Mathematics High School

Here are the first four terms of some sequence.
1/2 , 4/3 , 9/4 , 16/5
Find the nth term of this sequence

Here Are The First Four Terms Of Some Sequence.1/2 , 4/3 , 9/4 , 16/5Find The Nth Term Of This Sequence

Answers

Answer 1

Answer:

The nth term of the sequence will be:  n²/n+1

Step-by-step explanation:

Given the sequence

1/2 , 4/3 , 9/4 , 16/5

The values in the numerator are:

2, 3, 4, 5

It is clear that every successive value in the numerator can be determined by adding 1 to the previous value.

i.e.

3 = 2+1

4 = 3+1

5 = 4+1

Thus, the nominator contains the sequence rule: n+1

The values in the denominator are:

1, 4, 9, 16

It is clear that every value in the denominator is the square of the sequence number.

i.e.

1 = 1²

2 = 2²

3 = 3²

4 = 4²

5 = 5²

so

The denominator defines the rule n².

Thus, the nth term of the sequence will be:  n²/n+1

Related Questions

Mary buys 8 cupcakes for $6 and Pete buys 12 cupcakes for $9. Who got the better deal PER cupcake or did they spend the same amount per cupcake?

Answers

Answer:

Step-by-step explanation:

Mary spends 8*6=48 dollars

Pete spends 9*12=108

Mary got a better deal per cupcake

Answer:

They spent the same amount per cupcake ($1.33)

Step-by-step explanation:

To solve this, we need to find the unit rate of cost per cupcake. To do that, we divide 8 by 6 and divide 12 by 9. When we do that, we get 1.33 for both. That means they spent the same amount per cupcake ($1.33).

HELP ASAP ILL GIVE U BRAINLEST

Answers

Answer:

c=0.79s

I hope this helps:

7.11/9=0.79

From the given image, which number line doesn't belong and why?

Answers

Answer:

3

Step-by-step explanation:

Pl hell any thing is appreciated I will give Brainly

Answers

Answer:

First one and last one

Step-by-step explanation:

Depends if you want to get rid of the x or y first
If y choose the first on and the last one
For x choose the middle two

PLSSSS HELPPPPPP!!!!!

Answers

Answer: Gordon Types 74 words per minute

They type 74 words per minute hope this helped

help me!!!!!!!!!!!!!

Answers

Answer: 17

Step-by-step explanation:

2 x2 is 4  4+13 is 17

If you can help I’m still learning

Answers

Answer:

It’s +16

Step-by-step explanation:

hello please help me, the product of two consecutive odd integers is 399. what equation would be used to solve this problem?

Answers

A + B = 399
That is the answer

find the estimates of x^2-x-2=3

Answers

Answer:

[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

Step-by-step explanation:

Given

Quadratic equation is

[tex]x^2-x-2=3\\x^2-x-5=0[/tex]

Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]

So, for the given equation roots are

[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

The Wood frog has three unique chemicals inside its body that act like antifreeze in your car to keep the frog from freezing in negative temperatures. The frog can be found as far north as this US STATE. What is the fifth letter of this state?

Answers

Answer:

a

Step-by-step explanation:

Solve number 1 that is in the image

Answers

Answer:

120, 15

Step-by-step explanation:

Answer:

15,120

Step-by-step explanation:

x-axis-15(read vertically)

y-axis-120(read horizontally)

The Math Club is raising money so they can attend a local competition next month. They have already raised $125 and they are selling candy bars to raise the rest of the money needed. Each candy bar sells for $2.50.

Answers

Answer: 100 candy bars

Step-by-step explanation:

You did not include the question but judging by the progression I can assume that the question is along the lines of how many candy bars they will need to sell to reach their target.

You did not include the amount they have to raise as well so let us assume that number is $375.

Assuming they have to raise $375 and they have already raised $125, the amount left to be raised is:

= 375 - 125

= $250

With each candy bar selling at $2.50, the number of candy bars they will need to sell is:

= 250/ 2.50

= 100 candy bars

You should use this process to find the answer to your question.

Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points)

a
|-80 - 15| = |-95| = -95 units

b
|-80 + 15| = |-65| = 65 units

c
|-80 - 15| = |-95| = 95 units

d
|-80 + 15| = |-65| = -65 units

Answers

Answer:

it's answer is b

|-80+15| = |-65| = 65 units

Hope this helps :)

This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.

so,answer-b

a company can buy packages of 500 sheets of paper for $4. At this rate, how much paper can bet bought for $2000​

Answers

Answer:

2000/4×500=250000sheets

Step-by-step explanation:

HELP PLS
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.

Date
Closing amount (in points)
01/27 13,895.98
01/28 13,881.93
01/29 13,954.4
01/30 13,860.42

Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points

Answers

Answer:

a loss of 72.47

Step-by-step explanation:

I got this answer right on my test

9 ,6 ,3, 0, -3, -6

b) Work out, in terms of n, the nth term of the sequence.

Answers

The answer is -3n + 12

does the graph represent a function?

Answers

Yes it does
..........

