write down in terms of n, an expression for the nth term of the following sequences 2 5 8 11 14

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 3n - 1

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

[tex]a_{n}[/tex] = 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1

Answer 2

The expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

Given that,

Sequence; 2, 5, 8, 11, 14.

We have to find, the expression in terms of n for the nth term of the following given sequences?

According to the question,

The nth of the arithmetic sequence is,

[tex]\rm a_n = a+ d(n-1)[/tex]

Where a is the first term of the sequence,

d is the common difference between the terms,

n is the number of terms.

Then,

The given sequence is 2, 5, 8, 11, 14.

Here, the common difference between the terms is 3.

And the first term of the sequence is 2.

Substitute all the values in the formula,

Therefore,

The nth term of the given terms is,

[tex]\rm a_n = a+ d(n-1)\\\\a_n = 2+ 3(n-1)\\\\a_n + 2+3n-1\\\\a_n = 3n-1[/tex]

Hence, The required expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

For more details refer to the link given below.

https://brainly.com/question/17043393


Related Questions

Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.

Answers

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

How do I find the arc of a circle?\

Answers

Answer:

google

Step-by-step explanation:

Step-by-steP

LA FÓRMULA ES:

arc = πrΘ/180

INEED YOUR HELP ASAP!!! For the expression 6 − y + 3, determine the coefficient for the variable term.

Answers

Answer:

[tex]-1[/tex]

Step-by-step explanation:

[tex]6 - y + 3[/tex]

[tex]-y+3+6[/tex]

[tex]-y+9[/tex]

A coefficient is a number that is used to multiply with a variable.

[tex]-y=-1y[/tex]

[tex]-1y+9[/tex]

*I WILL MARK YOU BRAINLIEST!!!!!*

Answers

Answer:

-3

Explanation:

Rate of change in the interval

X=0 to X=3 is given by,

[tex]r = \frac{f(3) - f(0)}{3 - 0} \\ here \\ f(3) = 1 \\ f(0) = 10 \\ r = \frac{1 - 10}{3} \\ \: \: \: = \frac{ - 9}{ 3} \\ \: \: \: \: = - 3 \\ hope \: it \: helps.....[/tex]

solve the system of equations using elimination 3c - 8d =7 and c + 2d = -7

Answers

Answer:

d=-2 c=-3

Step-by-step explanation:

3c-8d=7

4(c+2d=-7)

3c-8d=7

4c+8d=-28

4c+3c-8d+8d=7-28

7c=-21

c=-3

c+2d=-7

-3+2d=-7

2d=-4

d=-2

Given.

[tex](3c-8d=7)=(c+2d=-7)[/tex]

Multiply 4 to the second equation.

[tex]4(c+2d=-7)[/tex]

[tex]3c+8d=-28[/tex]

Compare the like terms.

[tex]4c+3c-8d+8d=7-28[/tex]

Solve.

[tex]7c=-21[/tex]

Divide 7 to both sides

[tex]\frac{7c}{7}=\frac{-21}{7}[/tex]

[tex]c=-3[/tex]

Substitute (-3) for c into the original second equation.

[tex]c+2d=-7[/tex]

[tex]-3+2d=-7[/tex]

Add (3) to both sides.

[tex](-3+2d=-7)+3[/tex]

[tex]2d=-4[/tex]

Divide (2) to both sides.

[tex]\frac{2d}{2}=\frac{-4}{2}[/tex]

[tex]d=-2[/tex]

Check your work.

[tex]3(-3)-8(-2)=7[/tex]

[tex]-9+16=7[/tex]

[tex]7=7[/tex]

[tex]c+2d=-7[/tex]

[tex]-3+2(-2)=-7[/tex]

[tex]-3-4=-7[/tex]

[tex]-7=-7[/tex]

Therefore your answer is.

