Which answer describes the sequence {1,3,7,15,…} as a mathematical statement? The nth value equals 1 more than twice the first value. The nth value equals 1 more than twice the previous value. The nth value equals the sum of the previous 3 values. The nth value equals 1 more than the sum of the previous value and n. Checkpoint 04 Click on the numbers to jump from one question to another.

Answers

Answer 1

Answer:

Step-by-step explanation:

Each new value is 1 plus twice the previous value.

First value is 1.  Then,

 1 plus twice 1 = 3, the second value.

Second value is 3

 1 plus twice 3 = 7, so

Third value is 7

and so on (this is merely a check)

Answer 2

An arithmetic sequence is a sequence in which the difference between any two terms of the sequence is the same or equal. The nth of the series will be aₙ =1 + (n-1)2.

What is Arithmetic Sequence?

An arithmetic sequence is a sequence in which the difference between any two terms of the sequence is the same or equal.

aₙ = a₁ + (n-1)d

where,

aₙ is the nth term of the sequence,

a₁ is the first term of the sequence,

r is a common difference between every two terms.

The arithmetic sequence given is 1,3,7,15,…, therefore, the common difference between the series and the value of the first term can be written as,

d = 3-1 = 2

a₁ =1

the nth term of the series can be defined as the,

aₙ = a₁ + (n-1)d

aₙ =1 + (n-1)2

Hence, the nth of the series will be aₙ =1 + (n-1)2.

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Related Questions

I will give brainliest please help

Answers

Answer:

x^5y^5

Step-by-step explanation:

here's your solution

=> if base are same then power get added in multiplication

=> so, x^2 * y^4 * x^3 * y^1

=> x^2 * x^3 * y^4 * y^1

=> x^5*y^5

hope it helps

X^5,y^5 because you add the two and three and get five so it’ll be x to the fifth power then you add four and one but there isn’t a number on the y at the end so that automatically makes it one so add four and one you get five so therefore the answer is x^5,y^5

If I get 5 XP every 5 minutes, how long does it take to get 10,000 XP?

Answers

Answer:

It would take 2,000 minutes

Step-by-step explanation:

2,000 times 5 is 10,000

Answer: 1,250 minutes to get 10,000 xp

Step-by-step explanation:

MATH!

PLS HELP MEEEEE!!!!!!!

Answers

Answer:

i think true hehehehehehehhehehehehe

Answer:

True

Step-by-step explanation:

Some people think a long drought may have occurred. However this information is not proven.

Noel has rowing lessons every 5 days and guitar lessons every 6 days. If he had both lessons on the last day of the previous month, when will he have both lessons on the same day of the current month?

Answers

Answer:

Since every 30 days  he  wil have both lessons on the same day , and  he already  had both lessons on the last day of the previous month, that means that the day 30  the current month   he  wil have both lessons on the same day (It may be the last day if the month has 30 days or it may not be the last day if the month has 31 days)

Step-by-step explanation:

Lets find the least common factor of 5 and 6

Multiples of 5

5  10  15  20  35  30  35  40......

Multiples of 6

6  12  18  24  30 36  

LCF of 5 and 6 = 30

Every 30 days  he  wil have both lessons on the same day

Please help-will give brainlist

Answers

Answer:

19.6

Step-by-step explanation:

The circumference is 10 m so the closest answer is A

Answer:

The answer is B

Step-by-step explanation:

This is because to find circumference the formula is r2π. The radius 5 times 2 = 10. Then to get an approximation from pi you sue 3.14. 10 x 3.14 = 13.4.

Hope this helps.

PLEASE CLICK THE INAGE I NEED HELP PLEEEAAASSSE!!!​

Answers

Answer:

Question 3: There are 12 boys in the class.

Question 4: 120 cookies were not oatmeal raisin.

Question 5: Target offers the best deal.

Step-by-step explanation:

If the ratio of girls to boys is 3:2, and there are 18 girls, that means there will be [tex]\frac{18}{3}[/tex] * 2 = 6 * 2 = 12 boys.

Because there are 200 cookies total, and [tex]\frac{2}{5}[/tex] of them are oatmeal raisin, that means that [tex]\frac{3}{5}[/tex] of the cookies aren't oatmeal raisin. 200 * [tex]\frac{3}{5}[/tex] = 40 * 3 = 120 cookies that aren't oatmeal raisin.

