Given the arithmetic sequence 2, -7, -16, -25, ..., determine the
general term tn.

Answers

Answer 1

Answer:

Step-by-step explanation:

Common difference is -9.

t_1 = 2

t_n = t_1 - (n-1)9

= t_1 - (9n - 9)

= 2 - (9n - 9)

= 11 - 9n


Related Questions

Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super Savings Coupon of 45%, how much did Ms. Rowlen pay for the TV?

Answers

Answer:

116.55$

Step-by-step explanation:

[tex]259 \times \frac{45}{100} = 116.55[/tex]

Justin spends $15 at the grocery store. He buys a loaf of bread for $3 and buys 112 pounds of cheese. What is the price per pound of cheese?

Answers

Answer:

the answer is

Step-by-step explanation:

p, price per pound of cheese

The required price per pound of cheese is approximately $0.11.

What is the definition of simplification?

The process of removing unnecessary terms, factors, or operations from an expression using arithmetic and algebraic rules is known as simplification.

Here,
If Justin spent $15 at the grocery store and the loaf of bread cost $3, then the amount he spent on cheese is:

$15 - $3 = $12

To find the price per pound of cheese, we need to divide the total cost of the cheese by the number of pounds. We are given that Justin bought 112 pounds of cheese, so we can set up the following equation:

price per pound of cheese = total cost of cheese/number of pounds of cheese

Plugging in the values we know, we get:

price per pound of cheese = $12 / 112 pounds

price per pound of cheese = $0.11

Therefore, the price per pound of cheese is approximately $0.11.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ3

Marco runs 4 kilometers every morning. He takes 2 minutes for the first 500 meters, 4 minutes for the next 2000 meters, 1 minute for the next 700 meters, and 3 minutes for the rest.

Marco’s average speed for the entire run is__320___ meters per minute. Hint : One kilometer is the same as 1,000 meters.

Answers

Answer: 400 meters per minute.

Formula to find average speed: total time / total distance

Total time taken is 2+4+1+3 which is 10 minutes.

Total distance traveled is 4 kilometers.

(Unitary method)

In 10 minutes Marco runs 4 kilometers.

In 1 minute Marco will run 4/10 (0.4)kilometers.

Now to convert 0.4 kilometers to meters,multiply it by 1000.

0.4 * 1000 is 400 meters

so the final answer is he will run 400 meters in 1 minute.

Y'all... Please help I need help with freaking math...

Answers

15% of 850 is 127.5 and therefore the laptop would be reduced by 127.50

The sale price of the laptop is 722.50

What is the slope of the line that goes through the points (1,-5) and (4,1)?

A. -4/3

B. -3/4

C. 1/2

D. 2

Answers

Answer: m = 2

Step-by-step explanation:

What we know:

The slope needs to pass through the points (1, -5) and (4, 1)There are 4 potential slopes given to us- only one is correctWe need to find the slope and make sure it is an option

How to solve:

By using the slope equation and the two points given to us, we can calculate the slope.

Process:

Set up equation                                                 (y2 - y1) / (x2 - x1)Substitute                                                            (1 +5 ) / (4 - 1)Simplify                                                                6 / 3Simplest form                                                      2/ 1 =

Slope =                                                                          2

Solution: m = 2

What is the exact value of tan(−π4)?

Enter your answer in the box.

Answers

Answer:

What is the exact value of tan(−π4)? is 20

IF YOUR QUESTION IS...

What is the exact value of tan(-pi/4)?

Answer: -1

PLEASE HELP ASAP What is the m and b for this graph??

Answers

Answer:

m = - 1 and b = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{2-(-3)}[/tex] = [tex]\frac{-5}{2+3}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1

b is the y- intercept, that is where the graph crosses the y- axis.

line crosses the y- axis at (0, - 1 ) ⇒ b = - 1

300 milliliters per 'minute = ?
liters per hour

Answers

Answer:

300 millilters per min = 18 liters per hour

Step-by-step explanation:

A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory

Answers

200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:

250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000

Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Learn more about maths in https://brainly.com/question/25865591

8[tex]x^-{4/3}[/tex]

Answers

Answer:

6

Step-by-step explanation:

8x

[tex] 8x - \frac{4}{3} = 0 \\ 8x = \frac{4}{3} \\ 24x = 4 \\ x = 6[/tex]

Calculate the value of 2x and 3x

Answers

Answer:

2x= 88

3x = 132

Step-by-step explanation:

The sum of the angles  that form a circle is 360

2x+3x+140 = 360

5x+140 = 360

5x+140-140 = 360-140

5x= 220

Divide by 5

5x/5 = 220/5

x=44

2x= 2*44=88

3x = 3*44=132

I NEED HELP PLEASE SHOW WORK ON A PIC

Answers

answers and step by step work on following picture

As per question

We shall proceed in graphical way

2x+4y≥8x+2y≥4--(1)

And

x-4y<6--(2)

Graph attached

Graph x <3
Please help me

Answers

Answer:

Step-by-step explanation:

What’s the area of a triangle with sides of 24, 38 and 14

Answers

Area of triangle formula: 1/2 * base * height.

