Find the 54th term of the arithmetic sequence —2,-8,-14, ...

Answers

Answer 1

Answer:

-320

Step-by-step explanation:

You would first create an explicit formula for the provided sequence.

The basic explicit formula for arithmetic sequences is , [tex]a_{n} = d(n-1) + a_{1}[/tex]where an is the number of the term, d is the number you are adding or subtracting by, n the location of the term, and a1 is the first number.

We would then substitute the values given.

We are trying to solve the value of the 54th term. This makes n = 54. The first number of the sequence is -2, so a1 is -2. Finally, d is -6 because we are subtracting 6 to each number in the sequence.

Therefore, our resulting equation would be[tex]a_{n} =-6(54-1)-2[/tex] , which equals -320.

Answer 2

Answer:

-320.

Step-by-step explanation:

n54 = a1 + d(54 - 1)

Here a1 = -2 and d = -8 - (-2) = -6.

So 54th term = -2 + -6*53

= -320.


Related Questions

if lines AB and CD are parallel, then angles C and E are ​

Answers

Answer: Angles C and E are same side interior angles.

Step-by-step explanation:

Write an equation in slope intercept form of the line that passes through (1,-9) and (-3,-9)

Answers

Answer:

Y = -9

Step-by-step explanation:

No slope because the y - coordinates are the same.

Hioe this helps. Pls give brainliest.

Answer:

y=-9

Step-by-step explanation:

Payson practices his tuba at
least 36 hours a month. He has
13 private lessons at h, hours
long. He also practices 10 hours
on his own every month. Solve. I needs to be an equation with a <.
for the amount of h, hours, in
each private lesson.
Hint: You will need to write an
inequality first in order to solve!

Answers

Use h for variable for the hours in private practice.


AD=
DC=
Angle a=
Angle b=
Angle c=

Answers

9514 1404 393

Answer:

  AD= 8

  DC= 15

  Angle a= 112°

  Angle b= 68°

  Angle c= 112°

Step-by-step explanation:

We have to assume the figure is a parallelogram.

Opposite sides of a parallelogram are congruent, so ...

  BC = AD = 8

  AB = DC = 15

Opposite angles are congruent, and adjacent angles are supplementary.

  180° - ∠D = Angle a = Angle c = 112°

  ∠D = Angle b = 68°

How do i find the measures of each numbered angle ​

Answers

Answer:

The angles of every triangle add up to 180

Step-by-step explanation:

Angle 2=52) Add 71+57=128. 180-128=52

Angle 1= 123) Angle 57 and 1 are supplementary angles which means they add up to 180. So subtract 57 from 180 which will give you 123.

Angle 3= 29) Now that we know that angle 1 is 123, we add 123 and 28 which gives 151. Then subtract 180-151 which equals 29.

This problem was like a pattern. You work with one part at a time and then you unsolve each part :)

The angles in the triangle are as follows;

∠1 = 117 degrees

∠2 = 52 degrees

∠3 = 35 degrees

How to find the angles in a triangle?

A triangle is a polygon with three sides . The sum of angles in a triangle is 180 degrees.

The angles can be found as follows in the triangle.

∠1 = 180 - 57 = 117 degrees(sum of angles in a triangle)

∠2 = 180 - 71 - 57(sum of angles in a triangle)

∠2 = 52 degrees

∠3 = 180 - 28 - 117

∠3 = 35 degrees

learn more on triangles here: https://brainly.com/question/18854964

#SPJ6

Craig likes to collect records. Last year he had 10 records in his collection. Now he has 11 records. What is the percent increase of his collection?

Answers

Answer:

40%

Step-by-step explanation:

Determine the range of the following graph


Answers

Answer:

Step-by-step explanation:

Range: [3, 8]

Which number is irrational?
0.3
5/6

Answers

I think it’s neither

Which is greater 5.35 or 8.19

Answers

Answer:

8.19

Step-by-step explanation:

8 is greater than five, 8.19 just means that it's 18 but with 0.19 added. 5.35 means its just 5 but with 0.35 added.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

8.19 is greater

Step-by-step explanation:

Carpenters refer to the slope of a roof as the pitch of the roof. Find the pitch of the roof.

Answers

There are free tutor on my website just got to freetutor.com
The span (the total horizontal straight line distance that the structure of the roof crosses between two walls) is given as 30 feet. The high point of the roof is in the middle of this span and it is 6 feet.

round 1 5/9 to the nearest half A.1 B.1 1/2 C.2 D.2 1/2

Answers

Answer:

I'm pretty sure the answer is B. 1 1/2 I hoped this helped

x+3>12 complete solution​

Answers

Answer:

x>9

Step-by-step explanation:

x+3>12

Subtract 3 from both sides.

x>12−3

Subtract 3 from 12 to get 9.

x>9

how do I solve 22-(-2c+4) =3(c+4) +c​

Answers

1. Distribute on both sides
22 - 2c - 4 = 3c + 12 + c
2. Simplify
18 - 2c = 4c + 12
3. Add like terms
18 = 6c + 12
6 = 6c
4. Solve for c by dividing
1 = c

.After traveling for 6.0 seconds, a runner reaches a speed of 10 m/s. What is the runner’s acceleration?

Answers

Answer:

1.67 m/s/s.

Step-by-step explanation:

Acceleration = increase of velocity/time

= 10/6

= 1.67 m/s/s.

HELP ME!!!! ITS URGENT
Guilherme wanted to buy a new computer. The apple store was having a 65% off black Friday sale. The 40 inch apple desktop was $1400. There was an additional door prize coupon that took $50 off more after the sale. What was Guilherme's final price for his apple desktop?

Answers

Answer:

hey do you want to join my zoom?

Step-by-step explanation:

Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?

