Mathematics High School

Find the nth term of this number sequence
7, 10, 13, 16, ...

help please !!

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

Answer 2

Answer:

The nth term = 3n + 4.

Step-by-step explanation:

The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d.

So this breaks down simply to,

a(n) = dn + a(1) - d a(n) = 3n + 7 - 3 a(n) = 3n + 4

Related Questions

help pls fast
Each week, Bailey earns $12 per hour for the first 40 hours she works, and $18 for each hour of work after 40 hours. Her weekly earnings are a function of the amount of time she works.

Which function models the amount of money that Bailey earns?

the answers are graphs

Answers

The function model for the amount of the money that Bailey earns is,

Regular earning +overtime pay=total earnings.

We have given that the

12$ =1hours

first 40 hours in a week

and 18$ for each hour after a week.

We have to determine the function models the amount of money that bailey earns

What is the formula for regular earning?

regular hour × regular rate=regular eaning

40(12)=480$

overtime hours × overtime rate=overtime pay

Regular earning +overtime pay=total earnings

Here we don't know the overtime hours

Therefore we are unable to calculate total earnings.

The function model for the amount of the money that Bailey earns is,

Regular earning +overtime pay=total earnings.

To learn more about the earnings visit:

https://brainly.com/question/26282268

#SPJ1

Need help with this question?

Answers

Answer:

six hundred and sixty-two by twenty-six

Step-by-step explanation:

six hundred and sixty-two by twenty-six

Find the volume of the triangular prism

Answers

Answer:

Step-by-step explanation:

5*4*7=140/2=70

How do you write 0.327 as a percentage

Answers

You would write 0.327 as 33%, rounding up.

you multiply it by 100, so the answer is 32.7%

A total of 76 students respond to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride. Of the 25 boys surveyed, 9 get a ride to school. What is the total number of students who walk to school?

Answers

Answer:

22+16 = 38

38 students walk to school

Step-by-step explanation:

Answer: 38 students walk to school

Step-by-step explanation:

Given Information

Total number of students = 76 students

Total number of girls = 22 + 29 = 51 students

Total number of boys = 25 students

Number of students walking to school:

Boys = ?Girls = 22

Number of students getting a ride:

Boys = 9Girls = 29

Find the number of boys that walk to school

Total number - getting a ride

= 25 - 9

= 16 students

Find the total number of students who walk to school

Number of boys + Number of girls

= 16 + 22

= [tex]\boxed{38\:students}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A store uses binary numbers to assign a unique binary sequence to each item in its inventory. What is the minimum number of bits required for each binary sequence if the store has between 75 and 100 items in its inventory?.

Answers

Answer:

Introduction:

Binary numbers are used by different departmental stores to keep track of their inventory.

Explanation:

For this the minimum binary numbers should be 8 bits which can represent 256 unique values.

If a store needs to represent its inventory items between 25 to 75, it should use at least 8 bits which can formulate a eight bit number for every item.

Conclusion:

Therefore the correct answer is d. 8

Step-by-step explanation:

Nancy purchased from bed sheets for $36 they were on sale for 25% off what was the original price of the bed sheets

Answers

Answer:

ans $48

Step-by-step explanation:

36$ with 25%off

$36*75%=48

Select the correct answer from each drop-down menu.
Consider the equation below.
-2(53 + 8) = 14 + 65
The equation was solved using the following steps.
-10.1
-
- 16 = 14 + 65
-161 - 16 = 14
Step 1:
Step 2:
Step 3:
Step 4:
-161 = 30
30
--16
Step 5:
1
II
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
Step 1:
Step 2:
6x

Answers

Answer:

1: Distribute -2 to 5x and 8.

2:Subtract 6x.

3:Add 16.

4:Divide by -16.

Step-by-step explanation:

Answer:

1: Distribute -2 to 5x and 8.

2:Subtract 6x.

3:Add 16.

4:Divide by -16.

Step-by-step explanation:

Step-by-step explanation:

I will be asking a lot of questions soon so I can finish an assignment I have been struggling on for a while now lol, so I guess this is a good opportunity to get brainly points, brainliest, and badges!
The question:
Divide. give the quotient and remainder. 4374/5
(This is from Aleks)

Answers

Answer:

Q: 875 R: 4

Step-by-step explanation:

If you dont like doing long division, try plugging values in usling a calculator! Estimate tht 5*8=40, and then, 5*800 must then equal 4000, which is pretty close to 4374

5*7=35, so the 5*70 must equal 350

5*4 equals 20, so when you add these values up you get...

