what is the arithmetic sequence of a1=228 n=28 sn=2982

Answers

Answer 1

Answer:

use the formula sn= n(a1+an)/2

Step-by-step explanation:

2982=28(228+an)/2

5964=28(228+an)

5964/28=228+an

213=228+an

an=-15(last term)

to find difference use formula

an = a+(n-1)d

-15=228+(28-1)d

-243=27d

d=-243/27

d=-9

arithmetic sequence  can be found be keep on subtracting 9 from 228

hence the arithmetic sequence is

228, 219, 210, 201, 192, 183, 174........-15


Related Questions

Write a two-step equation and solve.

Four more than six times a number is 22

Five less than eleven times a number is 50

Seven less than nine times a number is -16

Answers

Step-by-step explanation:

1) let number=a

six times a number=6a

Condition:

6a+4=22

2) eleven times a number=11a

Condition:

11a-5=50

3) 9 times a number=9a

Condition:

9a-7=-16

Note:if you need to ask any question please let me know.

What is the volume of the right rectangular prism?

a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3

Answers

Answer:

c part is correct answer

Answer: D) 240 cm^3

Step-by-step explanation:

On edge

Tavon has a gift card for $65 that loses $3 for each 30-day period it is not used. He has another gift card for $55 that loses $2.50 for each 30-day period it is not
used
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation)

Answers

Answer:

a. 65 - 3 x = 55 - 2.5 x

ab. 20

b. 5

Step-by-step explanation:

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equalvalue, will be $10.

What is a linear equation?

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

More about the linear equation link is given below.

brainly.com/question/11897796

#SPJ2

The area of this shape is 24 square units. Which of these statements is true about the area ?​

Answers

D.

Because the area of an object is number of square units or square grids inside the shape.

Answer:

D.

Step-by-step explanation:

Use the number to add the fraction: -5/8 + 3/4: *
Use the number ine to add the fraction
2
1
1
1
5
-
-
-
O
2
-9/10
-4/5
-1/8
1/8
2/5
1/2
7/10

Answers

Answer:

c

Step-by-step explanation:

thats the anser

I need help as soon as possible pleaseeeeeee!!!!!!!

Answers

first youd have to get the least common denominator, which would be 6. you do this by multiplying the denominator and numerator by the number needed to get to the least common denominator. this gives you 1 and 2/6 aswell as 3 and 3/6. from there its easier to count from 1 and 2/6 to 3 and 3/6. the final answer would be 2 and 1/6 unit away.

if this helped please give brainliest!

Which of the following is a basic equation?

A.b + 3 = 5
B.O (2, 3)
C .O y-axis
D .3+6

Answers

Answer:

A. b + 3 = 5

 [tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

To pay for a 15,300 car, Tony made a down payment of $3900 and took out a loan for the rest. On the loan , he paid monthly payment payment of $252.34 for 4 years.

Answers

Answer:

a. $24,512.32

b. $712.32

Step-by-step explanation:

a. A price of car $15,300, Tony made a down payment of $3900 so car has $11,400 left of a price and took out a loan.

He paid monthly payments of $252.34 for 4 years. Which mean $252.34 is paid for 48 months, multiplication $252.34 and 48 are $12,112.32. So we have monthly payments is $12,112.32

The total amount Tony ended up for the car is $11,400 + $12,112.32 = $24,512.32

b. The interest Tony pay on the loan is $12,112.32 - $11,400 = $712.32

. What is the total cost of 6 books at N8.50k each?​

Answers

Answer:

51

Step-by-step explanation:

1 book= N8.50

therefore 6 books= N8.50 × 6 = N51

मच्ने costing Rs 10,000 is depreciated at 15% per annum find the value of maths in after 1 year? ​

Answers

Answer:

8500

Step-by-step explanation:

depreciation=10000×15%=1500

initial cost = 10000

final cost = initial cost- depreciation

=10000-1500

=8500

SfGnjjjksksjnshshdhsjsjskakajaja

Answers

Answer:

7.4641

Step-by-step explanation:

7.4641 or 4+2(square root of three)

Simplify the expression. 3(7) – 3(3)

Answers

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]3\times 7-3\times 3[/tex]

This term's numerical factors have been multiplied:-

[tex]=12[/tex]

OAmalOHopeO

(3 x 9) - (3 x 4) = ? x (9 - 4)

Answers

Answer:

15

Step-by-step explanation:

3×9 =27

3×4= 12

27-12= 15

:) hope it helps

X=3
Solving Steps:
(3x9)-(3x4)=x(9-4)
27-12=x•5
15=5x
5x=15
X=3

Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left. How many containers were consumed in the party?

