Mathematics High School

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 12 10 8 6 4
b) 25 20 15 10 5

Write Down In Terms Of N, An Expression For The Nth Termof The Following Sequences:a) 12 10 8 6 4b) 25

Answers

Answer 1

Answer:

In bold below.

Step-by-step explanation:

a) 12 10 8 6 4

This is an arithmetic sequence with common difference -2.

nth term = a1 + (n - 1)d

= 12 + (n - 1)-2

= 12  -2n + 2

= -2n + 14.

b) 25 20 15 10 5

This is an arithmetic sequence with common difference -5.

nth term = a1 + (n - 1)d

= 25 + (n - 1)-5

= 25  - 5n + 5

= -5n + 30.

Related Questions

A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The height of the airplane above ground after t seconds is given by the equation h=-16t^2+56t+1 where h is the height of the airplane in feet and t is the time in seconds after it is launched. Approximately how long does it take the airplane to reach its maximum height?
A)0.3 seconds
B)1.8 seconds
C)3.5 seconds
D)6.9 seconds

Answers

Answer: I think is none

Step-by-step explanation:

Tbh

In 42 minutes, Mr. Goo can run 6 miles. How long does it take him to run 1 mile?

Answers

Answer:

7 min

Step-by-step explanation:

Answer:

7 Minutes

Step-by-step explanation:

If you divide 42 by 6, you get 7.

y-(-3y) combine the like terms to create an equivalent expression

Answers

Answer: 4y

Step-by-step explanation:

Distribute the negative sign to get rid of the parentheses

y+3y = 4y

The History Club is making T-shirts to sell for a fundraiser, at a price of $10 apiece. The costs, meanwhile, are $9 per shirt, plus a setup fee of $100. Selling a certain number of shirts will allow the History Club to cover their costs. How many shirts must be sold?

Answers

Answer:

fshdmso hdkdndjsj held by sks

A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder

Answers

Answer:

      H ≈ 10.994424 m ≈ 11 m

Step-by-step explanation:

[tex]V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m[/tex]

–19w + 11 = –17w − 19
w=?

Answers

Answer:

W = 15. I hope this helped.

Step-by-step explanation:

Steps:

1.Add 19w to both sides.

11=−17w−19+19w

2.Simplify  -17w-19+19w to  2w-19

11=2w−19

3.Add 19 to both sides.

11+19=2w

4. Simplify  11+19  to  30.

30=2w

5.Divide both sides by 2.

30/2 = w

6.Simplify 30/2 to  15.

15=w

7.Switch sides.

w=15

Max completed 140 questions on DFM last week.
This week, Max completed 182 questions.
Find the percentage increase.

Answers

Answer:

30%

Step-by-step explanation:

182-140=42(increase)

increase ÷ original × 100 %

= 42÷140×100%

=30%

The percentage increase from the old number to new number is 30 percent.

Given that, Max completed 140 questions on DFM last week. This week, Max completed 182 questions.

We know that, percentage increase = (New Number - Original Number)/Original Number ×100

= (182-140)/140 ×100

= 42/140 ×100

= 4200/140

= 30%

Therefore, the percentage increase is 30 percent.

To learn more about the percentage visit:

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If a field's length is 75m and breadth is 50m then what is the area?

Answers

Answer:

3750m^2 is it's area hope it helps

Answer:

3750m²

Step-by-step explanation:

75x50=3750

[tex]32/8 = 40/h[/tex]

Answers

If you are solving for h the answer is 10
First you reduce the fraction with 8 so your get
4=40/h
Then you multiply both sides by h and you get
4h=40
After that you divide both sides by 4
And your answer is
h=10

I need some help here please​

Answers

Answer:

d. raíz de 44

[tex] \sqrt{48 \\ } [/tex]

I believe the answer is D.

That’s because in radicals if there’s a square inside they square root that and put it on the outside. For example for √8, it would be 2√2, since the four can be square rooted, and there is still a 2 left inside the square root. For √48, there is a sixteen inside so you square root the 16 and get 4√3. Hope this helps

Determine whether ABCD is a parallelogram if AB = 6, BC = 12, CD = 6, and DA = 12. Justify your answer
A/ Yes; Opposite sides are congruent to each other.
B/ Yes; Opposite sides are parallel to each other.
C/ Yes; Opposite angles are congruent to each other.
D/ No

Answers

A/ yes; opposite sides are congruent to each other.

About 0.2of all the students in the fifth grade are boys. If the fifth grade has ​75 students, how many of the students are ​?

Answers

Answer:

15 boys

Step-by-step explanation:

About 0.2of all the students in the fifth grade are boys. If the fifth grade has ​75 students, how many of the students are ​boys?