4000+350+20...

or 4370

and, since 4374-4370 equals 4, your remainder would be 4!

Margo earns $13.50 per hour as a lifeguard. How many hours per week must she work if she wants to earn approximately $300 per week ?

Answers

Answer:

22.22 or 22 11/50

Step-by-step explanation:

Determine whether the sequence converges or diverges. If it converges, give the limit.

9, 27, 81, 243,

Answers

The sequence diverges because the value of the absolute common ratio r is greater than the 1.

What is convergent of a series?

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We have series:

9, 27, 81, 243....

The above series is a geometric progression with common ratio r is 3

[tex]\rm r =\dfrac{27}{9}[/tex]

r = 3

We know the formula for a geometric sequence:

[tex]\rm S_n = 9(3)^n[/tex]

[tex]\rm S_n = 3^{n+2}[/tex]

A geometric series converges only if the absolute value of the common ratio:

r < 1 and

It diverges if the ratio ≥ 1

Here the value of r = 3 which is greater than the 1 so the sequence diverges.

Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.

Learn more about the convergent of a series here:

brainly.com/question/15415793

#SPJ1

The amount of time (t) in minutes it takes to make a coffee at Starbucks is related to (n) the number of coffees purchased. The equation is t = 2n − 3. How long does it take if a customer buys 5 coffees?

A. 13 minutes
B. 7 minutes
C. 4 minutes
D. None of these choices are correct.

Answers

Answer:

7 minutes

Step-by-step explanation:

[tex]t=2n-3[/tex]

[tex]when\ n=5[/tex]

[tex]t=2\times 5-3=7\ minutes[/tex]

I hope this helps you

Joey owns 32 ties.

3 over 8 of the ties are red.

1 half of the red ties have stripes.

How many of the ties are red and have stripes?

Answers

16 is half of 32! So if half the red ties have stripe then 32/2 is 16

Multiply and simplify the product. (3 – 5i)(–2 4i) select the product.

Answers

Answer:

120i(squared)-72i

Step-by-step explanation:

(3−5x)(−24x)

=(3+−5x)(−24x)

=(3)(−24x)+(−5x)(−24x)

=−72x+120x2

=120x2−72x

Answer:

Step-by-step explanation:

14+22i

At which point is air pressure lowest? The image shows a representation of mountains of various heights, numbered 1, 2, and 3. The plain is labeled number 4. 0 1 2. 03 4 1 2 3

Answers

From the given image, the air pressure will be lowest at the highest altitude in the image.

What is air pressure?

Air pressure or atmospheric pressure is the pressure within the atmosphere of Earth.

This air pressure increases with decrease in altitude but decreases with increase in altitude.

Therefore we can conclude the following, from the given image, the air pressure will be lowest at the highest altitude and maxiumum at the least altiutude.

Learn more about air pressure here: https://brainly.com/question/2353923

Answer: The answer is: 1

Step-by-step explanation: The higher you are the more the air pressure lowers. I have my ways ;>

Have a great day!

-Sunny

Find the gradients of lines a and b ( first to do gets brainlist)

Answers

Answer:

A = 4

B = -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Line A: gradient = 8/2 = 4.

Line B: gradient = -12/6 = -2.

Please help me

An experiment involves rolling a die and flipping a coin. The following table shows the possible outcomes using the format of (die, coin).

Heads Tails
1 (1, H) (1, T)
2 (2, H) (2, T)
3 (3, H) (3, T)
4 (4, H) (4, T)
5 (5, H) (5, T)
6 (6, H) (6, T)

How many outcomes include an even number and a tail?

Enter your answer as a number, like this: 42

Answers

The outcomes of the die and coin experiment are its sample space

There are 3 outcomes that include an even number and a tail

How to determine the number of outcomes?

