What is the common difference d of the sequence nine -8 -25 -42 -59

Answers

Answer 1

Answer:

The common difference d in the given sequence is -17

Step-by-step explanation:

We need to find the common difference d of the following sequence 9 -8 -25 -42 -59

We have a₁ = 9

and a₂ = -8

The formula used is: [tex]a_n=a_1+(n-1)d[/tex]

By putting values we can find the value of d

We have n=2, a₂ = -8, a₁ = 9 and we need to find d

[tex]a_n=a_1+(n-1)d\\a_2=a_1+(2-1)d\\-8=9+d\\d=-8-9\\d=-17[/tex]

So, the common difference d in the given sequence is -17


Related Questions

Luis rides his bicycle 34 mile in 5 minutes along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Answers

Answer: 6.8 Miles per hour. Hope i helped you out man!

Step-by-step explanation:

408 miles per hour

Step-by-step explanation:

34=5 minutes 34+34=68 minutes

68 x 6= 408 miles per hour

PLS HURRY!!
Pi is 3.14. What is the Golden Ratio?

Answers

Answer:

Step-by-step explanation:

Also known as the Golden Section, Golden Mean, Divine Proportion, or the Greek letter Phi, the Golden Ratio is a special number that approximately equals 1.618. ... The Fibonacci sequence is the sum of the two numbers before it. It goes: 0, 1,1, 2, 3, 5, 8, 13, 21, and so on, to infinity.

Answer:

1 + square root of 5 divided by 2

Which table represents a linear function?

Answers

Answer:

The top right option.

Step-by-step explanation:

Hi! I need help with some math questions. Not problems though, I’ll show what I mean.

It says, “Why do you think it is important to include negative numbers in our number system?”, and, “What is special about zero (0)?”

Would appreciate it if you helped!

Answers

Answer:

Negative numbers are most important especially in the field of physics and chemistry. They help us in real life geometry and in almost everything. The discovery of the number system has changed the human civilization to such a great extent, that, without it, we can't even think of architectures and the nature's law(by calculus).

Dominantly, zero is the most ever used number and is very important to express anything.

Without it, you couldn't have the digital world (simply, no computers, no phones, no machines and no A.I.).

As we all know, Dr. Aryabhatta, the legendary guy, who made the no. '0', holds the credits!

I hope it will be useful.

Answer:

Step-by-step explanation:

i think it is important to add a 0 to know where the numbers start

Help me out with this question (geometry)

Answers

Answer:

Number C is the answer

Step-by-step explanation:

The real relation between them is <EBF = 1/2 <ABC

Gereome has an hour and half before he has to leave to play basketball. If it takes him 7/12 an hour to do his homework and ⅗ of an hour to find his uniform, how much time will he have left?

Answers

Answer:

Summarize the end of the story and explain the resolution— when the conflict is solved :

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Summarize the end of the story and explain the resolution— when the conflict is solved :

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Summarize the end of the story and explain the resolution— when the conflict is solved :

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Summarize the end of the story and explain the resolution— when the conflict is solved :

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Summarize the end of the story and explain the resolution— when the conflict is solved :

At the end of the story...

Summarize the end of the story and explain the resolution— when the conflict is solved :

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Summarize the end of the story and explain the resolution— when the conflict is solved :

At the end of the story...

Summarize the end of the story and explain the resolution— when the conflict is solved :

At the end of the story...

Summarize the end of the story and explain the resolution— when the conflict is solved :

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Summarize the end of the story and explain the resolution— when the conflict is solved :

At the end of the story...

Summarize the end of the story and explain the resolution— when the conflict is solved :

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Summarize the end of the story and explain the resolution— when the conflict is solved :

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Step-by-step explanation:

What is the solution to the system of equations ?
Y=4x-10
Y=2

Answers

Answer:

x = 3

Step-by-step explanation:

If Y = 2, lets plug it in.

2 = 4x - 10

reverse operations,

4x = 12

x = 3

D is the answer.

Answer:

d  (3, 2).

Step-by-step explanation:

Y=4x-10

Y=2

PLug y = 2 into the first equation:

2 = 4x - 10

12 = 4x

x = 3.

