Find the 75th term of the following arithmetic sequence 16,25,34,43

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf 682}}[/tex]

Step-by-step explanation:

The nth term of an arithmetic sequence can be found using the following formula.

[tex]a_n=a+d(n-1)[/tex]

where a is the first term, d is the common difference, and n is the term.

First, we should find the common difference.

We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.

[tex]d= a_2-a_1[/tex]

The second term is 25 and the first is 16.

[tex]d= 25-16[/tex]

[tex]d=9[/tex]

Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.

[tex]d=9 \\a=16 \\n= 75[/tex]

Substitute the values into the formula.

[tex]a_{75}=16+9(75-1)[/tex]

Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

Solve the parentheses first.

[tex]a_{75}=16+9(74)[/tex]

Multiply next.

[tex]a_{75}=16+666[/tex]

Finally, add.

[tex]a_{75}=682[/tex]

The 75th term in the sequence is 682.


Related Questions

Triangle ABC is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers.


-----
What is the slope of line segment ab

Answers

Answer:

m=-4/3

Step-by-step explanation:

Rise/run

it goes up -4 units and over 3

-4/3

Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 meters wide. Compare the estimates to the exact perimeter.

Compare the estimates to the exact perimeter.


The estimate using measurements rounded to the nearest whole number is closer to the exact perimeter.

The estimate using measurements rounded to the nearest tenth is closer to the exact perimeter.

The two estimates are equally close to the exact perimeter.

Neither estimate is close enough to the exact perimeter to be useful.

Answers

Answer:

Part A: C

Part B: B

Part C: 15.91

Step-by-step explanation:

first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.

HELP!! It’s question 8

Answers

Answer:

the answer is 1.25 or 5/4

Answer:

Actual kitchen area equals 108 feet

Step-by-step explanation:

room turns into 12 ft. by 9 ft.

to find area: 12 x 9

Actual kitchen area equals 108 feet

A small band performed at a local church they estimated 50 people would attend but 80 people showed up to watch them play what is the percent error of the number of people who attended the event.

Answers

Answer:

im giving away 400 points ok so dont get mad at me

Step-by-step explanation:

The cost of gasoline varies directly with the number of gallons bought. If
4 gallons of gasoline cost $16.80, find the cost of 15 gallons.
Help please!

Answers

Answer:63 dollars 16.80÷ 4 = 4.20 4.20 × 15 = 63

Step-by-step explanation:

. The average life span of a huski dog is 4,380 days. How many years is
this?​

Answers

Answer:

it's almost 12 years

Step-by-step explanation:

Answer:

Your answer would be 12 years!

Hope this helps!

Select the slope and y-intercept of the relationship shown in the table

Answers

Answer:

slope = 0.05, y-intercept = 2,000

Hence, option A is true.

Step-by-step explanation:

x                              y

10, 000                   2,500

20, 000                   3,000

30, 000                    3, 500

Taking two points (10000, 2500) and (20000, 3000) to find the slope between the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{3000-2500}{20000-10000}[/tex]

[tex]m=\frac{1}{20}[/tex]

[tex]m=0.05[/tex]

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where 'm' is the slope and 'b' is the y-intercept

substituting the point (10000, 2500) and m=0.05 in the slope-intercept form

[tex]y=mx+b[/tex]

[tex]2500\:=\:0.05\left(10000\right)+b[/tex]

[tex]500+b=2500[/tex]

[tex]b=2000[/tex]

Thus, the y-intercept is: b=2000

Thus,

slope = 0.05, y-intercept = 2,000

Hence, option A is true.

