Find the 64th term of the arithmetic sequence -4, -21, -38, ...−4,−21,−38,...

Answers

Answer 1

Answer:

-1075

Step-by-step explanation:

Answer 2

The 64th term of the arithmetic sequence -4, -21, -38, .... is -1075.

What is Arithmetic Sequence?

Arithmetic sequences are a set of numbers written in an order where the difference of any two consecutive term will be a constant. This constant difference between the consecutive terms is called the common difference commonly denoted by 'd'. In other words, arithmetic sequences are formed by adding or subtracting a constant number to each term.

Arithmetic sequences are also known as arithmetic progression.

Here, the given sequence is -4, -21, -38, ...

Common difference, d = (-21) - (-4) = -21 + 4 = -17

First term, a = -4

We have to find the 64th term of this sequence.

nth term of an arithmetic progression is given by the formula,

aₙ = a + (n - 1)d

a₆₄ = -4 + [(64 - 1) × (-17)]

     = -4 + [63 × (-17)]

     = -4 + (-1071)

     = -1075

Hence the 64th term of the arithmetic sequence -4, -21, -38, .... is got as  -1075.

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Related Questions

Isaiah spent $19.60 on a gift for his mother. The amount that he spent on the gift was StartFraction 5 over 7 EndFraction of the total amount that he spent at the store.


Which statements can be used to find x, the total amount that Isaiah spent at the store? Select three options.

A. StartFraction 5 over 7 EndFraction = StartFraction x over 19.60 EndFraction

B. StartFraction 5 over 7 EndFraction x = 19.60

C. StartFraction 5 over 7 EndFraction (StartFraction 7 over 5 EndFraction) x = 19.60 (StartFraction 7 over 5 EndFraction)

D. StartFraction 5 over 7 EndFraction (StartFraction 7 over 5 EndFraction) = StartFraction x over 19.60 EndFraction (StartFraction 7 over 5 EndFraction)

E. x = 27.44

Answers

Answer:

B,C and E

Step-by-step explanation:

I did the test

Answer:

that one dude is correct i can confirm this like frfr

Step-by-step explanation:

Can somebody help me??

Answers

Answer:

b and c are your answers

Step-by-step explanation:

Hopefully this helps :)

What is 3/4 divided by 1/8? Explain or show your reasoning.

Answers

Answer:

6

Step-by-step explanation:

You just have to flip 1/8 and do 3/4 x 8/1 which would equal to 6.

23 % as a fraction in its simplest form.

Answers

Answer:

23/100

Step-by-step explanation:

i do not think you can simplify any further if you want simplest form.

A(3,5) (x,y)->(x+2, y-4) What are the coordinates of A?​

Answers

someone help me please

I need help. I dont understand this part of my homework.. asap.. tyy

Answers

The range of the function represented by the graph is 1 < y < 8

What is the domain of a function?

The domain of the function is the set of input values of the graph

What is the range of a function?

The range of a function is the set of output values of the graph.

How to determine the domain and the range?

The graph represents the given parameters

On the graph, we have the following endpoints

Closed circle at (-13, 4)

Open circle at (11, 1)

Maximum = (4, 8)

The definition of the range implies that the range of a function is the set of y values of the graph.

Recall that

Closed circle at (-13, 4)

Open circle at (11, 1)

Maximum = (4, 8)

Remove the larger y value of the endpoints

Open circle at (11, 1)

Maximum = (4, 8)

Remove the x coordinates

So, we have

Open circle at (1)

Maximum = (8)

Combine the y values

1 < y < 8

Hence, the range of the function is 1 < y < 8

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3/5y+(-6/5y) help me plz ​

Answers

Answer:

I think it's 5 bc hypothetically speaking

quadrilateral KLMN was translated 2 units to the left and 5 units down to create quadrilateral K'L'M'N. which rule describes this transformation

Answers

Answer:

(x, y ) → (x - 2, y - 5 )

Step-by-step explanation:

A shift of 2 units left is equivalent to subtracting 2 from the x- coordinate.

A shift of 5 units down is equivalent to subtracting 5 from the y- coordinate.

Thus transformation rule is

(x, y ) → (x - 2, y - 5 )

A rectangular lot is 120 meters long and 85 meters wide.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.

Answers

The length and width of another rectangular lot that has the same perimeter but a smaller area will be 140 and 65m

How to illustrate the information?

