The common difference of the arithmetic sequence

The Common Difference Of The Arithmetic Sequence

Answers

Answer 1

Answer:

its 1/3

Step-by-step explanation:

please mark it as brainliest!!<3

Answer 2

Answer:

We conclude that the common difference of the Arithmetic sequence is: 1/3  

Step-by-step explanation:

Given the Arithmetic sequence

1/2, 5/6, 7/6, 3/2, 11/6

We know that an Arithmetic sequence has a constant common difference.

Let us compute the common difference 'd' of all the adjacent terms

[tex]\frac{5}{6}-\frac{1}{2}=\frac{1}{3},\:\quad \frac{7}{6}-\frac{5}{6}=\frac{1}{3},\:\quad \frac{3}{2}-\frac{7}{6}=\frac{1}{3},\:\quad \frac{11}{6}-\frac{3}{2}=\frac{1}{3}[/tex]

The difference between all the adjacent terms is the same and equal

Therefore,

[tex]d=\frac{1}{3}[/tex]

Hence, we conclude that the common difference of the Arithmetic sequence is: 1/3  


Related Questions

Find the area of the shaded region.

Answers

Answer:

42.14

Step-by-step explanation:

First find the area of the square:

14x14=196

Then find the area of the circle:

It has a diameter of 14 so divide it by 2 to get the radius.

Then use the formula πr²

7²=49

49x3.14=153.86

Then subtract

196-153.86=42.14

helpppppppppppppppppp​

Answers

Answer:

38 m²

Step-by-step explanation:

Area of the trapezoid:

A = 1/2(b1 + b2)hA = 1/2(4 + 15)*4 = 38 m²

Area of trapizoid:-

[tex]\blue{A=\dfrac{1}{2}(b_1 +b_2)×h }[/tex]

According to the question,

[tex]\bold{\dfrac{1}{2}×(4+15)×4 }[/tex]

[tex]\bold{\dfrac{1}{2}×(19)×4 }[/tex]

[tex]\bold{\dfrac{1}{\cancel{2}}×(19)×\cancel{4}}[/tex]

[tex]\bold{19×2 ~m^2 }[/tex]

[tex]\bold{ 38~m^2 }[/tex]

4
Slope
=-
y-intercept = 5
5'
B) y=1
4
A) y=-x + 5
5
2
C) y=-x+ 5
5
4
--x + 5
5
2
D) y = 5x +
5
OA

Answers

Answer:

A.    

Step-by-step explanation:

y=mx + b where m is the slope and b is the y-intercept.  So substituting 4/5 for m and 5 for b, you get answer A.

describe how to derive the quadratic formula a quadratic equation in standard form

Answers

Answer:

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.

5(−2n + 4) + (n - 3)=

Answers

The answer to the question is: -9n+17

How to identify if the problem is a sample deviation problem or a population deviation problem?

Answers

Answer:

what?????????????????

A manufacturing company has 1000 employees. 10% of the employees earn less than
Rs.500 per day, 200 earn between Rs.500 and Rs.999; 30% earn between Rs.1,000
and Rs.1,499; 250 employees earn between Rs.1,500 and 1,999 and rest earn Rs.2,000
and above. Calculate the suitable average wage. Give the reason for your choice of
average.​

Answers

Answer:

heehhe

Step-by-step explanation:

vwhehehhehdhdhd

Steven is building a rectangular wooden frame for his mattress. If the mattress is 7 feet long by 6 feet wide, what is the
perimeter of the mattress?
OA. 42 feet
OB. 13 feet
OC. 21 feet
OD. 26 feet

Answers

Answer:

C| 21 feet is your answer .

Step-by-step explanation:

7×3=21 3×7=21

c is the answer to your problem.

Standard form of 4/6x+5

Answers

Answer:

y=-6x-5

Step-by-step explanation:

How do I multiply decimals with whole numbers?
EX: 8.33x40=

Answers

Just like regular multiplication. Since 8.33 has two spaces after the decimal point, the answer would also have two spaces after the decimal point.

Joshua shops at two different stores for a new phone.
Cheap Cell: Only $150, plus an instant 15% rebate
Cells For Less: Regular Price $150 sale price $125
How much money can Joshua expect to save at Cheap Cell?

Answers

He should expect to save $22.50 because 150*0.15=22.5

Please help with all three will give brainliest and $5

Answers

[tex]\frac{x}{y}[/tex]Answer:

Six would be your answer

Step-by-step explanation:

2y-9= y-2

-y        -Y

y-9=-2

y=-2+9

y=6


An account has a principal of $500 and a
simple interest rate of 3.3%. How much interest
would be earned after 3 years?

Answers

Answer:

$49.50

Step-by-step explanation:

Simple interest formula => interest = principal x rate x time period

interest = 500 x .033 x 3 years

interest = 49.50

I hope this helps!

-TheBusinessMan

What is the factored form of the expression x2−4x ?

Answers

Answer: x(x-4)

Explanation: Just factor out x from the expression

The factored form of the expression x² - 4x is,

⇒ x (x - 4)

We have to given that,

To find the factored form of the expression x² - 4x.

We can find the factored form as,

⇒ x² - 4x

Take x as common,

⇒ x (x - 4)

Therefore, The factored form of the expression x² - 4x is,

⇒ x (x - 4)

Learn more aboput the multiplication visit:

brainly.com/question/10873737

#SPJ6

Evaluate the function for
g (-2).
If g(x)= -6x+3, find g(-2).