Checking accounts can be accessed using checks, ATM machines, and wire transfers.
True or false

Answers

Answer:

I think it is True

Challenge You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $8.66. For Account B, the simple interest eamed after 33 months is $34.65. If the interest rate is 3.3% for Account A and 2.1% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer. Account A has a principal of $. (Round to the nearest dollar as needed.)​

Answers

Step-by-step explanation:

you have to defend saving account for account a decent wages and after 24 months in 26 is how can be the same creatures and after 30 months 34.6 $5 if the interest rate is 3.0% for accounting and private beach FL County how much is the first create account which account NG the most interesting person explain how the agency has baseball first round to the nearest Dollar is in the car so this guy if you know you know the one you want me to answer you come and tell me stop doing on since that was your own I mean if you have the correct answer you I hate you have to correct question because I can't see the question to answer because I just sold if interested to 2502 I can't see the real question here thank you

List 3 values that would
make this inequality true.
er.
C С
4 + g 29

Answers

Answer:

Three values that would make this true would be 5, 9, and 20.

You could choose any number that is greater than or equal to 5

48/8 = 42/x a. X=42 C. X = 8
b.x = 7
d.X = 6

Answers

Answer:

x=7

Step-by-step explanation:

x*48should be equal to 42*8

Use place value multiplication with powers of 10 or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and the dividend before dividing

Answers

Answer:

436.8 x 100 / 62.08 x 100 = 43680/6208

Step-by-step explanation:

When you write the problem as a fraction, multiply the numerator and denominator by 100.  Multiplying each by 100 resulted in both numbers being whole numbers. 436.8/62.08 is the same as 43,680/6,208.

According to Euclidean geometry, a plane contains at least

Answers

Answer:

ok

Step-by-step explanation:

wheres the rest

Reflect triangle ABC over the x-axis. Then translate the new triangle 5
units to the left. What are the coordinates of the vertices of the final image?

Answers

Answer:

The coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Step-by-step explanation:

Given the triangle with the vertices

A(-1, -8)B(-2, 2)C(5, 2)

We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reverses its sign.

Thus,

The rule of reflection across the x-axis:

(x, y) → (x, -y)

so

A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)

B(-2, 2) → B'(-2, -2) = B'(-2, -2)

C(5, 2) → C'(5, -2) = C'(5, -2)

Then, translate the new triangle 5  units to the left

Rule of translating 5 units to the left

(x, y) → (x-5, y)

so

A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)

B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)

C'(5, -2) → C''(5-5, -2) = C''(0, -2)

Therefore, the coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Answer: b

Step-by-step explanation:

please help me out if you can​

Answers

Answer:

A that's 250

Step-by-step explanation:

30\100x 12

a _ variable represented by the symbol h can take on any number of numeric values and allow arithmetic operations to be performed on it

Answers

Answer: It would be a Constant variable.

Hope this helps!

Please help! (3 c = ? fl oz)

Answers

Answer:

24 fl oz

Step-by-step explanation:

use the coordinates of the labeled points to find the point slope equation of the line (3, -5)

Answers

Answer: y + 5 = -3(x-3)

Step-by-step explanation:

A store is having a sale with a 19% discount on all merchandise. Write an
equation representing between the regular cost of merchandise (r) and
the discount received (d).
Your answer

Answers

Answer:

3

Step-by-step explanation:

First consider the system of equations y= -1/2x + 1 and y = x - 5. Then consider the system of inequalities y > -1/2x + 1 and y < x - 5. When comparing the number of solutions in each of these systems, which statement is true?

A. Both systems have an infinite number of solutions
B. The system of equations has more solutions
C. The system of inequalities has more solutions
D. Both systems have only one solution

Answers

Answer:

the answer is C, NOT B

Step-by-step explanation:

The system of inequalities will have more solutions than the system of equations , Option C is the corrrect answer.

What are Inequalities ?

Inequality is the relation between two unequal numbers or algebraic expression.

The inequality symbols are less than , greater than , less than equal to, greater than equal to.

It is given in the question that

the system of equations y= -1/2x + 1 and y = x - 5.

the system of inequalities y > -1/2x + 1 and y < x - 5.

x-5 = -1/2 x +1

2x+x=6*2

3x = 12

x = 4

x-5 >-1/2 x +1

x>4

The system of inequalities generally have more solutions and in this case definitely have more solutions than the system of equations.

