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.

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Related Questions

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.

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

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 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

63 +72 - 12 + 15
22 + 3 - 5​

Answers

Answer:

63+72-12+15= 138

22+3-5=20

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

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

HELP I NEED HELP ASAP

Answers

Answer:

B YOU GOT THIS

Step-by-step explanation:

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:

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.

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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.

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

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:

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

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

Answers

Answer:

g-7

Step-by-step explanation:

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!!!

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

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:

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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).

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

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

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 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

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

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

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


-- Help pls

Answers

1. = 12/5 2. =9/4
‍♀️

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

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

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

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