The number of boys can be calculated as:

0.2 × Number of fifth grade students

Number of fifth grade students = 75 students

Therefore,

The number of boys =

0.2 × 75 students = 15

The number of boys = 15 boys

Simply (square root) 36x^3

Answers

I dont get your question please give me a picture of it

what is sum 5x7 equal up

Answers

It’s the same thing as 5+5+5+5+5+5+5=35

Which is the most accurate way to estimate 68% of 59?​

Answers

Answer:

pretty sure it would be 40.12

Answer:

The exact answer would be 40.12

The Rounded answer would be 40

Step-by-step explanation:

0.68 x 59 = 40.12

Brainliest plz

Explain how you would determine the slope and y-intercept of a line
when given a table, graph and an equation.
I KISS YOUR TOES IF YOU HELP ME

Answers

Answer:

slope is m= y_2-y_1/x_2-x_1 and the y-intercept is where the line crosses over the x-axis

Step-by-step explanation:

fill in the points and do the equation m= rise(y points)/ run(x points)

m=slope

(x_1, y_1) =coordinates of first point in the line

(x_2, y_2)=coordinates of second point in the line

a) Simplify
X-2
7(x - 2)2

Answers

Answer:

the fist u cant simply is it will be x - 2

second is 14x-28

Step-by-step explanation:

what is the area of a circle with a radius of 4 inches?

Answers

the area would be 50.27 inches
Question: what is the area of a circle with a radius of 4 inches
Answer: A≈50.27in²

4 cm
7-64. When Madelyn examined the triangle at left, she says, “I
don't think this diagram is drawn to scale because I think the
side labeled x has to be longer than 4 cm.”
26°
42°
a. Do you agree with Madelyn? Why or why not?
b. Leila thinks that x can be determined by using right triangles. Review what you learned in
Lesson 7.2.1 by calculating the value of x.

Answers

Answer:

k

Step-by-step explanation:

The value of x is determined as 6.10 cm using law of sines and the diagram is correctly drawn.

What is the law of sines?

The sine law is used to calculate the sides and angles of a triangle. It states that the ratio of the sides and the angles opposite to it are equal.

It can be written a/SinA = b/SinB = c/SinC.

For the diagram shown, the length of side of triangle can be calculated by Sin law as,

x/Sin(42°) = 4/Sin(26°)

⇒ x = 4/Sin(26°) × Sin(42°)

⇒ x = 6.10

Thus, x is greater than 4 cm.

(a) One cannot agree with Madelyn because x is greater than 4 cm.

(b) The value of x can be found by using law of sines.

Hence, the value of x is 6.10 and the diagram is drawn to scale.

To know more about law of sines click on,

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Which equations matches the graph shown below ?

Answers

Answer:

its y= -0.3(x-2)^2-5

Step-by-step explanation:

Solve the given equation. Check your solution and show all your work. 7/10 r = 4 3/5

(this is the last question i have on my test i swear)​

Answers

Answer: R= 30.1

Step-by-step explanation: 10r = 7*43/1

10r= 301/1

10r= 301

10/10

R= 30.1

At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings? Explain or show your reasoning. Use whatever strategy you would like.

Answers

Answer: 15%

Step-by-step explanation:

The usual price is $80.

This week however, the set sold for $12 less than this usual price of $80.

Savings therefore are $12 because people save $12 by buying it at $12 off.

Percentage of usual price:

= Savings / Usual price * 100%

= 12 / 80 * 100%

= 0.15 * 100

= 15%

The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.

Answers

Answer:

265.65

Step-by-step explanation:

(3.75*39)+(27*5.95)-(11*3.75) = 265.65

Show me How much is 1 5/6 as a mixed fraction

Answers

Answer:11/6

Step-by-step explanation: hope it helped if it dint tell me what exactly what i need to do and ill do it :)

Answer:

I am not sure what you are asking for

Step-by-step explanation:

1 5/6 already is the mixed fraction, if you meant to put 1 5/6 as an improper fraction your answer would be 11/6.

Or if you possibly meant 15/6 as a mixed fraction your answer would be 2 3/6

If this is not the answer you were looking for, please correct me so I can help you out.

which graph models the solution of the Inequality -6 ≤ -3x

Answers

Answer- B

First make x the subject which would be -6/-3 ≤ x
Which is 2 ≤x and that is represented in B

We know that graph (B) models the solution of the given inequality -6 ≤ -3x.

What are graphs?Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function.Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types. Graphs are a fantastic tool for displaying statistics and visualizing data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilized.

So, in the given inequality:

-6 ≤ -3x

We know that:

Make x subject: -6/-3 ≤ xWhich is 2 ≤ x, represented in a graph (B).

Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.

Know more about graphs here:

https://brainly.com/question/28953186

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The mean of 4 numbers is 32. If three of the numbers are 15, 21, and 75, what is the value of the fourth number?

Answers

If the mean is 32 and there is 4 numbers
then the numbers add to 32x4 which is 128
128-15-21-75=17
fourth number is 17
The next number is going to be 17 Explanation

Use the diagram to decide whether the congruence statement is true. Explain your reasoning triangle ABC cong triangle EBD

Answers

Answer:

It is not true.

Step-by-step explanation: They arn't congruence

Someone help please ​

Answers

Answer:

if you would stan LOONA you would get all A's):

A cylinder has a diameter of 6 cm and a volume of 36 pi

Answers

Answer:

h=1.27

Step-by-step explanation:

[tex]v=\pi r^{2} h[/tex]

[tex]=\pi *3^{2} *1.27[/tex]

= approximately 36.00001

What is the solution set of –|x| = –8?

{8}
{–8}
{–8, 8}
no solution

Answers

-8 and 8 in my opinion i’m not a 100% sure

Answer:

its c -8,8

Step-by-step explanation:

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