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

Plz help I will name you brainliest plz and thank you

Answers

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Simplify expression: 6 - 36 - 3 = 3Look at screenshot below

I hope this helps!

HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! :)

find the solution set.

Answers

Part A: m< -6

---

Part B: a < 25

---

Part C: x < 16

---

Part D: p > 8

I’ll DO ANYTHING IF U ANSWER THIS WHOLE THING

Answers

Answer:

13/12

Step-by-step explanation:

Which expressions are equal to 105?

Answers

Answer:

2•2²×100+5.

Step-by-step explanation:

Find the value of x
?????

Answers

Answer:

2x+57°+x=180 ( angle sum property of triangle)

3x=123

x=41

I just wanted to let you know I had to go eat a little bit earlier I have a lot to do for you to

convert 8x-10y=20 into slope intercept form

Answers

Answer:

y=⅘x-2

Step-by-step explanation:

8x-10y=20

-10y=-8x+20

y=⅘x-2

Find the area of a trapezium is 4cm 4cm, 7cm

Answers

Step-by-step explanation:

1/2×(4+7)×4

1/2×11×4

11×2

22cm2

i don’t understand how to do this 3a + 7 + 2(3 +a)

Answers

Answer:

5a+13

Step-by-step explanation:

Can you help me -3-
only the first problem (a)

Answers

Answer: -18

Step-by-step explanation:

Turn 2 1/4 into an improper fraction --> 9/4

Now the expression is:

9/4 x -8

Multiply 9 x -8 and that gives you -72...

Then, divide 4 from -72 which is -18!

Hope that helped!

Please I am on a timer

Answers

Answer: g=5

Step-by-step explanation:

A.it is a function
B.it is not a function

Answers

It is not a fiction ......

Select the correct answer.
Simplify the following expression.
1
OA
OB. 5(-3)
О с.
53
OD.

Answers

Answer:

B) 5(-3) either way its telling you to multiply 5 by -3

The simplifying form of the expression 5⁻³ is,

⇒ 1 / 5³

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression for simplifying is,

⇒ 5 ⁻³

Now,

By rule of exponent;

⇒ a⁻ⁿ = 1 / aⁿ

Hence, We can formulate simplifying form of the expression 5⁻³ is,

⇒ 5 ⁻³

⇒ 1 / 5³

Thus, The simplifying form of the expression 5⁻³ is,

⇒ 1 / 5³

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

What percent of offspring will be blue eyed?

0%
25%
50%
100%
Please I need help

Answers

Answer:

I believe the answer is 0% because the blue eye trait is recessive.

Step-by-step explanation:

Hope this helps!

✧◝(⁰▿⁰)◜✧

Answer:

25%

Step-by-step explanation:

blue eyes are the resesive gene but there is still a 25% chance.

What value of x is in the solution set of 4x - 12 < 16 + 8x?
0-10
O-9
08
O 7

Answers

Answer: 7 and 8

Step-by-step explanation:

[tex]4x-12 < 16+8x\\\\-12 < 16+4x\\\\-28 < 4x\\\\-7 < x \\\\x > -7[/tex]

So, both 7 and 8 are in the solution set.

27÷819=
give me the quotient for 27÷819

Answers

Answer:

.032967033

Step-by-step explanation:

Answer:30.33333333 or just 30.3

Step-by-step explanation:

30.33333333333333

Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units. Riko correct? Explain why or why not.

Answers

Answer:

Riko is wrong because she uses the wrong formula.

Step-by-step explanation:

Given the coordinate points (-2, -3) and (2, -5)

We are to find the distance between the two points

Using the formula:

D = √(x2-x1)²+(y2-y1)²

From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5

Substitute

D = √(2-(-2))²+(-5-(-3))²

D= √(4)²+(-2)²

D = √16 + 4

D = √20

D = √4*√5

D = 2√5

This shows that Riko is wrong because she uses the wrong formula.

Answer:

No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.

Step-by-step explanation:

What is 3.116372 rounded to the nearest hundred thousandths place?

Answers

Answer:

3.116370

Step-by-step explanation:

1. Find hundred thousandths place: the 7

2. Look at the number behind it (2).

3. 2 is 4 or less so it would be 3.1116370.

4. The numbers after the place you round ( Here hundred thousandths)

turn into zeros.

solve the system of equations
4x - 3y = 8 and 2x + 5y = -9
I need a math genius’ help on this pls :)

Answers

Answer:

4x-3y=8

Simplifies to x=3/4y+2

2x+5y=-9

Simplifies to -5/2y+-9/2

What’s the ANSEWR to this

Answers

Answer:

20.25

Step-by-step explanation:

i think its asking for the long side

the pythagorean theorem states that in a right triangle a^2+b^2=c^2

a is 19

b is 7

c is the long side

19^2= 361

6^2= 49

361+49=410

410 =c^2

square root of 410 = ~20.25

Answer:

[tex]hypotenuse = \sqrt{ {19}^{2} + {7}^{2}} \\ = \sqrt{361 + 49} = \sqrt{410} \\ = 20.25[/tex]

20.25 is the right answer.

NEED HELP PLEASE 20 POINTS!!!!

Answers

I think the answer is B

double s, then multiply t by the result

*INCLUDE ANY PARENTHESES OR MULTIPLICATION SYMBOLS IF NEEDED!!!!*

Answers

Umm was there supposed to be another picture

The table of ordered pairs shows the coordinates of the two points on the
graph of a function. Which equation describes the function?

Answers

Answer:

[tex]y=\frac{-1}{2} x+1[/tex]

Step-by-step explanation:

In this case , we'll have to carry out several steps to find the solution.