To know more about inequalities

https://brainly.com/question/20383699

#SPJ2

What us the value of 6x - 3y if x = 5 and y = 1

Answers

Answer:

27!

Step-by-step explanation:

Heya! Considering that the question has already given you the values of x and y, all you are left to do is plug them back into the equation. The value of 6 multiplied by x- 5- gets you to 30. Since y is equal to 1, 3 multiplied by 1 gets you 3. 30-3 gets you to 27, so that is your answer. I hope this helped! (Please mark as branliest if I did happen to get this right. <3)

What is the product of 60?

Answers

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2.

Answer:

the product of 60 is 5×3×2×2

Find the value of x.

Answers

Step-by-step explanation:

the 3rd angle is 60 degrees

as it is an equalateral triangle, all the sides are equal. So we can say that

7x + 19 = 11x - 89

89 + 19 = 11x-7x

108 = 4x

x = 108/4

x = 27

HELP NOW

Write an equation of the parabola that passes through the point (62,−490) and has x-intercepts −8 and 72. Then find the average rate of change from x=−8 to x=2.

Answers

Answer:

y =  0.7(x^2 - 64x - 576)

Average rate of change = -49.

Step-by-step explanation:

As the x intercepts are -8 and 72 we can write the equation

y = a(x + 8)(x - 72)     where a is some constant to be found.

As it passes through point  (62, -490) we have, substituting:

-490 = a(62+8)(62-72)

-490 =  - 700a

a = 0.7

So the equation of the parabola

y = 0.7(x + 8)(x - 72) or

y =  0.7(x^2 - 64x - 576).

Average rate of change between x = -8 and x = 2

=  [0.7(2+ 8)(2 - 72) -  0.7(-8+8)(-8-72)] / (2 - -8)

= -490 - 0 /10

= -49

4/5 divided by 3/4 brtdegthyrewadetywwraejrydtse

Answers

Answer:

4/5 ÷ 3/4 = 1 1/15

Step-by-step explanation:

Answer:

1 11/20

Step-by-step explanation:

4

5

+

3

4

=  

4 × 4

5 × 4

+

3 × 5

4 × 5

=  

16

20

+

15

20

=  

16 + 15

20

=  

31

20

=  

1 11

20

Which inequality describes all the solutions to 5(3 – x) < -2x + 6?

Answers

Answer:

3 < x

Step-by-step explanation:

1. Use distributive property for 5(3-x)

2. add x to each side

3. subtract 6 from 15

4. divide 3 from 9

3 < x

Find the slope of regular AB, and make sure you reduce the fraction to simpelist form 

Answers

haha this is hard LANAKAKKAKSKSJSNSNANAMAIJSJAKAKAKAJJNNSNSNNNSNSNNS

Please help me asap!!!

Answers

Answer:

[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]

Step-by-step explanation:

Given

Stores and Parking Lots

Required

Determine the area as a sum of area of stores and area of parking lots

First, calculate the area of the stores

The dimension of store A is: 25 by 10

The dimension of store B is: 25 by w

The dimension of stores A and B (as an entity) is: 25 by 10 + w

The area is then calculated as:

[tex]Area = 25 * (10 + w)[/tex] -------- A1

Next, calculate the area of the parking lots

The dimension of parking lot A is: 13.5 by 10

The dimension of parking lot B is: 13.5 by w

The dimension of parking lots A and B (as an entity) is: 13.5 by 10 + w

The area is then calculated as:

[tex]Area = 13.5 * (10 + w)[/tex] -------- A2

The area of the shopping center is then calculated as:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]

3.50x – 30 = 40 , solve this equation.

Answers

Answer:

x=20

Step-by-step explanation:

add the to both sides

3.5x=70

divide both sides by 3.5

x=20

xoxo, your highness...
X=20
Add the both sides

Please give me the correct answer ​

Answers

Answer:

i dont think so.

Step-by-step explanation:

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