Answers

Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract

[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert  [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).

Your answer is [tex]4\frac{4}{9}[/tex].

Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4

Answers

Answer:

10y + 4

Step-by-step explanation:

-9 + 8y + 12 - (-2y) + 1

-9 + 8y + 12 + 2y + 1

8y + 2y - 9 + 12 + 1

10y + 4

If 18 drinks cost £54, how much will 7 drinks cost ?

Answers

Answer:

£21

Step-by-step explanation:

Cost of 18 drinks = £54

Cost of 1 drink

= Cost of 18 drinks/18

= £54/18

= £3

Cost of 7 drinks

= Cost of 1 drink × 7

= £3 × 7

= £21

What do these have in common??

Answers

Answer:

They can all be simplified to 2/3

please solve this question i need help​

Answers

Answer:

4c/2a 60 degrees 3bf 2ad

Answer:

f=120

b=40

d=140

e=120

c=30

a=30

Assume that an investment of $3000 earns an APR of 6% compounded monthly for 18 months.

How much money is in your account after 18 months?

Answers

9514 1404 393

Answer:

  $3281.79

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.

We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...

  A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79

There will be $3281.79 in the account after 18 months.

Find the value of x.
95
38°
X

Answers

Answer:

47

Step-by-step explanation:

x is one of the three angles of a triangle. The other two are given as 95 and 38.

Together all three have to make 180 degrees.

x + 95 + 38 = 180

x + 133 = 180

x = 180 - 133

x = 47

Answer:

47

Step-by-step explanation:

as we know that sum of a triangle is always=180°

so x+38°+95°=180

so x+133=180

and x=180-133

so x= 47

Write 52,640 in scientific notation. Please​

Answers

Answer:

5.264 * 10^4

Step-by-step explanation:

We put a decimal point to the right of the number, so

52640.

Then we move it to the left until we get a number that is between 1 and 10.

5.2640

This was four hops to the left.

We can remove the trailing 0, and write

5.264 * 10^4

10^4 because of the four hops

Answer:

5.264×10^4

Step-by-step explanation:

10^4 = 10,000 x 5.264 = 52,640

(1/5) ³
evaluate

pls help :)

Answers

0.008

1/5 x 1/5 x 1/5

It will be 1/5 times 1/5 times 1/5
:3

An alphabetic character representing a number

Answers

Answer:

a variable

Step-by-step explanation:

The answer is a variable because it's a letter that stands in place of a number

Answer:

simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z

(1.) Find the equation of the line passing through the points (-4,-6 ) and (-5,5).

(2.) Find the equation of the line with slope -8 that passes through the point (3, -8).

Answers

Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16

pelase asnwer da question

Answers

Answer:

D

Step-by-step explanation:

I think its D because you multiple the number that is out of the the bracket with the numerators..

so its

a^4/b^12

The inequality - 15<-6 is given. Write the inequality you get when you perform the
following operation.
Divide both sides of the inequality by 3.

Answers

Answer:

-5

Step-by-step explanation:

-15<-6=-15

-15÷3

=-5

Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.

The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Given that:

[tex]-15 < -6[/tex]

Divide both sides by 3

[tex]-15 \div 3< -6 \div 3[/tex]

Evaluate the division

[tex]-5< -2[/tex]

Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Read more about inequalities at:

https://brainly.com/question/17194874

Alea needs 20.5 pints of blueberries to make jam. She picked 7.75 pints on Friday and 425 pists on Saturday. How many more pints does she need to pick? A. 85 pints B.X25 pints C. 11.5 pints D. 11.75 pints​

Answers

Answer:

A 8.5 pints

Step-by-step explanation:

solve 4x+y=24 and y=-4x+24 using substitution​

Answers

Answer:

no solutions

Step-by-step explanation:

[tex]4x + y = 24 - - - (a) \\ y = - 4x + 24 - - - (b)[/tex]

substitute for y in (a) with (b):

[tex]4x + ( - 4x + 24) = 24 \\ 0x = 0[/tex]

Answer:

infinite solutions

Step-by-step explanation:

substitute y in the first equation

4x+(-4x+24)=24

4x and -4x cancel out

24/24=1

or solve for x, you should also get 1

Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?

Answers

Answer:

5.70

Step-by-step explanation:

Take the price per bag and multiply by the number of bags

.95 * 6 =5.70

Which statement best describes the relationship between the two figures?

Answers

Answer:

The congruency of triangle is the statement that describes the relationship between two figures Step-by-step explanation:

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