The cookies at Kroger have a unit rate of $0.45 per cookie, the cookies at Meijer have a unit rate of $0.50 per cookie, the cookies at Walmart have a unit rate of $0.38 per cookie, and the cookies at Target have a unit rate of $0.20 per cookie. So Target has the better buy.

Step by step explanation

If a car travels 18 km in 15 minutes, find its speed in m/s.

Answers

Answer:

20 m/s

Step-by-step explanation:

Speed = distance / time

distance = 18 km = 18 000 mtime = 15 mins = 900s

Speed = 18 000 / 900

speed = 20 m/s

What is the surface area of this figure?
15 in
10 in
10 in

Answers

Answer: 800

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

The surface area of the figure is 40 + 5π.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

From the figure,

We have a semicircle and a rectangle.

Now,

Diamter = 10 in

Radius = 5 in

Circumference = 2πr

Semicircle circumference = πr

Now,

The surface area of the figure.

= 15 + 10 + 15 + πr

= 40 + 5π

Thus,

The surface area of the figure is 40 + 5π.

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The complete question.

The figure is attached.

pls help write a rule to represent the sequence then b find a to 9th -8, -16, -32, ...

help will mean alot to me

Answers

Answer:

x2

Step-by-step explanation:

This sequence starts with -8, and is being multiplied by 2 every term

17+b+=60
2/7 3/7 9/7 10/7 43 71 Answers Need Help ASap

Answers

B is 43 ............

Answer:

Answer should be 43

Step-by-step explanation:

take 17 from 60 and then because its just B it equals to 1 then you divide 43 from 1 and its just 43.

Please answer my question will give brainliest

Answers

It’s 2(7+12) because it’s also equal to 38

A puppy was born on April 1. The table gives the puppy's weights on three different
dates. Which graph best represents the puppy's weight on these days?

Answers

Answer:

it is the middle one

Step-by-step explanation:

i did it

Please help with this rectangle figure

Answers

Answer:

15.53 sq inches, 15.71 inches

Step-by-step explanation:

(3 * 4) + (1.5^2 * pi)/2 = 12 + 3.53 = 15.53 sq inches

3 + 4 + 4 + (2pi * 1.5)/2 = 15.71 inches

Combine like terms for the following expression:


−4x−x+3−9

Answers

Answer:

-5x-6

Step-by-step explanation:

What is the coefficient of x?

5y − 3x − 2

Answers

The correct answer is -3 I believe

Carmen has 75% less money than Anna. How much money does Carmen have if Anna has 256? With explanation pls

Answers

Answer: 64 25% of 256 is 64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

If Anna has 256, and Carmen has 75percent less, then you need to find 25percent. Which would be 64

Are these correct lol?

Answers

I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Answer:

yes it is

Step-by-step explanation:

Can someone please help!?!?

Answers

Answer:

B x=60, y=60

Step-by-step explanation:

The triangle should equal 180 in total. It shows 60 already on top then you would add them all up 60+60+60=180 degrees.

Answer:

B

Step-by-step explanation:

x=60 and y=60.

ø = pie/6 radians. identify the terminal point and tan ø

Answers

Answer:

Terminal point: (√3/2, 1/2); tan θ = √3/3

Step-by-step explanation:

The terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

θ = π/6

Taking tan on both sides:

tanθ = tanπ/6 = 1/√3 = √3/3

Terminal points:

= (cosπ/6, sinπ/6)

= (√3/2, 1/2)

Thus, the terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.

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A shipping company selects 75 random packages to check their weight.It finds that 3 packages were weighed incorrectly. How many packages out of 3000 should the company predict have an incorrect weight?

Answers

Answer: 120 Packages

Step-by-step explanation:

Given

75 random packages are check

3 package is found faulty

So, the percentage of error is

[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]

i.e. 4% packages is faulty

For 3000 sample, expected faulty packages are

[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]

What are the solutions to the equation x2 + 4x – 12 = 0?

Answers

Answer:

Step-by-step explanation:

X=2,-6

help put the work plzzzz

Answers

$‭4,774.64‬
Step-by-step explanation:
The amount after 10 years assuming 7.5% compound interest is:
= Amount * ( 1 + rate) ^ no. of years
= 4,500 * ( 1 + 7.5%)¹⁰
= $9,274.64
The accumulated interest is:
= Amount after 10 years - Present amount
= 9,274.64 - 4,500
= $‭4,774.64

What is the volume of this cylinder?
a 30 yd
b 6 yd
c 18.84 yd
d 28.26 yd

Answers

Answer:

d28.2643338824, odd as it is 28.27 not 28.26

Step-by-step

1.5×1.5=2.25

2.25xpi=7.0685834706

7.0685834706×4=28.2743338824

rounded, d 28.27?

drawing a vowel from letter tiles that spell out MATHEMATICS
chance
Blank 1:
Blank 2:

Answers

Given:

Drawing a vowel from letter tiles that spell out MATHEMATICS.

