Find the 59th term of the arithmetic sequence 26,17,8

Answers

Answer 1

Answer:

-496

Step-by-step explanation:

The direct formula for the nth term of an arithmetic sequence is given by the formula:

[tex]x_n=a\cdot d(n-1)[/tex]

Where a is the initial term, d is the common ratio, and n is the nth term.

Let's find a and d.

From the sequence, we can see that the initial term or a is 26.

Also, each subsequent term is 9 less than the previous term. In other words, our common ratio is -9.

Therefore, our direct formula is:

[tex]x_n=26-9(n-1)[/tex]

To find the 59th term, substitute 59 for n:

[tex]x_{59}=26-9(59-1)[/tex]

Subtract:

[tex]x_{59}=26-9(58)[/tex]

Multiply:

[tex]x_{59}=26-522[/tex]

Subtract:

[tex]x_{59}=-496[/tex]

So, the 59th term is -496.

And we're done!

Answer 2

Answer:

-496

StepBy Step Explanation;


Related Questions

Myra saved $15 a month for 18 months. She bought a book for $46.50 and a tennis racquet for $129.95. How much does she have left? A. $93.55 B. $140.05 C. $186.55

Answers

Answer:

A

Step-by-step explanation:

15*18=270.

270-46.50=223.5

223.5-129.95=93.55.

A. $93.55

Reflect the following over the y-axis and find the coordinates of A':

Answers

The y axis is the vertical line so reflect shape in there

What is eighty-three hundredths in standard form

Answers

Answer:

.83

Step-by-step explanation:

hundredths means it is a decimal

In fraction form, it means over 100

83/100

.83

Answer:

0.83

Step-by-step explanation:

Just look at the part where it says hundredths or has the "ths" and youl know how to write it. However, not all types of standard forms are the same some have "and" in them and that means that you should put a decimal point.

please help fast brainiest for frost correct answer

Answers

Answer:

-2, -12

-1,-3

0,0

1,-3

2,-12

Step-by-step explanation:

Used algebraic calculator

Help!! An infomercial selling a product for "five low monthly payments of just $99" is using
which sales tactic?

Power of Nine
O Decoy Pricing
Daily Equivalent
Installment Pricing

Answers

Installment pricing

An infomercial selling a product for "five low monthly payments of just $99" is using the Installment Pricing sales tactic.

What is a Sales tactic?

Sales tactics are those actions that are designed to build trust with potential customers and inspire to buy with confidence.

An installment purchase agreement is a type of contract that is used to finance the purchase of assets. The buyer pays the seller the full purchase price over time through a series of partial payments under the terms of such an agreement. Interest, whether stated or implied, is included in the payments.

Installment payments are when a customer pays a bill in small amounts over a set period of time.

Therefore, Option (d)  is correct.

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What is a solution set?

Answers

Set of ordered pairs that make an equation true.

is this how you post anyway I'm in class on here looking for non serious questions
dump trump right,RIGHT?
BLACK LIVES MATTER right,RIGHT
sorry not to get political just bored and ready for ingrates who support trump ​

Answers

Black lives matter , yes they do

PREACH! BLM!!!! Trump is out and even tho he doesn't want to admit he lost, Biden won fair and square. If people support Trump than support him, but I tried to support him so many times trying to say positive stuff about him to make myself like him but it didn't work. Sorry but he about to lose his job fair and square.

The perimeter of a rectangular lot is 86 feet. The
length is 19 feet greater than the width. Find the
length and width.

Answers

Answer: width would be 7 feet and the length would be 26

Step-by-step explanation:

width : w

length: 19 +w

2l + 2w = 66

2(19+w) + 2w= 66 distribute

38 + 2w + 2w = 66 add the w values

38 + 4w =66 subtract 38 from both sides

4w = 28 divide by 4

w= 7

19+7= 26

l=26

Rearrange the formula for y2

Answers

Answer:

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = y2 - y1 / x1 - x2

m(x1 -x2) = y2 -y1

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

Multiply both sides by (x2 - x1)

m(x2 - x1) = y2 - y1

Add y1 to both sides

m(x2 - x1) + y1 = y2

y = m(x2 - x1) + y1

of people of the same sex and similar ages follow a Normal distribution reasonably closely. Weights, on the other hand, are not Normally distributed. The weights of women aged 20–29 in the United States have mean 161.9 pounds and median 149.4 pounds. The first and third quartiles are 126.3 pounds and 181.2 pounds, respectively. What can you say about the shape of the weight distribution? Why?