Step 01:

Data

x   y

-2  2

4   -1

Equation of the line =?

Step 02:

Equation of the line

Slope formula:

[tex]m=\frac{y2-y1}{x2-x1} =\frac{-1-(2)}{4-(-2)}=\frac{-3}{4+2} =\frac{-3}{6} =\frac{-1}{2}[/tex]

Point-slope form of the line

[tex](y-y1)=m(x-x1)[/tex]

[tex](y-2) =\frac{-1}{2}(x-(-2))\\y=\frac{-1}{2} x-\frac{2}{2}+2\\y=\frac{-1}{2}x-1 +2\\\\y=\frac{-1}{2} x+1[/tex]

The answer is:

The equation of the line is [tex]y=\frac{-1}{2} x+1[/tex]

PLEASE MARK ME AS BRAINLIEST

Aisha wants to paint the four walls of her living room.
Each wall is 2.4 m high and 3.7 m long.
One wall has a door of 2 m by 0.7 m.
Tins of paint cost £12 per 1.5 L tin.
Each litre of paint can cover 8 m2 of wall.
There is an offer of: Buy 2 tins get the 3rd at half price.
How much will Aisha pay to paint her living room?

Answers

9514 1404 393

Answer:

  £30

Step-by-step explanation:

The total area of the four walls is ...

  A = 4 × LW

  A = 4 × (2.4 m)(3.7 m) = 35.52 m²

Subtracting the area of the door, we find the painted area to be ...

  35.52 m² -(2 m)(0.7 m) = 34.12 m²

Painting this area will require ...

  (34.12 m²)/(8 m²/L × 1.5 L/tin) = 2.8433... tins

Aisha will need to buy 3 tins of paint, for which she pays 2.5 times the price of 1 tin:

  2.5 × £12 = £30 . . . . Aisha's cost to paint her living room

£25 or £20.10

Step-by-step explanation:

calculate the area to be painted:

2.1x4.5= 9.45m^2 for each wall

x4= 37.8m^2

area of door= 1.8x0.9= 1.62m^2

subtract the area of the door from the wall area

37.8-1.62= 36.18m^2 to be painted

divide the area by the area that 1L of paint can cover

16.18/12= 3.015 L needed

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.

£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25

or

calculate price for 0.015L

1.5=£10

divide both sides by 100

0.015= £ 0.10

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L

£20+£0.10= £20.10

I DONT KNOW IF THIS IS RIGHT but hope it helps :)

50/21 as a 10th of a percent

Answers

Answer:

20 percent

Step-by-step explanation:

answers for the 2 boxes please :)​

Answers

(-3,-4) you can double check by plugging the values into a calculator if you want

Can someone please explain slope in a way that might make sense.

Answers

Okay let’s take the question “Find the slope of the points (4, 1) and (-2, 7)” as an example

The slope of an equation or graph is the rate of change.

In order to find slope, we use the formula m=rise/run or m=y2-y1/x2-x1

“m” is equal to the slope

“rise” or “y2-y1” is the difference (subtraction) of the two y coordinates

“run” or “x2-x1” is the difference (subtraction) of the two x coordinates

Remember, the points we are using for this example are (4, 1) and (-2, 7)

m = y2-y1/x2-x1
m = 7-1/-2-4

1 and 7 are your y coordinates so you plug them in an find the difference (subtraction)

4 and -2 are your x coordinates so you plug them in an find the difference (subtraction)

It doesn’t matter whether you do “m=7-1/-2-4” or “m=1-7/4-(-2)” both will have the same answer

The only thing you can’t do is something like “m=7-1/4-(-2)” or “m=1-7/-2-4”

The bottom can’t be solved in the opposite way of how it was solved on top and vice versa of that makes sense

Also, keep in mind that if you see two negatives as in the “m=1-7/4-(-2)” example, you turn it into an addition symbol

Like this:
“m=1-7/4+2)”

Because two negatives are equal to a positive

m = y2-y1/x2-x1
m = 7-1/-2-4
m = 6/-6
m = 6/-6
m = -1

Remember that a negative divided by a positive is always a negative so it doesn’t matter where you place the negative sign

For example, if your slope was 2/-5, that would be the same as -2/5

And when you divide two negatives, it always equals to a positive

For example -2/-5 would simplify to 2/5

I hope that helped and made sense :)

What expression can you substitute for y in
this equation?
-4y + x = -27
Enter the correct answer.

Answers

Answer:

1/4x+27/4

Step-by-step explanation:

Here's the equation: -4y+x=-27

We'll need to isolate y on one side

subtract x from both sides

-4y=-x-27

divide everything by -4

y=1/4x+27/4

So you can substitute 1/4x+27/4 for y.

hope this helps!

Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27

Answers

Answer:

Yes that function does •h(x)=x^2/x^2-6x-27

Step-by-step explanation:

Yes that function does •h(x)=x^2/x^2-6x-27

a half of 48 divided by6multiplied by4 plus 3 minus 2​

Answers

Answer: 17

Step-by-step explanation: thx

Answer: 9 using pemdas

Step-by-step explanation: parenthesis, expressions, multiplication, division, addition, subtraction.

The football team has a total of 25 jerseys. There are 5 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
% are medium-sized jerseys

Answers

Answer:

20%

Step-by-step explanation:

There are 5 medium shirts out of 25 shirts.

5/25 = 0.20  

It need to be a percent instead of a decimal so you times it by 100.

0.20*100 = 20%

Answer:

25

Step-by-step explanation:

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