Answers

Answer:

Step-by-step explanation:

21 bro

Answer:19

Step-by-step explanation:

Write the equation to go with the given information.
8) A bee flies at a rate of 8ft/sec directly to a
flowerbed from its hive. The bee stays at
the flower bed for 1200 seconds, then flies
directly back to the hive at 4ft/sec. It is
away for 2800 seconds. What equation can
you use to find the distance of the flowerbed
to the hive.

Answers

Answer:

Equation is;

(D/8) + (D/4) = 1600

D = 4266.67 ft

Step-by-step explanation:

We are told that the bee flies at a rate of 8ft/sec directly to a flowerbed from its hive. Thus,

speed during this stage is; v1 = 8ft/sec

Time during this stage is; t1

The bee stays at the flower bed for 1200 seconds.

Thus, time at this stage is; t2 = 1200 s

It flies directly back to the hive at 4ft/sec.

Speed at this stage; v2 = 4 ft/s

Time at this stage; t3

We are told that it was away for a total of 2800 seconds.

Thus; t1 + t2 + t3 = 2800

Since t2 = 1200 s, then;

t1 + 1200 + t3 = 2800

t1 + t3 = 2800 - 1200

t1 + t3 = 1600

Now, during time t1, the speed was 8ft/sec, since distance is equal to speed × time, then we have;

D = 8t1

t1 = D/8

During time t3, the speed was 4ft/sec. Thus; D = 4t3

t3 = D/4

Thus,since t1 + t3 = 1600

Then;

(D/8) + (D/4) = 1600

Multiply through by 8 to get;

D + 2D = 1600 × 8

3D = 12800

D = 12800/3

D = 4266.67 ft

JELPPPPP it’s due in 5 mins

Answers

The answer is 65

Step-by-step explanation:

all you had to do was divide

The answer is 65!!!!

What is the solution to this equation? 3 square root (1/8-x)=-1/2
NEED ANSWER ASAP please

Answers

Answer:

x is 10

Step-by-step explanation:

Jordan invests £16200 into his bank account
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate​

Answers

Answer:

18225

Use the formula: .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

Simplify.

A=16200(1+(0.025)(6))

Answer:

£18,225

Step-by-step explanation:

2.5% of £16,200 = £405

10% of £16,200 = £1,620

5% of £16,200 = £810

5 years: 16,200 + 5 x 405 = £18,225

I I’m just going to quit brain lay because everyone here is just autistic
But if u steel wanna help me than it u can do these problems.
:/

Answers

Answer:

Read the part where it says; These raptors eat primarily flying insects, so they do most of their hunting on the wing.

Step-by-step explanation:

                            </3 PureBeauty

The table shows the numbers of pictures you upload to a social media website for 5 days in a row. How many total pictures do you upload during the week when 32% of the total pictures are uploaded on Saturday and Sunday?

Answers

Answer:

I think it's my choice. ;-)))

When x is a negative integer and y is a positive integer, the statement
below is always true. *

Answers

The statement is always false

PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.


Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.



Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.

Answers

Answer:

part A: 17 weeks sorry if its wrong

part b: 120 hours sorry if its wrong

Step-by-step explanation:

Math

Pls hlp<3 Given ΔBCD ~ ΔEFG. Find the length of BC.

Answers

Answer:

120

Step-by-step explanation:

180-35-25=120

or

35+25=60

180-60=120

Answer:

BC = 200/7 ≈ 28.57

Step-by-step explanation:

Set up a proportion to solve for the missing side length.

BC/CD = FE/EG

BC/25 = 16/14

BC = 16/14 · 25

BC = 200/7 ≈ 28.57

Cat face 2 la puterea 81?
How much is 2 to the power of 81?

VA ROG ESTE SUPER URGENT!
PLEASE ITS SUPER URGENT!

Answers

Answer:

[tex]2.418 * 10^{24}[/tex]

Step-by-step explanation:

[tex]2^{81}[/tex] = [tex]2.418 * 10^{24}[/tex]

OR

Approximately:

2417851639000000000000000

BRAINLIEST
Please help ASAP and leave a small explanation :)

Answers

1 and 8 are because they are alternate exterior angles

To find the quotient of 4-5 multiply 4 by

A. 1/5

B. 1/4

C. 4

D. 5



Answers

Answer:

5

Step-by-step explanation:

when dividing number by fractions,we can simply multiply the number by the reciprocal of the decimal

so,4÷1/5=4 ×(reciprocal of 1/5 )

A reciprocal of a number is the same no.written under 1 aka.1divided by that number which simply is flipping

numerator and denominator .

reciprocal of 1/5 is 5/1 =5

so 4÷1/5 = 4×5

so answer is 5

hope this is helpful

solve for x, x+25 70 degrees

Answers

Answer:

70-25=45

45+25=70

Step-by-step explanation:

During a sale, a store offered a 40% discount on a tablet that originally sold for $760.
After the sale, the discounted price of the tablet was marked up by 40%.
To the nearest cent, what is the difference between the original price $760 and the price after the markup?

Answers

Answer:

304

Step-by-step explanation: x/760 40/100=

760x40=30,400

30,400 divided by 100=304

Ben is 121212 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 444 times as old as Ishaan.
How old is Ben now?

Answers

Answer:

I think you may have this worded wrong Ben is 12 12 12 years older is it 12 years older and then four times older as?

Step-by-step explanation:

if so your answer is 7

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