[tex]c=-3\\d=-2[/tex]

how many inches in 85937392 metres?​

Answers

Answer:

3383361889.8

Step-by-step explanation:

1 meter = 39.3701 inches

85937392 x 39.3701 = 3383361889.8

Answer:

3,383,361,889.76 inches

Step-by-step explanation:

1 meter = 39.37 inches

multiply 85937392 by 39.37

answer is 3383361889.76

If 153 = 2 (z +z)n, then what is the value of 4nz + 20

Answers

Answer:

The value of 4 n z + 20 = 173

Step-by-step explanation:

Explanation:-

Given  153 = 2 (z +z )n

          2 ( z + z) n = 153

         2 ( 2 z ) n = 153

          4 z n = 153

Adding '20' on both sides , we get

         4 z n + 20 = 153 + 20

         4 z n + 20 = 173

Final answer:-

The value of 4 n z + 20 = 173

A store displays the sign shown. You want to buy a belt that costs &8 and a pair of jeans. You have $18. Write and solve an inequality to find the original prices you can afford

Answers

Answer: P ≤ $10

Step-by-step explanation:

You have $18

You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10

This means that we the range of prices P that you can afford is:

P ≤ $10

This means that the price of the jeans can be, at maximum, 10 dollars.

A large cooler contains 15 liters of iced tea and A small cooler contains 5 liters of iced tea how many more milliliters of iced tea does the large cooler contain than the small cooler?

Answers

Answer:

10000 ml

Step-by-step explanation:

1 liter =1000 ml

15 -5 = 10

10 * 1000= 10000

anyone know thus multiple question.... yes you , i know you've saw this , your reading now ... please help (if you can of course )

Answers

Answer:

if union, U means plus,+

if intersect means minus, -

Can someone help me simplify these expressions

Answers

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Step-by-step explanation:

Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are  12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..

Answer: 6.9474 or 6.94736.

Please mark as Brainliest.

1. 3x + 5 = 5x -9


2. 2x + 5 = 3x - 3


3. 3x + 2 = 5x - 16


Pls again answer equation questions find x, I can do this but I am so exhausted.​

Answers

Answer:

1)7

2)8

3)9

Step-by-step explanation:

1)3x+5=5x-9

3x-5x=-9-5

-2x=-14

x=7

2)2x+5=3x-3

2x-3x=-3-5

-1x=-8

x=8

3)3x+2=5x-16

3x-5x=-16-2

-2x=-18

x=9

Hope I am correct and if I am not I will edit my answer

Answer:

1. x= 7

2. x= 8

3. x= 9

Step-by-step explanation:

1. 3x+5= 5x-9       2. 2x+5= 3x-3       3. 3x+2 = 5x-16

3x-5x= -9-5           2x-3x = -3-5           3x-5x = -16-2

-2x= -14                         -x = -8               -2x = -18

x= -14/-2                           x = -8/-1              x = -18/-2

x = 7                                       x = 8                   x = 9

what is the sum of (2x−6)+4(x−3)

Answers

Answer:

6x - 18

Step-by-step explanation:

2x-6 + 4x-12

6x - 18

Answer:

6x - 18

Step-by-step explanation:

(2x−6)+4(x−3)

Distribute

2x -6 + 4x - 12

Combine like terms

6x - 18

What is the value of x?

Answers

Answer:

x = 98

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = 53+45

x = 98

Answer:

x°=98°

Step-by-step explanation:

Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.

x°=98°

A SSS
B AAA
C SSA
D None of the choices are correct ​

Answers

Answer:

B

Step-by-step explanation:

Answer:

AAA

Step-by-step explanation:

We see that three set of angles are the same in the different triangle hence

It is congruent by Angle Angle Angle AAA

<UST = <QSR

<UTS = < QRS

<TUS = < SQR

Which of the following is Th e equation of the boundary line shown in the following inequality?


a. y = -x + 3/5

b. y= -x + 5/3

c. y= 3/5x - 1

d. y= 5/3x - 1

Answers

Answer:

The answer is C.

