2531d. 38C.rolexing and upsetting. For at that time I had already Select the words that include the Latin root tract.distractinspectorattractionintermissionHELP I have 130 L of gas in a piston at a temperature of 250C. If I cool the gasuntil the volume decreases to 85 L, what will the temperature of the gas be? Which expression is equivalent to 5c + 3c? 9y - 2x = 0 in slope intercept form. Answer please20 points A fairly small comet is passing very close to a large planet with a much greater mass. Which of the following is the best prediction of how the comet will be affected by the gravity of the planet. according to the law of universal gravitation? Riddle Answer me this.. Three men had a Job interview at the same company. They all came late at the same time, so the employer asked them one question. He asked " Why are you late?". One said: "Sir, I woke up early this morning and told my son to make me a hot coffee with two teaspoons of sugar only, but he added three spoons of sugar instead, so I had to pick out one spoon of sugar from my coffee before drinking it. That is why I am lateSecond man said: " Sir! My problem is worse. I was on my way here when a heavy rain started to fall. Because I did not want my clothes to get wet, I had to dry out the rain from the sky. Then the third man said: Sir! My problem is confusing. You see sir, I dressed up and was all ready for my interview when a huge earthquake happened and split the ground into two, so in order for me to drive on the road, I had to sew the ground back together. Among these three men, Who is the worst liar? :) Do not abuse or misuse any piece of drawing instrument. ASAPPPP What principles of government are expressed in the Declaration of Independence? How are these principles expressed in the Declaration of Independence?