The sample space is given as:

Heads Tails

1 (1, H) (1, T)

2 (2, H) (2, T)

3 (3, H) (3, T)

4 (4, H) (4, T)

5 (5, H) (5, T)

6 (6, H) (6, T)

The outcomes that a even number and a tail are:

(2, T) (4, T) and (6, T)

The count of the above outcomes is 3

Hence, there are 3 outcomes that include an even number and a tail

Answers

Answer:

18:12

divide both sides by 3

6:4

divide both sides by 2

3:2

Carson rode his bike for 3 3/4 miles on Wednesday. On Thursday, he biked 1 1/2 times as far as on Wednesday. How many miles did Carson bike on Thursday?

Answers

Answer: 7½ miles

Step-by-step explanation:

15/4× 3/2 = 45/6

The bumper car ride at the state fair has 2 red cars, 2 green cars, and 4 blue cars. Devon is first in line for the

ride and is assigned a car at random. Akira is next in line and is randomly assigned a car. What is the probability

that both Devon and Akira will drive a red bumper car? Express your answer as a percent. If necessary, round

your answer to the nearest tenth.

Answers

90% both Akira and Devon are both first and second and the red bumper cars are most likely the choices that are closer to them

Molly is planting the flowers using the proportional relationship of 18 pink flowers to 12 white flowers per row what is the ratio of pink flowers per white flower per row.

Answers

Answer:

18:12

divide both sides by 3

6:4

divide both sides by 2

3:2

A microwave is placed on top of two boxes. One box is 2 feet 10 inches tall, the other box is 4 feet 7 inches tall, and the microwave is 3 feet 4 inches tall. How tall are they combined? Write your answer in feet and inches. Use a number less than 12 for inches.

Answers

Answer:

10 feet 9 inches.

Step-by-step explanation:

(24+10)+(48+7)+(36+4)

34+55+40

129 inches

10 feet 9 inches

I need help Point reward is 70!!

Answers

Answer:

A or -32

Step-by-step explanation:

Answer:

-32 or A

Step-by-step explanation:

See attachment

Consider the system of equations.

4x−3y=−22x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?

Division Property of Equality

Distributive Property of Equality

Substitution Property of Equality

Addition Property of Equality

Answers

Answer:

Addition Property of Equality

Step-by-step explanation:

I know because I just took the test and that if you added both problems together you would get 6x=4.

Use numerals instead of words. If necessary, use / for the fraction bar

Answers

DE should be 4.5 i think

where is my dad at right know as we speak

Answers

I don't even know :D

To be honest I dunno but thanks for 50 points

Giving Brainliest!! 50 points to each person who answers this!! What's the area of a trapezoid when we're given the following information below?
Base a of the trapezoid is 4.
Base b of the trapezoid is 16.
The height of the trapezoid is 7.
Show your work!!

Answers

Answer:

70 peeps

Step-by-step explanation:

Cause dat da ansar

A plus B times H divided by 2 equals 70

4 + 16 x 7 / 2 = 70

Answer:

A=a+b

2h=4+16

2·7=70

Step-by-step explanation:

:') I truely tried.

A coin is Flipped 3 times. What IS the probability that the coin lands heads up once and tails up twice if order does not matter?

Answers

Answer:

The probability that the coin lands heads up once and tails up twice is .375, or 3/8.

Step-by-step explanation:

Check the conditions for a binomial distribution problem:

Define success = heads and failure = tails.The number of trials is fixed; n = 3.Each coin flip is independent of the other.Probability p = .5 of getting either heads or tails.

We need to use combinations to determine the probability of getting one success (one head) and two failures (two tails).

The combination would be 3 choose 1: [tex]p = {3 \choose 1} (.5)^1(.5)^2[/tex].

There is one success and two failures, denoted by the superscripts above the probability p = .5.

Use a calculator to evaluate and we get:

[tex](3)(.25)(.5) = .375[/tex]

The probability that the coin lands heads up once and tails up twice is .375, or 3/8.

what is the volume of a cone with a base radius of 5 m and a height of 12 m

Answers

Volume of a cone = [(pi)r^2(h)]:3 = [3.14 (25m^2)(12m)]:3 = 314in^3.

The surface areas of two similar solids are 16 m
2
and 49 m
2
.

Find the volume of the smaller solid if the volume of the larger one is 538.

Round your answer to the nearest hundredth.

Answers

Answer:

its 3 sorry if im wrong

Step-by-step explanation:

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Find the nth term of this number sequence 7, 10, 13, 16, ... help please !!

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Find the nth term of this number sequence
7, 10, 13, 16, ...

help please !!