The solution (x, y) = (3, 2).

help me please this do in 5 MIN

Answers

Answer:

B

Step-by-step explanation:

Because 7/12 is more then a half

Also its obvious that 1/8 is the least used

A peep increased by 25% is a pop. A pop decreased by 40% is a slug, and a slug increased by 100% is a slap. What percent of a peep is a slap

Answers

Answer:

A slap is 120% of a peep

Step-by-step explanation:

We shall make use of values here

Let a peep be value of 100

A pop is 100 + 25% of 100

= 100 + 0.25(100) = 125

Pop = 125

A slug is pop deceased by 40%

= 125 - (40% of 125)

= 125-(50) = 75

A slap is a slug increased by 100%

= 75 + (100% of 75)

= 75 + 75 = 150

So now, we want to calculate percent of peep is a slap

That will be;

150/125 * 100%

= 120%

please help brainlyest to correct

Answers

Answer:

[tex]22961.5 cm^{2}[/tex]

Step-by-step explanation:

[tex]V = \pi r^{2} h[/tex]

30/2 = 15 (to find radius, r)

[tex]V = 3.14 * 15^{2} * 325[/tex]

[tex]V = 22961.5 cm^{2}[/tex]

The movie rental store CineStar offers customers two choices. Customers
can pay a yearly membership of $45 and then rent each movie for $2 or they can
choose not to pay the membership fee and rent each movie for $3.50. Which
would you choose and why?*

Answers

Answer:

The yearly fee + $2 per movie

Step-by-step explanation:

Because lets say you rent 50 movies per year. Well with the yearly fee its $145. But with no yearly fee and just $3.50 per movie it’s $175.

Irina plotted the number of participants in a summer camp program on a coordinate plane to create the following scatterplot. Which graph shows the line of best fit for this scatterplot?

Answers

Answer: A or the first graph on edge 2021

Step-by-step explanation: Just took the test good luck

Answer:

The first graph (A)

Step-by-step explanation:

how do they know what numbers to pick

Answers

Answer:

casue i said so

Step-by-step explanation:

me coooooooooooooooooo

Pls help extra points and mark brainlist

Answers

Solution:

⇒ 8 + 8/1*4
⇒ 8 + 8/1
⇒ 8 + 8
⇒ 16
Thus the final answer is 16.



Note:
• “/“ indicates numerator and denominator
• “*” indicates power
• Step 1: Any power to 1 is always 1 unless it’s negative
• If there is no denominator mentioned, it is understood that the denominator is 1

What is 14 out of 28 expressed as a fraction?​

Answers

Answer:

14/28 is already a fraction but if you simplify it will be 1/2 or 50% as a percentage

Answer: 14/28 but 1/2 as a fraction in simplest form

Step-by-step explanation:

14*2=28 this means that 14 is half or one half of 28 which is why 1/2 is 14/28 in simplest form.

Only put 1/2 if you don’t see the fraction 14/28.

Hope this helps

6th grade math help me plzzz

Answers

Answer:  x-3y+12

Step-by-step explanation:

You need to know the rules for signed numbers.  Study them.

Assuming addition of integers:

Separate your like terms and simply them:

so starting with x terms: -3x+4x ; (4x is the same as saying +4x)

so next with y terms: -2y-y; (remember -y is the same as saying -1y)

so next number with no terms: +7+5

Solve for each:  -3x+4x= 1x

                          -2y-y= -3y

                           +7+5= 12

Simplify expression with solved termsin order:  1x-3y+12

ans: x -3y +12

Hope this helped.

Jesse drank 3/4
liter of water Monday before going jogging. He drank 3/5
liter of water after his jog. How much water did Jesse drink altogether? Write your answer as a mixed number.

Answers

Answer:

1 7/20

Step-by-step explanation:

You want to add 3/4+3/5, but they need to have the same denominator. A common factor for 4 and 5 is twenty, so multiply 3/4 by 5/5 and 3/5 by 4/4. This will give you 15/20 + 12/20. You can add this to get 27/20, or 1 7/20 as a mixed number

through: (5, 1), slope = -1

Answers

Answer:

y = -x + 6

Step-by-step explanation:

Since the slope is -1, there is another point at (6,0), which is the x-intercept. The y-intercept is (0,6). The slope and y-intercept are then plugged into the slope-intercept form equation to get y = -x + 6

You are helping your friend research hybrid cars. You learn that on a long- distance trip, the Chevrolet Volt traveled 571.95 miles on 12.3 gallons of gas. You also learn that the Toyota Prius traveled 753.48 miles on 15.6 gallons of gas. Determine which car got better gas mileage.


A Toyota Prius

B Chevrolet Volt


C The Two Hybrids Are Tied for the best mileage

D Not enough information to determine The answer​

Answers

Answer: A) Toyota Prius

========================================================

Explanation:

To get the mileage per gallon, you divide the number of miles over the number of gallons.

For the Chevy Volt, the mileage is 571.95/12.3 = 46.5 miles per gallon (mpg)

For the Prius, the mpg rating is 753.48/15.6 = 48.3

So the Toyota gets the better mileage per gallon.