So with the given information it is not possible for me to find the area. Only perimeter is possible.

Find the first three term if the general nth term is T = 2-n

Answers

Tn = 2n - 6

to find first term ,n= 1

substitute n for 1 in the equation

T1 = 2(1) - 6

T1 = 2 - 6 =-4

to find second term , n =2

substitute n for 2 in the equation

T2 = 2(2) - 6

T2 = 4 - 6 = -2

to find third term, n = 3

substitute n for 3 in the equation

T3 = 2(3) - 6

T3 = 6–6 = 0

FIRST TERM = -4

SECOND TERM = -2

THIRD TERM = 0

M=7 v=32 p=mv solve for P
I really really need help on this

Answers

Answer:

since m=7 and v=32

p= 7• 32

p= 224

Need A Ride Driving company charges a $1.50 flat rate in addition to $0.50 per mile for a car ride. Kathy has exactly $20.00 to spend on a car ride. The following equation represents this information: 1.50 + 0.50m = 20

Answers

The miles Kathy can ride is 37 miles.

Given this equation, 1.50 + 0.50m = 20, in order to determine the miles Kathy can ride, the following steps would be taken:

Combine similar terms

0.50m = 20 - 1.50

Add similar terms together

0.50m = 18.50

Divide both sides of the equation by 0.50

m = 37 miles

To learn more, please check: https://brainly.com/question/13813779

Please help with this I will mark you as brainliest

Answers

Answer:

The answer is t = 0.25

Step-by-step explanation:

Answer:

t = 0.25

Step-by-step explanation:

pls answer quickly

the spring scan shows mass in kilograms what is the mass shown here?

A) 2.5kg

B) 7.5kg

C) 12.5kg

D) 17.5​

Answers

7.5 kg
Hope this helps!

Answer:

B) 7.5kg

Step-by-step explanation:

It is between 5kg and 10kg, so it would be 7.5kg.

jonathan sells clothes and makes a 4% commission. On sunday, jonathan sold $768 worth of clothes. How much was his commission on his sunday?

Answers

Answer:

768x4%= 30.72

His commission was $30.72

Step-by-step explanation:

9(2x129) = ?
Please help me im suffering math is hard

Answers

Answer:

18x^129

Step-by-step explanation:

Answer: That would be 2,322!

Step-by-step explanation:

What is the end behavior of the function f(x) = −x3 + 2x2 + 4x + 5

Answers

if any doubt leave a comment

56 x 4 + 5 - 53=x
(x) x 23 + 500

Answers

Step-by-step explanation:

56× 4=224

224+5= 229

229-53=176

176×23=4048

4048+500=4548

The answer is = 4548

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

56*4+5-53-(x*(x)*x^23+500)=0

Step by step solution :

STEP
1
:

STEP
2
:
Pulling out like terms

2.1 Pull out like factors :

-x25 - 324 = -1 • (x25 + 324)

Equation at the end of step
2
:

-x25 - 324 = 0
STEP
3
:

Solving a Single Variable Equation:

3.1 Solve : -x25-324 = 0

Add 324 to both sides of the equation :
-x25 = 324
Multiply both sides of the equation by (-1) : x25 = -324


x = 25th root of (-324)

Negative numbers have real 25th roots.
25th root of (-324) = 25√ -1• 324 = 25√ -1 • 25√ 324 =(-1)•25√ 324

The equation has one real solution, a negative number This solution is x = negative 25th root of 324 = -1.2601


One solution was found :
x = negative 25th root of 324 = -1.2601

The product of its digits is 24.
It is greater than 1/2
The sum of its digits is a prime number.
Use the clues to find the mystery percent

Answers

Answer:

Step-by-step explanation:

Try .83

8 + 3 = 11

8*3    = 24

.84> 1/2

I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

v = l * w * h

v = x * 22 * 28

v = 616x

1.68 divided by what equals 0.28

Answers

Answer:

Step-by-step explanation:

The answer is 6! just divide :)

Write the percent as a fraction or mixed number in simplest form. 72.5

Answers

Answer: 72 1/2 or 725/10 as mixed number

Step-by-step explanation:

Answer:

72.5/100

Step-by-step explanation: Write down the percent divided by 100, then multiply both top and bottom by 10 after the decimal point, after you multiplied you will get 752/10 then simplify which the simplest form is 145/2 you with then have an improper fraction and it will be 72 1/2

May I please receive help?

Answers

You got this bro why do u need our help for

Five cans of cola cost $1.20. Find the cost of seven cans. Please help!

Answers

Answer:

1.20 divided by 5 is 0.24, so 1.20 plus 2 cans is 1.68

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9

Add 9 to each side

-10+9 < x - 9+9

-1 < x

x > -1

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9

- 10 + 9 < x - 9 + 9

- 1 < x

x > - 1

Hope it helps!!
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