Step-by-step explanation:

Mark me brainiiest.✌✌

Which of the following functions is graphed below?

Answers

Answer:

B

Step-by-step explanation:

there's no point on x^2 +3 at 4 so x < 4 making it B

Which of the following is a quadratic function?

in photo..

Answers

Answer:

[tex]f(x)=-3x^2[/tex]

Step-by-step explanation:

A quadratic function is a function in which its degree (Highest power of the variable) is 2.

[tex]f(x)=-3x^2[/tex] is the function that has a degree of 2.

rewrite 5√4 * √2 as a single radical.

Answers

Answer:

the 2nd

Step-by-step explanation:

[tex] \sqrt[5]{4} \times \sqrt{2 } \\ {4}^{ \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{2 \times \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{ \frac{2}{5} + \frac{1}{2} } \\ {2}^{ \frac{9}{10} } = \sqrt[10]{ {2}^{9} } [/tex]

Answer:

The next answer is 6x^4

Step-by-step explanation:

On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.

Answers

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

Someone tell me answer!!!

Answers

Answer:

X=70

Step-by-step explanation:

180-120=60

60 + 50=110

180-110=70

Answer:70°

Step-by-step explanation:

missing angle- 180°-120°= 60

a total triangle= 180°

so x = 180-(50+60)

=180-110

x=70°

Which graph represents a function??

Answers

Answer:

To be a function a graph must pass the vertical line test and the only one that does this is the bottom right one.

Answer:

Bottom Right

Step-by-step explanation:

A function has only one y value for every x value. The upper left graph has many y values for the x value of 1, the bottom left graph has two y values for each x value and so does the upper right graph. the Bottom right graph is the only option with one y value for every x value.

Which are the side lengths of a right triangle? Check all that apply.
3, 14, and 205
6, 11, and 158
19, 180, and 181
O 3, 19, and 380
2, 9, and 185

Answers

Answer: 19, 180, 181

Step-by-step explanation:

a^2 + b^2 = c^2

19^2 = 361

180^2 = 32,400

32,400 + 361 = 32,761

Square root of 32,761 = 181

Answer:

19,180,181

Step-by-step explanation:

I'm not rlly sure how to explain but I hope this helps though..!

This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar

Answers

Answer: 200 grams of oats, 0.96 liters of milk, 72 grams of sugar

Step-by-step explanation: 5 / 4 = 4/5. 4 is four-fifths of 5. So multiply everything by 4/5

250 * 4/5 = 200 grams

1.2* 4/5 = 0.96 liters

90* 4/5 = 72 grams

What is the 5th term of the linear sequence below?

-5,-2,1,4,7,

Answers

Answer:

The sequence has '+3' each time, so the next will be 10

Step-by-step explanation:

it is 10 cuz it goes from -5 adding 3

Find the equation of the circle whose center and radius are given. center ( 5, 6), radius=3

Answers

Answer:

(x-5)^2 + (y-6)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-5)^2 + (y-6)^2 = 3^2

(x-5)^2 + (y-6)^2 = 9

Given the range {-1, 5, 9), what is the domain for the relation y = x + 3?

Answers

Answer:

yes

Step-by-step explanation:

because it happens that way that it wants

Answer:

The answer is {-4,2,6}

Step-by-step explanation:

I am sorry if i had more time i would explain but i gotta go.

The members of a basketball team need to
raise $895 for new uniforms. They already
have $351 from food sales. To raise the
remainder, they are planning a shoot-out
challenge. If 34 teams sign up, how much
must they charge per team to meet their
goal?

Answers

Answer:

$16

Step-by-step explanation:

First subtract $351 from $895 to find the dollar amount we're considering.

($895 - $351 = $544)

Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged.  ($544 / 34 = $16)

What is the frequency of a wave with a period of 0.2 seconds?

Answers

Answer:  5 Hz

The frequency is the inverse of period... Them:

[tex]f=\frac{1}{T}=\frac{1}{0.2}=5 Hz[/tex]

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