Which answer describes the sequence {1,3,7,15,…} as a mathematical statement?

Answers

Answer 1

Answer:

so just successive powers of 2

Step-by-step explanation:

1, 3, 7, 15, 31, 63, _? Add successive powers of 2 to the number: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127.

Answer 2

The given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

Given that,

To justify the given sequences 1,3,7,15.


What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
Given a sequence, 1,3,7,15
where first term      A0 = 1
         second term  A1 = 1 + 2 = 3
          third term      A2 = 3 + 4 = 7
From above sequence we can conclude the general term for the sequence as, S = A(n-1) + (A(n-1) + 1)

Thus, the given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

Learn more about arithmetic progression here:
https://brainly.com/question/20334860
#SPJ2


Related Questions

PLEASE HURRY!! What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Answers

Answer:

the slope = -⅓          

                     

                     

                                                                                                                                                                     

The slope of the line (-1,2) and (-4,3) should be m= -1/3

1 pts
Create an equation of a line that is parallel to y = 4x – 7

Answers

Answer:

There are many..

One would be y = 4x + 7

The trick is the slope is always the same. The only difference is the y-int. You could make one yourself, just use 4x at the beginning.

Please give Brainliest!! Hope this helps!!

9514 1404 393

Answer:

  y = 4x

Step-by-step explanation:

A parallel line will have the same slope. The given line is written in "slope-intercept form", so the slope is readily identified from the equation.

  y = mx + b . . . . . line with slope m and y-intercept b

  y = 4x -7 . . . . . . line with slope 4 and y-intercept -7

So, the parallel line will be something of the form ...

  y = 4x + b

for any value of b. The simplest is to let b=0. If b=-7, then the lines are coincident, not parallel, so that value must be excluded. Any other value of y-intercept will give a parallel line.

  y = 4x . . . . . parallel line

a fence is being built around a rectangular a garden that is 8 1/2 feet by 6 1/3 feet. fencing comes in panels. each panel is 2/3 of a foot wide, how many panels are needed​

Answers

answer: they need 43 panels

The mean weight of a group of dogs in a dog show is 38 pounds. If a certain dog in the show
has a z-score of 0, how much does it weigh?

Answers

Answer:

The weight of dogs x = 38pounds

Step-by-step explanation:

Step(i):-

Given that the mean weight of a group of dogs

       μ = 38 pounds

Let 'x' be the weight of dogs

Let 'x' be the random variable in normal distribution

Given that z-score is zero

Step(ii):-

we know that the z-score

                   [tex]Z = \frac{x-mean}{S.D}[/tex]

            ⇒  [tex]0 = \frac{x-38}{S.D}[/tex]

            ⇒ 0 = x-38

           ⇒  x-38 = 0

          ⇒   x =38

Final answer:-

The weight of dogs x = 38pounds

Glenda and Fiero are at a restaurant eating a meal that costs $30. They have a discount coupon that gets them 10% off the cost. If they pay the waiter a tip of 8% of their bill, how much are they spending on dinner including tip?

Answers

30.00-10%= 27.00
27.00x0.08= 2.16
27.00+2.16= 29.16

Total $29.16

63 +72 - 12 + 15
22 + 3 - 5​

Answers

Answer:

63+72-12+15= 138

22+3-5=20

The perimeter cf a rectangle i: 56 inches" the ratio of the length of the width is 6 : 1. Find the length and the width.

Answers

Answer: Length = 24; width =4

Step-by-step explanation

Since the ratio of the length to width is 6:1

Let the length  be represented as  6x

And the width be  = x

Such that that the Perimeter of the rectangle which is  

Perimeter = 2(length + width)  becomes

56 = 2(6x + x)

56/2 = 6x+x

28 = 7x

x = 4

Width = 4

Length = 6x= 6 x 4 = 24

1. 12/5= 2. 27/12 =


-- Help pls

Answers

1. = 12/5 2. =9/4
‍♀️

Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.

Answers

Answer:

[tex]-3\frac{1}{2}<-3\frac{1}{3}[/tex]

Step-by-step explanation:

-3.5 means -(3 + [tex]\frac{1}{2}[/tex])

In other words, -3.5 = [tex]-3\frac{1}{2}[/tex]

When we draw two numbers [tex]-3\frac{1}{3}[/tex] and [tex]-3\frac{1}{2}[/tex] on a number line, [tex]-3\frac{1}{2}[/tex] comes first from left to right.