Answers

Answer:

Right-skewed

Step-by-step explanation:

The shape of the weight distributed is skewed, because the mean and the median are not equal.

Moreover, the distribution is right-skewed because the mean is greater than the median and because the mean is influenced by the tail of large values.

A daycare center has 4 infants and 11 toddlers what fraction of the children is infants

Answers

Answer:

4/11

Step-by-step explanation:

Infants are 4 out of the 11 children total.

Answer:

4/15

Step-by-step explanation:

Write the equation below in slope-intercept form.show your work

4x-10y=30

Answers

4x-10y=30
-10y=-4x+30
ANSWER : y=4/10+3
4x-10y=30
-10y=-4x+30
y=4/10+3

A virus reproduces by dividing into two, and after a certain growth period, it divides into two again. As the virus continues to reproduce, it will continue to divide in two. How many viruses will be in a system starting with a single virus AFTER 10 divisions

Answers

Answer:

1024 viruses

Step-by-step explanation:

1 (x2)

2 (first division) (x2)

4 (second) (x2)

8 (third) (x2)

16 (fourth) (x2)

32 (fifth) (x2)

64 (sixth) (x2)

128 (seventh) (x2)

256 (eigth) (x2)

512 (nineth) (x2)

1024 (tenth)

There will be around 1024 viruses, from single virus, in the system after 10 divisions. This is related to Linear equation.

Linear Equation

In the question we are provided with the information that the virus divides itself into two, at every time interval.

Hence, in the number system, we can write it down as 1, 2, 4, 8....to 10th divison. The linear equation will  be 2(2)^n-1.

Where n is equal to number of divisions, and the value 2 is the virus bening multiplied by 2.

Hence the value after 10th division will be 2(2)^10-1

2×2^9 = 1024.

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Is the square root of 58 a rational number

Answers

Answer:

The square root of 58 is a rational number if 58 is a perfect square.

Step-by-step explanation:

It is an irrational number if it is not a perfect square. Since 58 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 58?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

is this what you needed or

The square root of the number is A = √58 is not a rational number

Given data ,

Let the first number be represented as p

where the value of p = 58

Now , the square root of the number is expressed as

A = √58

The radical form of a number refers to expressing a number using a radical symbol (√) to represent a root.

It is used to express the roots present in the number.

So , A = √58

On simplifying , we get

A = 7.6157731058639082856614110271583...

On further simplification , we get

A = the square root of 58 is not a rational number

Hence , the square root of 58 is an irrational number because it cannot be expressed as a fraction of two integers

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PLEASE HELP WILL GIVE BRAINLEST PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation: 29-8=21 so im guessing just subtract bc from Ac and that's your evidence maybe?

Answer:

i´ḿ confused

Step-by-step explanation:

One serving a Velveeta contain 13% of the daily recommended amount of calcium If it is recommended that you get 1,000 mg of calcium daily how many milligrams are in one serving of Velveeta

Answers

Answer:

130 mg

Step-by-step explanation:

As the statement indicates that the daily recommended amount of calcium is 1,000 mg and that Velveeta contains 13% of that, you have to calculate the 13% of 1,000 to find the answer:

1,000*13%=130

According to this, there are 130 mg of calcium in one serving of Velveeta.

Evaluate the expression 2x + 3 + (x*x), for x=4
please help!

Answers

Answer is 27
2(4) + 3 + (4*4) = 8 + 3 + 16= 27

Solve for a:

2+5(a+3)= 6a + 10

PLEASE SHOW WORK!!!

Answers

Answer:

a = 7

Step-by-step explanation:

Expand the brackets

2 + 5a + 15 = 6a + 10

Rearrange by collecting the like terms

17 - 10 = 6a - 5a

7 = a

1. the process of generating broad conclusions
based on patterns, observations, and information

Answers

Answer:

Inductive reasoning

Step-by-step explanation:

In inductive reasoning, conclusions are made to generally explain other similar or related experience based on observations of a specific occurrence;

Inductive reasoning consists of making conclusions from a given data set

It is a logical thinking approach that makes use of available specific data to make generalization. It is the logical process commonly used by recruiters to seek new employees.

used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answers

Answer:

Length of the original square garage = 16.7ft

Length of the new square garage= 20.5ft

Percentage increase in the length of the side = 23%

Step-by-step explanation:

Yossi used to have a square garage with 280 ft? of floor space. He recently built an

addition to it. The garage is still a square, but now it has 50% more floor space. What was the length

of one side of the garage originally? What is the length of one side of the garage now? What was the

percent increase in the length of one side?