---------

If you're curious why we divide the numbers like that, consider this example

You drive 200 miles using 5 gallons of gas. We can form the ratio

200 miles : 5 gallons

To get the mpg rating, we need to know how many miles we can drive on 1 gallon of gas. So we divide both sides by 5

200/5 miles : 5/5 gallons

40 miles : 1 gallon

This hypothetical situation leads to 40 mpg

Help a random guy of the internet...that sounds weird

Answers

Answer:

I think 1 is yr answer

hope it helps.

(2x + 6) + (9x - 5)
???

Answers

Answer:

11x + 1

Step-by-step explanation:

(2x + 6) + (9x - 5) =

2x + 6 + 9x - 5 =

2x + 1 + 9x =

11x + 1

Answer:

The answer is 11 x  +  1

Step-by-step explanation:

simplify the expression (8a^(m+3))^3 * (1/4a^(1−m))^6

Answers

Answer:

8a^(15 - 3m)

Step-by-step explanation:

Simplifying in steps:

(8a^(m+3))^3 * (1/4 a^(1−m))^6 =(2^3)^3a^(3(m+3)) * (2^-2)^6a^(6(1-m))2^9 a^(3m+9) * 2^(-12) a^(6 - 6m) =2^(9 - 12) a^(3m + 9 + 6 - 6m) =2^3 a^(15 - 3m) =8a^(15-3m) =

Answer:

(a^-3m+15)/8

Step-by-step explanation:

Please help me?!!!!!!!

Answers

Answer:

The last one: 12x + 3

Step-by-step explanation:

6 + 4(3x - 2) + 5

6 + 12x - 8 + 5

12x + 6 - 8 + 5

12x + (-2) + 5

12x + 3

a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion?

Answers

Answer:

1/12 lb

Step-by-step explanation:

2/3 x 1/8 = 2/24 = 1/12

Answer: 1/12

Step-by-step explanation: 2/3 / 8/1 is actually multiplying the first number by the reciprocal of the second. So 2/3 x 1/8. That equals 0.08333... or 1/12.

Hope this helps!

Marisol drove 3 hours from City A to City B. The equation below estimates the distance d, in
miles, Marisol traveled after driving for t hours.
d = 45t

Answers

Answer:

Step-by-step explanation:

D*RT

D=45*3

D=135

Marisol drove 135 MI.

The Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

According to the question

Marisol drove for  from City A to City B = 3 hours

Equation below estimates the distance d, in miles for t hours.

d = 45t

now , substituting the value

d = 45 * 3

d = 135 miles

Hence, the Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .

To know more about Equation here:

https://brainly.com/question/10413253

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Mario's net worth is $8,250.63. His liabilities are $3,222.35. What is the value of his assets?

and another question
Lizzie's net worth is $3,285.22. Her assets are $6,255.85. What is the dollar amount of her liabilities?

Answers

Answer:

.

Step-by-step explanation:

Answer:

1) $11472.98

2) $2970.63

Step-by-step explanation:

What angle is supplementary to AGF?

Answers

Answer: B. Angle FGD.

A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 213 pounds

Answers

Answer:

Step-by-step explanation:

The missing image is attached below.

From the given information

The number of players is 44.

From the box plot;

The minimum weight = 154 pounds

The first quartile Q₁ = 159 which is 25% of the data below 159 pounds.

The second quartile Q₂ = 213 which is 50% of the data below 213 pounds

The third quartile Q₃ = 253 which is 75% of the data below 253 pounds

The maximum weight = 268 pounds.

Here, the value of 213 is the middle value and which signifies the median.

The 50% of the data are located both on the left side and the right side of the median.

Thus, the percentage of players weighting greater than or equal to 213 pounds is 50%.

About 10% of Americans will go to a restaurant or an event for the New Year. About how many people would that be?

Answers

Answer:

About 33,199,213

Step-by-step explanation:

Population of America: about 331,992.130 million

331,992,130 x .10 = 33,199,213


Christian opened a savings account with $3250. His account will earn 5.2% simple interest.
How much money will be in his account after 6 years?

Answers

The total amount of money will be in his account after 6 years is $4264.

Given that, principal = $3250, rate of interest = 5.2% and time period = 6 years.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Substitute P=$3250, R=5.2% and T=6 years in simple interest formula

That is, S.I. = (3250 × 5.2 × 6)/100

= $1014

Amount = Principal + Simple interest

= 3250 + 1014

= $4264

Therefore, the total amount of money will be in his account after 6 years is $4264.

To learn more about the simple interest visit:

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