We know that all the numbers on a number line from left to right are in increasing order.

Therefore, [tex]-3\frac{1}{2}[/tex] is smaller than [tex]-3\frac{1}{3}[/tex].

[tex]-3\frac{1}{2}<-3\frac{1}{3}[/tex]

Lauren is not correct.

There are 12 inches in 1 foot. How many inches are in 12 feet?

Answers

Answer:

there are 144 inches in 12 feet.

Answer:

There are 144 inches in 12 feet.

Lin runs five minutes around the track in 6 minutes. How many laps per minute is that ?

Answers

Answer:

1.2

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

Answer:

B YOU GOT THIS

Step-by-step explanation:

The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in each grade All students in the social studies club Which group best represents the population he should take a random sample from to get the best results for his survey?

All teachers in the school

All boys in each grade

All students in each grade

All students in the social studies club

Answers

Answer:

all students each grade, its a better representation of the wants of the whole group being affected

Step-by-step explanation:

Answer:

C: All students in each grade

Step-by-step explanation:

It cant be all teachers in the school since at the beginning of the question it says "whether the students" not whether the teachers plus it is not a mxed variety, so this question was sort of trying to catch you off guard

The reason why is if you pick all the boys in each grade then it wouldnt really be random since your picking the gender you want to answer it has to be a mixed variety all ages all genders and so on

Yes! All students in each grade would be a mixed variety since its all ages, all genders, and all grades this answer was a little obvious since they sort of gave you the answer saying "The social studies teacher wants to know whether the students in the entire school"

All students in the social studies club wouldnt be a good answer either since (as i said before) it has to be random and your picking who you want to answer plus since there in the club with the social studie steacher they are more likely to pick what she wants to pick

So the answer would be C: All students in each grade

Chloe's mom gives her $30 to go to the store for cupcakes. She cannot spend over $30. Each pack of cupcakes (c) cost $2.50. How many packs of cupcakes can Chloe buy?

Answers

30=2.5x
/2.5 /2.5
12 cupcakes

Someone plz help I already know the answer put how can I put the diagram can you guys help me can u put the picture how u did it plz giving brainliest

Answers

Answer:

therws this random chart from the internet, I think that's what they want, but not sure

Can someone explain how to do this? Will mark as brainliest

Answers

Answer: x is the angle of the tricundicular angle of the imperfect triangle. It’s like area but it’s an imperfect triangle, there’s is also 2 different numbers that u should get from this

Step-by-step explanation: pls mark brainliest

18 increased by twice a number​

Answers

Answer:

18+2x

Step-by-step explanation:

Let the number be x.

Translate: 2x + 18 = x - 4.

Subtract x from each side:  x + 18 = -4.

Subtract 18: x = -22.

Check:  2(-22) + 18 = -44 + 18 = -26;  -22 - 4 = -26.

8 increased by twice a number​  = 18+2x

What is a linear equation?

A linear equation has one or two variables.

No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.

solving this we will get the valve of Y if x is given.

Learn more about linear equations here:-https://brainly.com/question/14323743

#SPJ2

In comparison 1/3to where would 3/9be
located on a number line
A
closer to o
В.
the same point
C.
closer to 1
D
At 0

Answers

B- at the same point. 3/9 simplified would be 1/3....

In comparison to 1/3 to 3/9, both numbers are located at the same point on a number line.

What is a number line?

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

It is given that:

In comparison 1/3 to where would 3/9 be located on a number line

As we know, a number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

1/3 = 0.333

3/9 = 1/3 = 0.333

If we plot the above fractions on a number line we will see these two fractions are on the same point.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Thus, in comparison to 1/3 to 3/9, both numbers are located at the same point on a number line.

Learn more about the number line here:

brainly.com/question/13189025

#SPJ2

Please help me WILL GIVE 20 POINTS

Answers

Answer:

10.8 in.; CE = √(82 + 62 + 42)

Step-by-step explanation:

I think this hint helps you

have a great day ahead

(3g - 8) - (2g - 1) ...........

Answers

Answer:

g-7

Step-by-step explanation:

How is this number read?