Answers

im pretty sure it’s 15.77 because if you divide $78.75 by 5 you get that.

Answer:

13.695

Step-by-step explanation:

78.75/5=15.75/5.75=2.739*5=13.695

A car rental agency charges a weekly rate of $300 for a car and an
additional charge of 5 cents for each mile driven. How much miles can
you travel in a week for $500?
5,000 miles
3,000 miles
3,500 miles
5
4,000 miles
3
4,500 miles

Answers

Answer:

4,000

Step-by-step explanation:

At Dustin's Hats, 10 out of the 25 hats at the store are baseball caps. What percentage of hats at the store are baseball caps?

Answers

Answer:

BaseBall hats: 40%

Other Hats: 60%

Step-by-step explanation:

10/25= baseball hats or: 10*4: 25*4: 40/100: 40%

15/25= other hats: 15*4/25*4=60/100/ 60%

10 / 25 = 40 / 100
So 40% are baseball caps

Jim mowed 5/9 of a lawn. Sarah mowed 1/3 of the lawn. What fraction of the lawn remained to be mowed?

Answers

Answer:

1/9

Step-by-step explanation:

Because 1/3 is the same as 3/9, 5/9 + 3/9 = 8/9. so then 9/9 - 8/9 = 1/9. Giving them 1/9 of the lawn remained to be mowed.

Select all angles that MUST be supplementary to 9

Answers

Answer:

Angles supplementary to angle 9 = Angle 10, 7, 5, 1, 4, 3, 15, 12, 24, 22, 20, 19, and angle 16.

Step-by-step explanation:

Use the vertical, and corresponding angles theorem to find congruent angles.

Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.

Something is supplementary if it adds to 180 degrees.

The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.

The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.

I need four line that are parallel

Answers

___________________________

___________________________

___________________________

___________________________

These are parallel and equal lines.

Mark as brainliest.❤️

[tex]{\huge{\purple{\underline{\underline{\bf{\pink{\mathfrak{Thanks}}}}}}}}[/tex]

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What is the coefficient of the fourth term in this expression?
m3+2kn2+mn2+6k2n

Answers

The coefficients would be 6 and 2.
Coefficient of k would be 6 and for n it would be 2.

Solve for x: 2x – y = (3/4)x + 6.

(a) (y + 6)/5,

(b) 4(y + 6)/5,

(c) (y + 6),

(d) 4(y - 6)/5.

Answers

Answer:

its b

Step-by-step explanation:

2x -y = (3x+24)/4

8x - 4y= 3x + 24

5x=4y+24

5x=4(y+6)

x=4(y+6)/5

8 1/6 - 2 7/8 =

ANSWER ASAPPP .... AND ILL MARK BRAINLIEST

Answers

Answer:

5  7/24

Step-by-step explanation:

Answer:

5.29

Step-by-step explanation:

17 points
Jeremy drove 18.04 miles on Monday, 18.4 miles on Tuesday, 17.68 miles
on Wednesday, and 17.86 miles on Thursday. Which shows the distances
written in order from greatest to least? *
17.68, 17,86, 18.04, 18.4
18.04, 18.4, 17.86, 17.68
17.86, 17.68, 18.4, 18.04
O 18.4, 18.04, 17.86, 17.68

Answers

Answer:

D. 18.4, 18.04, 17.86, 17.68

Step-by-step explanation:

Very Easy!

Find the value of x and find the measures of each of the labeled angles.
5xº
4x

Answers

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[tex]5x + 4x + 5x + 4x = 360[/tex]

[tex]18x = 360[/tex]

Divide sides by 18

[tex] \frac{18x}{18} = \frac{360}{18} \\ [/tex]

[tex]x = 20[/tex]

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[tex]4(x) = 4(20) = 80°[/tex]

_________________________________

[tex]5x = 5(20) = 100°[/tex]

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What is the simplified value of the expression below?

12.4 x (negative 6.3)

Answers

Answer:

78.12

Step-by-step explanation:

Answer:

78.12

Step-by-step explanation:

help which one is the answer

Answers

1 : 115 ( add it up )

2 : 180 ( obtuse angle )

3 : 109 ( add it up )

* hope this helps :) *

Answer:

1) 103 degrees

2) 109 degrees

3) 65 degrees

Step-by-step explanation:

1) A line is 180 degrees, so 180 - 77 = 103 degrees. y = 103

2) All the angles in a triangle add up to 180 degrees, so 64 + 45 = 109. 180 - 109 = 135. x = 135

3) same as the last one, 68 + 47 = 115. 180 - 115 = 65. x = 65

What is the volume of a sphere with a radius of 41.8 in, rounded to the
nearest tenth of a cubic inch?

Answers

Answer:

305966.4in³

Step-by-step explanation:

Given parameters:

Radius of the sphere = 41.8in

Unknown:

Volume of the sphere = ?

Solution:

The volume of sphere is expressed as:

   V  = [tex]\frac{4}{3} \pi r^{3}[/tex]  

r is the radius;

  Input the parameters and solve;

       V  = [tex]\frac{4}{3 }[/tex] x [tex]\pi[/tex] x 41.8³

     V  = 305966.42in³

To nearest tenth of a cubic inch;

    V = 305966.4in³

Answer:

305926.8

Step-by-step explanation:

Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?

Answers

Answer:

25 1/2 square meters remaining

Step-by-step explanation:

Total area of the pool deck=76 1/2 square meters

He painted 2/3 of the deck before stopping for lunch

Total painted=2/3 of 76 1/2

=2/3*153/2

=306/6

=51 square meters

Total remaining=Total area - total painted area

=76 1/2 - 51

=153/2 - 51

=153-102/2

=51/2

=25 1/2 square meters remaining

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