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

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

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:

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]

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

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

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].

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.

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 :)

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)

PLZ, I WILL GIVE BRAINLIEST IF YOU HELPPP!

Answers

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

2.) 11, 13, 17, 19

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:

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

Answers

Answer:

C. 80

Step-by-step explanation:

Hope This Helps! : )

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

HELP DUE IN 10 MINS!

m∠WXZ =??

Answers

Ur answer is 64°

180-(90+26)= 64


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

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

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

Is this correct?-

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

Answers

Answer:

a) No

b) No

c) No

d) Yes

Thank y’all for help

Answers

Answer:

Ask a question so I can answer it -_-

Step-by-step explanation:

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.

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

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

please help 3/4x 2 1/7

Answers

Answer:

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

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.

Can someone please help?

Answers

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

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.

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.

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.

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

Answers

Answer:

17s+20t

Step-by-step explanation:

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!

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