-10, -14,18,-22 what's the explicit formula that can be used to determine the 9th term in this sequence A. A(n)=-4n-6 C. A(n)=n-10 B. A(n)=-4n-14. D. A(n)= n-4

Answers

Answer 1

Answer:

[tex]A(n) = -4n -10[/tex]

Step-by-step explanation:

Given

[tex]Sequence:\ -10, -14, -18, -22[/tex]

Required

Determine the formula for the nth term

The sequence shows arithmetic progression.

So, we need to determine the common difference (d) first

[tex]d = A_2 - A_1[/tex]

In this case:

[tex]A_2 = 2nd\ Term = -14[/tex]

[tex]A_1 = 1st\ Term = -10[/tex]

So:

[tex]d = -14 - (-10)[/tex]

[tex]d = -14 + 10[/tex]

[tex]d = -4[/tex]

The nth term is then calculated as thus:

[tex]A(n) = A_1 + (n - 1)d[/tex]

[tex]A(n) = -14 + (n - 1)* -4[/tex]

[tex]A(n) = -14 -4n + 4[/tex]

[tex]A(n) = -4n + 4-14[/tex]

[tex]A(n) = -4n -10[/tex]


Related Questions

Select the correct answer

Giving brainliest

Answers

Answer:

9

Step-by-step explanation:

just trust me, i did this stuff in like 2 grade

Answer:

9 miles

Step-by-step explanation:

from Pete's house to the store is 4 units

and from the store to the fair is 5 units

4+5=9 and 9 units= 9 miles

I hope this helped

Alana biked 15 miles in 1 hour. How many miles did she bike in 3 hours?​

Answers

Alana biked 45 minutes in 3 hours.

Answer:

45 miles

Step-by-step explanation:

15 miles = 1 hour

15 x 3 = x

x = 45

45 miles = 3 hours

please help me with this i dont know wht im doing

Answers

Answer:

D: The slope is 3

Step-by-step explanation:

To figure out the slope, which is always a constant, you simply figure out the average displacement using the points we already know. This is described by the equation y2-y1/x2-x1. Let's use the ordered pairs (-3, 2) and (-1, 8) to figure this out.

8-2/-1-(-3) = 6/2 = 3

Another method you could use is to graph the points and figure out how many units y has to go up for every x over, or the "rise over run"

Either way, your slope is 3.

Answer:

its 3

Step-by-step explanation:

*Geometry* Please help me answer 17. To 23

Answers

17. Longest side

18. Smallest side

19. *i think* parallel

20. hypothesis is false, and a contradiction is reached

21. must be greater

22. SAS (Side-Angle-Side)

23. (To answer this look back in your notes about the section, what other Inequality Theorem is talked about, since i don't know what section this comes from i cannot help you)

All i know is 17 long side

use the discriminant to determine how many and what kind of solutions the quadratic equation x^2-x=1 has

Answers

Answer:

Two solutions

Step-by-step explanation:

x^2-x=1

plug into the discrimiant fomurla

The asnwer ends up being 5

which is positive,  meaning that the discriminant has two solutions

Postitive number = Two solutions

The answer is 0 = One solution

Negative number = No solutions

:)

Select all true statements given the diagram below.

Answers

Answer: 1st, 2nd, & 3rd choice are all statements

Deku and reaper also what is 2-4=?

Answers

Answer:

the answer is -2

Step-by-step explanation: The answer is from google

Answer:

-2

Step-by-step explanation:

indeed brother

Find the product of 3 1/8 and 1 2/7. Express your answer in simplest form

Answers

Answer:

Step-by-step explanation:

[tex]3\frac{1}{8}=\frac{3*8+1}{8}=\frac{24+1}{8}=\frac{25}{8}\\\\\\1\frac{2}{7}=\frac{9}{7}\\\\\\3\frac{1}{8}*1\frac{2}{7}=\frac{25}{8}*\frac{9}{7}=\frac{225}{56}=4\frac{1}{56}[/tex]

HELPEUU


Esme bought a laptop computer. The regular

price of the computer was $998.95, but it

was on sale for 25% off. The taxes were

15%. Determine the purchase price.

Answers

$249.73 is the price of the laptop after the sale figure of 25% has been included. If taxes are counted then the total purchase price at the cashier counter will be $287.18 because the taxes of 15% on the $249.73 will be $37.45. Add the taxes onto the price of the laptop of $249.73 and you get the total purchase price with taxes included at $287.18

Teresa wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window? Please I really need help ASAP!!!

Answers

Answer:

I think the answer is 84 dollars

Step-by-step explanation:

Answer: The answer is 254

Step-by-step explanation:

If Steven was paid $12.00 for 3 hours of work, how much would he make for 2 hours of work?

Answers

Answer:

8 dollars

Step-by-step explanation:

12/3=4

4x2=8

Hannah made a ramp for her grandfather who was in a wheelchair. The ramp was 10 ft long and it was 5 ft away from the porch steps. How high were the porch steps?

Answers

Given :

Length of ramp( Hypotenuse ), l = 10 ft .

Length of base, b = 5 ft .

To Find :

How high were the porch steps.

Solution :

Let, height is h.

By Pythagoras theorem :

[tex]b^2+h^2=l^2\\\\h=\sqrt{l^2-b^2}\\\\h=\sqrt{10^2-5^2}\\\\h = \sqrt{75}\\\\h = 5\sqrt{3}\ ft[/tex]

Hence, this is the required solution.