Chances = [tex]\dfrac{?}{?}[/tex]

To find:

The correct values for the blanks.

Solution:

Vowels are a, e, i, o, u.

In MATHEMATICS, the vowels are A, E, A, I.

Number of vowels = 4

We know that,

[tex]Probability=\dfrac{\text{Number of selected vowels}}{\text{Total number of vowels}}[/tex]

[tex]Probability=\dfrac{1}{4}[/tex]

So, the chance of drawing a vowel from letter tiles that spell out MATHEMATICS is [tex]\dfrac{1}{4}[/tex].

Blank 1: 1

Blank 2: 4

Therefore, the value for blank 1 is 1 and the value for blank 2 is 4.

Triangle ABC is a right triangle. The lengths of the legs are 60 centimeters and 80 centimeters. What is the length, in centimeters, of the hypotenuse?

Answers

Answer:

100 cm

Step-by-step explanation:

Given:

a = 60

b = 80

a² + b² = c²

60² + 80² = c²

3600 + 6400 = c²

c² = 10000

[tex]\sqrt{c^2} =\sqrt{10000}[/tex]

c = 100

Answer

100 cm

Step-by-step explanation:

<3

what makes 3+7+2= ? +2 true? HELP

Answers

Answer:

3 + 7 + 2= 12

Step-by-step explanation:

It is made true because the equation adds up to the number. If we take 3+7 it equals to 10. Then we take 10 and add it to 2, which gives us 12.

Hope this helps :)

The value of the missing number x will be 10.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Let the missing number be x. Then the equation can be written as,

3 + 7 + 2 = x + 2

Simplify the equation, then the value of the variable x will be

3 + 7 + 2 = x + 2

3 + 7 + 2 - 2 = x

x = 3 + 7

x = 10

The value of the missing number x will be 10.

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Select the correct answer. Which expression is a prime polynomial?
A. x^3 - 27y^6
B. x^4 + 20x^2 - 100
C. 3x^2 +18y
D. 10x^4 - 5x^3 + 70x^2 +3x

Answers

The expression is a prime polynomial is [tex]x^3 - 27y^6[/tex]

What is a prime polynomial?

An irreducible polynomial is a polynomial (of degree greater than zero) that cannot be factored into polynomials of lower degrees. The irreducibility property depends on the nature of the coefficients that are accepted for the possible factors, that is, the field or ring to which the coefficients of the polynomial and its possible factors should belong.

In this way we have that:

[tex]x^3 - 27y^6[/tex]

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Write an equation of the line.(slope intercept form)

Answers

Answer:

y=-2x+8

Step-by-step explanation:

slope intercept form is y=mx+b

b is the y int

m is the slope

y-int: 8

slope: -2

Answer:

y=-2x+8

Step-by-step explanation:

The slope is going down by 2. Therefore, it is a negative 2. The y-intercept is 8.

Please help I'm in fourth and I do not understand this at all :((

Answers

Answer:

Step-by-step explanation:

to under stand this think of a rectangle, or square.  that's the yard, then

we know the total area of that rectangle or square,  some how.  :/  they just tell us,  then   they tell us the length , or one side of our rectangle or square.

we just have to find the other side.

area of yard (rectangle) = Length *  Width

area = L * W

81 = 12 * W

use your algebra skills...  ( my calculus prof. tells us that we are all bad at it :))

81/12 = W

6.75 = W

the width of the yard is 6.75 meters

The people above me is correct I hope you all have a wonderful day ❤️

A performing arts group has 23 members and adds 2 members per
month. Write an equation in slope-intercept form to represent the number
of members y in x months.

Answers

y=2x+23

2x is the for the number of people added every month and 23 is for the number you start with

The equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

In slope-intercept form, an equation of a line is represented as y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (or the point at which the line crosses the y-axis).

Let's represent x is the number of months and y is the number of members.

The number of members y in x months is a linear function of the number of months, with a slope of 2 (the number of members added per month) and a y-intercept of 23 (the number of members at the beginning).

Thus, the equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23

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