18.73

A. eighteen seventy-three
B. eighteen and seventy-three tenths
C. eighteen and seventy-three hundredths
D. eighteen and seventy-three thousandths

Answers

Answer:

the answer is d to the qu5

Answer:

The answer is c

Step-by-step explanation:

I took the quiz on K12

5 2/5 divided by 9/10

Answers

Answer:

Step-by-step explanation:

5 2/5 = [(5*5)]+2 / 5 = (25+2) / 5 = 27/5

(27/5)/(9/10) = 27/5 * 10/9

cross cancel 27 becomes 3 and 9 becomes 1, 5 becomes 1 and 10 becomes 2

= 3/1 * 2/1 = 6/1 = 6

Please help Asap if possible. I’m confused with this problem.

Answers

Answer:

D

Step-by-step explanation:

The graph is positive and it's obviously not linear making the answer D

Help ASAP
1. What is the volume of the cylinder shown above, rounded to the nearest hundredths?
2. What is the volume of the cylinder shown above if the radius is doubled, rounded to the nearest hundredths?
3. What is the volume of the cylinder shown above if the height is cut in half, rounded to the nearest hundredths?

Answers

Answer:

1) 169.7

2) 678.6

3) 84.9

Hope it helped!!!

Mark said he can decompose five six into three fractions with three different numerators and the same denominator is this possible explain

Answers

Answer:

1/6 ; 2/6 ; 2/6

Step-by-step explanation:

To split 5/6 into. 3 different fractions with the same denominator and different numerator values;

The integer value of the numerator 5 can be divided into 3 different whole Number values ;

It could be :

5 = 3 + 1 + 1

5 = 2 + 2 + 1

Hence, we could have ;

3/6 +. 1/6 + 1/6

Or

2/6 + 2/6 + 1/3

PLEASE PLEASE PLEASE HELP I WILL GIVE BRAINLIEST

An iPad Mini and an iPad Pro have an approximate scale factor of 1.5, where the iPad Pro is 1.5 times the size of the iPad Mini. Which statement is true?

A) The perimeter of the screen of the iPad Mini is 1.5 times the size of the iPad Pro.
B) The perimeter of the screen of the iPad Pro is 1.5 times the size of the iPad Mini.
C) The area of the screen of the iPad Mini is 1.5 times the size of the iPad Pro.
D) The area of the screen of the iPad Pro is 1.5 times the size of the iPad Mini.

Answers

It’s D, because when using the word “area” it means you have to multiply. The term “times” in this case ALSO means to multiply. The iPadPro is 1.5 TIMES the size of the iPad mini. Hopefully this is correct good luck

What is the volume?
2 mm
2 mm
2 mm

Answers

Answer:

8mm

Step-by-step explanation:

A cube with 2mm is 8mm

Answer:

Its depends on the shape of the container. If its a cube then it is 8mm

Step-by-step explanation:

to find volume, its length x width x height so

2mm x 2mm x 2mm = 8mm

One month lashonda rented 7 movies and 9 video games for a total of $73 the next month she rented 5 movies and 3 video games for a total of $29 find the rental cost for each movie and each video game

Answers

Answer:

Solve a system of equations with two unknowns x and y

where x is the rental price for the movie and y is the rent for video games

7x + 9y = 73

5x + 3y = 29

Solving the result: x = $ 1.75, y = $ 6.75

Step-by-step explanation:

change 4x - 5y = 10 into slope intercept form and graph

Answers

Answer:

Slope intercept form: y = 4/5x - 2

Step-by-step explanation:

(subtract 4x from both sides) -5y = -4x + 10

(divide everything by -5) y = 4/5x - 2

To graph, place a point at (0,-2), and then travel up 4 and over right 5 (or down 4 and to the left 5) to place the next point, then draw a line through the points

Need help!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  bus: 324 ft long

  P-H: 1154 miles

Step-by-step explanation:

In each case, we can use the relation that the length of an arc (s) is found by ...

  s = rθ

where r is the radius and θ is the angle in radians.

__

1. 2°20'50" = (2 + 20/60 + 50/3600)(π/180) radians ≈ 0.0409668 radians

Then the length of the bus is ...

  (0.0409668)(1.5 mi)(5280 ft/mi) = 324 ft

__

2. The difference in latitude is ...

  41°17'5" -24°45'30" = 16°31'35" ≈ 0.288440 radians

Then the mileage between latitude lines is ...

  s = (4000 mi)(0.288440 radians) ≈ 1154 miles

__

Additional comment

Neither of these problems should be considered to be realistic. An actual bus will subtend a far smaller angle at the given distance. The distance between cities must take into account longitude as well as latitude (and the latitudes must be properly associated with the cities).