What is the measurement of this angle

Answers

Answer:

50 degrees

Step-by-step explanation:

Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property.

12 + 18
A) 4(2 + 3)
B) 4 + (2 + 3)
C) 6(2 + 3)
D) 6 + (2 + 3)

Answers

I think the answer is d

determine the slope of the line that contains (-4,2) and (6,8)​

Answers

The slope of this line would be change in y divided by change in x. (8-2)/(6–4) = 6/10. In simplified terms, it would be a slope of 3/5.

Can some help me please!? I don't understand how to do it! (15PTS)

Answers

A) Quadratic variation. This is because the equation is in the form y = kx^2 with k = 1/8.

B) Inverse variation. Recall that inverse variation is in the form y = k/x which we can solve to xy = k. Here we have k = 9.

C) Direct linear variation. This equation is in the form y = kx, which is also known a direct proportional relationship because k = y/x. In this case, k = 1/11.

From 9pm to 6am the tempeture dropped 1.6 degrees Fahrenheit per hour what was the total change in temperature in degrees Fahrenheit between 9pm and 6am

Answers

1.6 (degrees) x 9 (hours) = 14.4 degrees

Margo studied for 20 minutes. How many seconds did she study?

A. 1,200

B. 800

C. 620

D. 120​

Answers

Answer:

1200 because 12*60 is 1200

what could -15-5 represent

Answers

Answer:

-20

Step-by-step explanation:

-15 - 5 is -20.

I hope that this helps! :)

Need help on this question ASAP

Answers

Answer:

284 mm^2

Step-by-step explanation:

We observe that the figure is made up of 2 squares and 1 triangle.

Lets consider the bigger square.

We observe that it sides are 12 mm

Hence, its area would be the square of its sides and hence, 144 mm^2.

Lets now consider the smaller square.

We observe that it sides are 7 mm

Hence, its area would be the square of its sides and hence, 49 mm^2.

Now,

Lets take the triangle into consideration.

We observe that,

One of its segments is not given to us and needs to be computed;

Lets take the length of this segment as x

Hence,

As the one of the sides of both the squares sum up to the lengths of the segment and 8,

[tex]12+7=x+8\\12+7-8=x\\x=11[/tex]

We now find its:

Base = 3+11 =14 mm

Height = 13mm

Hence, its area would be :

[tex]\frac{bh}{2} \\=\frac{14*13}{2} \\=7*13\\=91 mm^2[/tex]

Hence,

The Sum of the total figure = Sum of Areas of both the squares and that of the triangle

Hence,

The Sum of the total figure =

[tex]91+144+49\\= 284 mm^2[/tex]

In the circle below, Chords PQ and RS are parallel.


What is m A. 80
B. 140°
C. 50°
D. 40°

PLEASE HELP ME ENEKELME PLEASE 10 POINTS!!

Answers

Answer:

40

Step-by-step explanation:

Can't remember the geometrical property

Answer:

40 is the answer there u go

Please help for brainliest.

Answers

Answer:

the answer is c

Step-by-step explanation:

sams candy store charges 2.50 per poud while cam charges 3 per pound meaning that sams candy is .50 cheaper per pound

A colloge student makes a minimum payment of 500 each year

Answers

Answer:

more info needed

Step-by-step explanation:

Answer:

fgkguhhhhhggddvjhgcdjbcjvgtujjjjjjj

Shirt $28
Tax Rate 9%
tax
total

Answers

Answer:

Tax is $2.52 and the total is $30.52

Step-by-step explanation:

9% of 28 is 2.52 and yeah.

Answer:

The tax is $2.52

Total is $30.52

Step-by-step explanation:

9% of 28 is 2.52

then add that to the shirt price

Which of the following equations has exactly one solution? A. 4 x − 4 + 2 x = 6 x − 4 B. 2 ( 4 x + 5 ) = 8 x + 10 C. 4 x − 8 = 4 ( x − 4 ) D. 3 x + 5 = 2 x − 6

Answers

Answer:

D. 3x + 5  = 2x -6

What is 180 inches in feet

Answers

Answer:15

Step-by-step explanation:

180÷12

Answer:

15 feet

Step-by-step explanation:

12 inches= 1 ft

180 inches* 1 ft/12 inches

inches and inches get canceled out and ft is the unit of measure now

180ft/ 12= 15 feet

Hope this helps!

−2c + 6 = −8
Solve for c, please

Answers

Answer: c=13/2 but as a fraction

Step-by-step explanation:

Answer:

c = 7

Step-by-step explanation:

-2c + 6 = -8

Subtract 6 from both sides

-2c = -14

Divide -2 by both sides

c = 7

Joe as 55 pieces of candy and niya as 15 how many do they have together

Answers

Answer:

They have 70 piece of candy together

Step-by-step explanation:

Since Joe has 55 and Niya have 15, this means that you have to do addition to find the total.

55+15=70

please can someone solve​

Answers

Answer: both a and b are correct

Explanation: since it isn’t >= it needs a dotted line and she shaded downwards but y> which means it should go upwards

math slope helpppp meeee

Answers

Answer:

1. -3/8     2. 1/2     3. -3/2

Step-by-step explanation:

You can use Y2-Y1/X2-X1 to find the answers

Ask me if you want it more in detail

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