Help me on math problem ​

Answers

Answer:

Step-by-step explanation:

The first one

The answer is the first one

Drag graphs to show a group of each equation in the table

Answers

Answer:

y=5x = 1/5 is bottom middle

y= -1/5x + 5 is top middle

y= -5x - 1/5 bottom left

y= 1/5x - 5 top left

Step-by-step explanation:

What is the simplified expression for

-3x2 + 5x + 2 - 1 - 7x + 3x2

Answers

Answer:

-2x + 1

Step-by-step explanation:

1: -3x^2 + 5x + 2 - 1 - 7x + 3x^2

2: (-3x^2 + 3x^2) + (5x - 7x) + (2 - 1)

3: 0 - 2x + 1

4: -2x + 1

Step 1: Given equation

Step 2: Group the terms with similar exponents together

Step 3: Add the terms together

Step 4: Simplify completely

HELP Help Please

The volume V of a balloon varies directly with the cube of its radius R. If the volume is 113 cubic inches when the radius is 3 inches, find the formula for the volume.

Answers

Answer:

l × b is the correct answer for this question

If t = the tens digit and u = the ones digit, which expression shows the value of reversing the digits in a two digit number? u + t 10u + t u + 10t

Answers

Answer:. 10u + t

Step-by-step explanation:

The value of the units digit is multiplied by 10 when it moves to the tens place.

Answer:

10u+t

Step-by-step explanation:

Calculate these, and write each awnser in Standard Form.

​

Answers

Step-by-step explanation:

Do you need answers to all of them of some of them?

1. (4.5×10¹²)÷(9×10^10)

(45×10^-1×10¹²)÷(9×10^10)

(45×10¹¹)÷(9×10^10)

(45÷9)×(10¹¹÷10^10)

5×10

if you need help with the others kindly let me know

PLZ help i do not get this

Answers

4.02 / 3 = 1.34 hope this helps

I don’t know how to do this can someone help?

Answers

Answer:

i think its B cause 4 was the radius

Step-by-step explanation:

Which of the following shapes are rectangles? Choose two answers!!!! Please helpppp !!!!!!!!!!!!!!

Answers

Answer:

A&D

Step-by-step explanation:

Answer:

A. and C.

Step-by-step explanation:

because 2, 2 sides are equal of four line boxes

Write the equation of the line that passes through the point (-3, 5) and has a slope of
7.

Answers

Answer:

m=7

X1= -3

Y1=5

Y-Y1=m(X-X1)

Y-5=7(X-(-3))

Y-5=7(X+3)

Y-5=7X+21

Y=7X+21+5

Y=7X+26

Determine the value of x

Answers

Answer: 8


22 is to 11 because they are both on the hypotenuse. Since 11 is half of 22, x would be half of 16, 8.

Answer:

I would think it is 8

Step-by-step explanation:

By assuming the triangles are equal to each other in a way that the larger triangle is the smaller triangle's length times 2. For example, one side of the smaller triangle is 11 so times 2 would be the larger triangle's side. So, by dividing 16 by two, you would get 8. Hope this helped and that I did it correctly!

Estimate the difference

2.8/9 - 2. 7/1


A. 2

B. 1

C. 0

Answers

Answer:

C. 0

because 2.8/9 <1

and 2.7>1

so 2.8/9 -2.7 <_ 0


Six pallets of soda weigh 180 pounds. How much
would 10 pallets weigh?

Answers

Answer:

300

Step-by-step explanation:

Answer:

10 pallets would weigh 300 pounds

Step-by-step explanation:

6 pallets = 180 pounds

10 pallets = x pounds

Cross multiply;

6x = 1800

Divide both sides by 6;

x = 300

Other Questions
Hydrogen bonds create unusual properties in water. What are they? What is (64x^2y^3)-1/2 as radical expression? At what points in the progression from gene to protein do these methods act (i.e., what processes do they prevent) Question 13 (True/False Worth 1 points)News analysts are allowed to give an opinion.O TrueO False jenny goes to the shop she buys . three cups for 1.24 each.three saucers for 95p each. a teapot for 6.18jenny has 20 to spend she also wants to but some plates, which are 1.57 each.what is the greatest number of plates jenny she can buy n-17 = 24Step to step A cell phone costs $435 and has a tax rate of 7%. How much tax is paid on the cell phone? Helppppp this is really hard If the only force acting on an object is friction during a given physical process, which of the followingassumptions must be made in regard to the object's kinetic energy? What is everything in our physical environment made of? *A matterB solidsC gases What is the smallest rotational symmetry of a rhombus? The new price of the plane ticket what is the best description to the relation.A. a function that is a one-to-oneB. a function that is many-to-oneC. a function that is one-to-manyD. a relation that is not a function ASAP PLEASE HELP ME!!!!!What is your reaction to what happened in DC on January 6, 2021? Write 4 sentences. Pls help Ill give brainliest I dont have much time Im struggling Is (-10, 10) a solution to this system of equations?18x + 20y = 2020x 2y = 9yesno Eleanor is 12 years younger than mabel. Mabel is 6 years older than izzy. Izzy is twice as old as Patrick. Patrick is 5 years old. What is the combined age of these four people? Analyze the political cartoon and explain what is going on in the image. Which statement best completes the table? Achievements of Greek Civilization Developed literature and myths Made advances in medicine ? A. Gave women equal rights B. Destroyed the Roman Empire c. Spread democracy across Europe D. Studied the world using logic Which of the following is a monomial?O A. 11x-9O B. 20x^9O C. 9/xO D. 20x^9 - 7x