It should be noted that perimeter is calculated as:

Perimeter = 2(Length + Width)

Perimeter = 2(120 + 85)

Perimeter = 410m

Therefore, the length and width of another rectangular lot that has the same perimeter but a smaller area will be 140 and 65.

The area will be:

= 140m × 65m

= 9100m²

This is smaller than (120 × 85) = 10200m².

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Who knows the answers to both of these

Answers

Answer:

5.exactly 1

6.exactly 1

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

the answer for both questions is b

Step-by-step explanation:

because there is only one possible answer

there are 5 red shoes, 4 green shoes. if one draw randomly a shoe what is the probability of getting a red shoe?

Answers

The probability is 5/9

x +5/9x=2{3-x}
How do i solve it

Answers

Answer:

x = 27/16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

x + 5/9x = 2(3 - x)

Step 2: Solve for x

Distribute 2:                              x + 5/9x = 6 - 2xCombine like terms:                 14/9x = 6 - 2xAdd 2x on both sides:              32/9x = 6Divide 32/9 on both sides:      x = 27/16

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    27/16 + 5/9(27/16) = 2(3 - 27/16)Multiply:                               27/16 + 15/16 = 2(3 - 27/16)Subtract:                              27/16 + 15/16 = 2(21/16)Multiply:                               27/16 + 15/16 = 21/8Add:                                     21/8 = 21/8

Here we see that 21/8 does indeed equal 21/8.

∴ x = 27/16 is a solution to the equation.

The angle between the generator and the central axis of a double-napped cone is 50°. Which conic section is formed when a plane intersects the central axis at 50°?

circle
ellipse
parabola
hyperbola

Answers

Answer:

Parabola

Step-by-step explanation:

A parabola will be formed when a plane intersects the central axis at 50°

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

The angle between the generator and the central axis of a double-napped cone is 50° and a plane intersects the central axis at 50°

Ф = ∅

Where Ф is the angle between the vertical axis and plane and

is the angle between the generator and central axis.

When both angles are the same the parabola is formed by the intersection of the plane.

Thus, a parabola will be formed when a plane intersects the central axis at 50°

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The function f(x) = x is translated 6 units right and 8 units up. Which function represents the transformation?

Answers

Answer: g(x)=(x-6)+8

the equation y = 5x + 2 is parallel to the equation y = -5x - 5.

Answers

false bc for it to be parallel the slopes have to be the same and it isnt here (5 and -5)

pls help math esperts

Answers

Answer:

Jackson spent $4.25 on his lunch

Step-by-step explanation:

because $6.50- $2.25 is $4.25

Answer:

$4.25

Step-by-step explanation:

so for this problem you need to solve for jackson the way you do this is you take Matt's price for lunch and subtract it by the 2.25 to get jackson's answer cuz Matt spent $2.25 more than jackson

can someone help me with this please

Answers

Answer:

Step-by-step explanation:

The wording on this is not the best.  It sounds like the 1 zero has even multiplicity (that's because of where the modifier is). On top of that it has an odd power.  You could try this. y =x*(x^2+1)^2

The problem is not with the power. It gives x^5. The problem is with the multiplicity of the one place where it crosses. (X^2 + 1) does factor, but it gives a complex root. I'm not sure that's allowed. However, it is the best I can do.

Plz help i have tried everything

Answers

Answer:

Step-by-step explanation:

I'm going to leave my answer, but it is not correct. Ms. Clarke gave you the write interpretation. If you are still around, give her the Brainiest.

Answer:

A. y=3/4x-1

Step-by-step explanation:

(5x^4 + y^5)^2

HELP.

Answers

y^10 + 10x^4y^5 + 25x^8

Hi!! Can you help me with this math problem? UvU okaayy TYYY!!


Which statement is not true for the parabola who equation is y= 2x^2- 12x +29


- The parabola opens upward

- The vertex is ( -3, 11)

- The axis of symmetry is x= 3

- The parabola contains the point ( 1, 19)


Again, thank q sm for helpingggg <3 I will give brainliest and Thanks hehe

Answers

Answer:

I just graphed it in desmos for you UvU

The second answer is false. The vertex is not (-3, 11). The vertex is (3, 11). I can see that the parabola has a point of (1, 19), and the parabola opens upward, as well as has an axis of symmetry; x = 3.

Hope that helps

A town has a population of 9000 and grows at 3% every year. What will be the population after 9 years, to the nearest whole number?