Area of the original square garage = 280ft²

Area of a square = length²

280ft² = length²

Find the square root of both sides

√280ft² = √length²

16.7ft = length

Length of the original square garage = 16.7ft

Area of the new square garage = 280ft² + 50% of 280ft²

= 280ft² + 0.5 × 280ft²

= 280ft² + 140ft²

= 420ft²

Area of a square = length²

420ft² = length²

Find the square root of both sides

√420ft² = √length²

20.5ft = length

Length of the new square garage= 20.5ft

Percentage increase in the length of the side = (new - old) / old × 100

= (20.5 - 16.7) / 16.7 × 100

= 3.8 / 16.7 × 100

= 0.23 × 100

= 23%

Percentage increase in the length of the side = 23%

Is this mapping diagram a function?

Answers

Include a photo attach a photo of the diagram

NEED HELP NOW PRETTY PLEASE Find an irrational number that is between 7.7 and 7.9. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.

Answers

Answer:

7.83539(never ending)....it is an irrational because it is not a repeating decimal and it is never ending...it cannot be turned into a fraction.

the decimal equivalent rounded to the nearest hundredth is : 7.84

f(x) = –2x2 + 17
Find f(10)

Answers

Answer:

If its -2x^2+17 the answer would be -183.

Step-by-step explanation:

-2(100)+17

-200+17

= -183

Answer:

Is this function inverse or symmetrical or what

Step-by-step explanation:

What is the value of the expression below

Answers

Step-by-step explanation:

Putting values of z and w

7z + 8w

7(8) + 8(8)

56 + 64

120

Answer:

Step-by-step explanation:

Putting values of z and w

7z + 8w

7(8) + 8(8)

56 + 64

120

Ronald can plant 1/5 of his corn crop 1/4 of an hour. How much of the crop can be planted in a hour?

Answers

Answer:

4/5 of his crop

Step-by-step explanation:

1/4 of an hour which is 60 minutes is 15 minutes mean 1/5 of his crop is planted in 15 minutes x 4 = 4/5 of his crop is planted within a 60 minute span

Andrew has one book that is 2 3/7 inches thick and a second book that is 3.56 inches thick. If he stack the books , about how tall will the stack be. Round to the nearest hundred

Answers

Step-by-step explanation:

= > 2 + (3/7) + 3.56

= > 2 + 0.43 + 3.56

= > 5.99 is the required answer

How do I simplify these expressions?
5(x+8)+3
3.6x-7-5.1x
4+8x+2.2-10x

Answers

Answer:

1. 5x +43

2. -1.5x - 7

3. 6.2 - 2x

Step-by-step explanation:

Equation 1:

5 (x+8) +3

First, we can distribute the 5 to the (x+8) and get 5x + 40. Distributing is when we multiply the 5 by the first number (x) and then by the second number (8) Because they aren't like terms (don't both have x's) we cannot combine then and must keep them separated by a subtraction sign

Now we have: 5x + 40 + 3

Next, we can combine the like terms. This means that any that have the same variable can be combined. So, the 5x has no other x's so he has to stay how he is. The 40 and the 3, however, can be added together to get 43.

Our finished equation is: 5x + 43

Equation 2:

3.6x - 7 - 5.1x

First, we can combine like terms as we learned in the last problem. This would be our x's since we have multiple.

We can add 3.6x and -5.1x and get -1.5x

Now we have: -1.5x - 7

Equation 3:

4 + 8x + 2.2 - 10x

We can start with either the numbers with x's or without but I'll just do the x's. So we have 8x and -10x. Adding these together would get us -2x.

Next, we can combine 4 and 2.2 and get 6.2.

Now, putting these back into our equation would look like this:

6.2 - 2x

I'm not sure how much my explanations helped, but I hope you understand!!

Given the zeros, write the polynomial.
x= -1, 1+3i

Answers

Answer:

I don't understand if i is a vraorable ro not

Step-by-step explanation:

The coordinates of point T are 0,3 the midpoint of st is 1,-2. Find the coordinate of point s

Answers

Answer:

(2,-7)

Step-by-step explanation

0x,3y         1x,-2y         (2,-7)

                Midpoint

the midpoint is +1x -5y so you would do this again to the midpoint so +1x=2x and -5y= -7 making it (2,-7)

Factor the following expression completely.

X^2+14xy+49y^2

Answers

Answer:

(x+7y)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x + 7y)(x + 7y)

x^2 + 7xy + 7xy + 49y^2

x^2 + 14xy + 49y^2

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