Other Questions
Evaluate the expression for p=3.4p= What is nationalism 2. Which expression is equivalent to 5-(-8)?A (-5) + 8 B 8+5C 8-5D 5-8 What is 4 divided by 1/10? There are 14 girls and 12 boys in a class. What is the ratio of girls to students? The rate of chemical reaction is characterized by all of the following except:Select one:a.It depends exponentially upon the temperature.b.The Eurim equation can be used to calculate it.c.It is always dependent upon the composition of the reaction mixture.d.It often follows Arrhenius rate law. Elizabeth earns $8 per hour. She works 40 hours each week. How much money does she earn in 6 weeks? The Japanese government is trying to prevent scarcity of which resource?energylabormoneytransportation You have 18 pencils.Seven pencils fit in a pencil case.How many cases do you need to hold all of your pencils? What is the genre of this story?Why is it so quiet? Why can't I move? And why is it so dark? I try to recall where I am, but I cannot remember. Blackness surrounds me.I hear a familiar voice that makes my heart flutter like a thousand butterflies. It is the voice of my friend, Maddy. She visits her grandparents here on the Gulf of Mexico every summer. She usually brings me crumbs, but today, I cannot smell anything except the sour smell of oil. Her voice sounds worried, different from the usual cheerful greeting that she calls me with every day at dusk. I try to turn towards her, but I can't move very well. My feet feel mired as if in quicksand.I hear her come closer. Her words help me understand that something has happened to my home."Oh, grandma! What is all this? They are all covered in it! It's black. Ugh! The smell is so strong I can't stand it." Maddy's tears stream down her face, mingling with mine. I hear her crying, but all is dark, like a moonless night. Where is the smiling sun? I try to stretch out to feel the warmth, but my wings do not respond. Dazed, I call out to my friends hoping they will find me in the blackness, but everything is so still. I hear nothing, except for Maddy's desperation. Her sobs, uncontrollable."Go get some towels, Maddy. Run!" Her grandma tells her, a quiet urgency in her voice. "Hey little one," grandma coos as she bends over me. I can feel her breath on my head. "We've got you and you are going to do all we can for you." All they can? I hear Maddy's hurried footsteps and feel the towel's softness enveloping me as she picks me up in her arms. She is gentle, her sobs quieting as she takes me to her home, seemingly miles and miles from my nest along the shoreline.I hear the phone ring. I hear the news on the television. "Spill...oil...negligence...BP...blame..." "What are we going to do?" I hear the door banging and neighbors' voices, shrill and urgent, coming in and out of the house. All of the sounds tell me that the emergency is intensifying.I still cannot see anything. Maybe it is good that I cannot see. If I could, I might see my home, blackened with the oil of a mishandled well deep in the ocean. I would see my friends, covered in slick crudeness. I would desperately observe the choking, billowing smoke, polluting the Gulf sky, my home. I would see my family unable to fly through the air, unable to dive into the ocean for the delicious meals we used to find there. I fear our fish are no more; they are stuck in the depths of the black, watery grave. What are we going to do? What are we going to do? I hope the humans will do something to bring light to all of the blackness.I hear Maddy, making sweet, soothing sounds as she begins to clean my feathers gently. I hear that sound often. It's the sound humans make on the beach when their babies are frightened. Fantasy, Science fiction, Mystery, Historical fiction, Realistic Fiction, Autobiography, Biography, Informational, Essay, Comedy, Tragedy, Monologue, Improvisation, Sonnet, Free verse, Haiku, or Limericks? If the midpoint of AB Is (5,-4) and the coordinates of Aare (10,-6), then the coordinates of B are Find the volume of this cuboid 5cm 4) What is the Formula weight of MgCl2 and the explanation. help plz the first answer i get i will give brainliest Giving brainliest!!!!!!!!!!!!!!!!!!!! Simplify: 299.081+59.26-95.32-365.195 Do you hear sounds around you as one frequency at a time or as many frequencies at once? (GIVING BRAINLIYEST)7. what is the volume of these 2 objects How can climate change be reduced? How can climate change be fixed? Is there any evidence for us to see that climate change has been affecting us? HELP A PERSON OUT PLEASEEE