Answers

Answer:

11743

Step-by-step explanation:

correct on deltamath

Answer:

11743

Step-by-step explanation:

I need help! :) please & ty

Answers

Answer:

Step-by-step explanation:

NO we can not prove ΔDEF ≅ΔOPQ using SAS congruence theorem becasue we are given ( not a Side Angle Side)

∠D≅∠O (Angle)

DF ≅ OQ (Side)

∠F ≅∠Q (Angle)

HOWEVER,

The  ΔDEF ≅ΔOPQ because ASA concruence.

Please help!! 35 points!!

Martin throws a water balloon from his bedroom window straight down to hit his older brother on the head. The speed of the water balloon is 23 feet per second. Martin’s window is 24 feet about the ground, and his brother is 6 feet tall.

How long does it take for the balloon to hit Marin’s brother in the head?

Answers

Answer:

It should take 17.28 seconds

Step-by-step explanation:

Its hard to explain, sorry! :)

HELP ME PLEASE I AM BEGGING

Answers

Answer:

H

Step-by-step explanation:

well it would be a proportion. so 5 cans per 3 days gives you 5/3. then for the next proportion. it would also be cans over days. so c / 7

5/3 = c/7

answer is H

Factorise 9xsquared +3xcubed

Answers

Answer:

=3x^2\left(3+x\right)

Step-by-step explanation:

Find the common difference in the arithmetic sequence 0.09,0.15,0.21

Answers

Answer:

0.06

Step-by-step explanation:

let 0.09 be a1

and 0.15 be a2

and 0.21 be a3

common difference = a2-a1 or a3-a2

a2-a1= 0.15-0.09 = 0.06

a3-a2= 0.06

hence the common difference in the ap in 0.06

need help Bad!!!!!!!!

Answers

Answer:

z=118 y=21

Step-by-step explanation:

for z

since 2 sides of a line should equal 180 degrees, subtract 62 from 180

180-62=118 since z and the side opposite of 62 are congruent so

z=118

for y

62 and [tex]5y-43[/tex] are congruent so set them equal to each other and solve:
[tex]5y-43=62\\5y=105\\\\y=21[/tex]

A function is shown on the coordinate plane below. 3 2 1 -4-3 -2 -1 3 4 N -2 -3 Over which intervalls) is the function increasing? Select all that apply. 0​

Answers

Answer:

0 < x < 2

2 < x < 3

-1 < x < 0

Step-by-step explanation:

I would have to say those ones.

Hope this helps.

Answer:

0 < x < 2

2 < x < 3

-1 < x < 0

Step-by-step explanation:

am I'm correct I linked a picture with it​

Answers

Answer: B

Step-by-step explanation:

Use the Triangle Theorem.

Now, we have to find every number involved squared.

2² = 4

3.6² = 12.96

Add the given components.

12.96 + 4 = 16.96

Our final answer is 16.96

Best of Luck!

Answer:

TRUST ME ITS C

Step-by-step explanation:

use the theorem

2 squared is 4

3.6 squared is 12.96

you need to add them which is 16.96 and find its square root

Solve for x: 3x + 4 = 9x + 3

Answers

Answer:

x = 1/6

Step-by-step explanation:

Subtract 4 from both sides of the equation.

3x + 4 - 4 = 9x + 3 - 4

Simplify, subtract the numbers.

3x = 9x - 1

Subtract 9x from both sides of the equation.

3x - 9x = 9x - 1 - 9x

Simplify, combine like terms.

-6x = -1

Divide both sides of the equation by the same term.

-6x/-6 = -1/-6

Simplify, cancel terms that are in both the numerator and denominator, and divide the numbers.

x = 1/6

The solution to the given equation 3x + 4 = 9x + 3 is x = 1/6.

The equation is given as follows:

3x + 4 = 9x + 3

To solve the equation 3x + 4 = 9x + 3 for x, we need to isolate the variable x on one side of the equation.

Start by subtracting 3x from both sides of the equation to move all the terms involving x to one side:

3x - 3x + 4 = 9x - 3x + 3

4 = 6x + 3

Next, subtract 3 from both sides to isolate the term with 6x on the right side:

4 - 3 = 6x + 3 - 3

1 = 6x

Divide both sides of the equation by 6 to solve for x:

(1)/6 = (6x)/6

1/6 = x

Thus, the solution to the equation is x = 1/6.

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