Can an infinite arithmetic series ever converge?

Answers

Answer 1
An arithmetic series never converges: as \(n\) tends to infinity, the series will always tend to positive or negative infinity. Some geometric series converge (have a limit) and some diverge (as \(n\) tends to infinity, the series does not tend to any limit or it tends to infinity).

Related Questions

What is the slope of the line described by the equartion below?
y = -2x + 4
I need help.

Answers

Answer:

C. –2

Step-by-step explanation:

The slope is equal to the number multiplying the x

Answer:

C

Step-by-step explanation:

Compare the equation to the line intercept form of a line, y=mx+c. m here represents the slope of the line. So m=-2

PLS HELP ON TIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER.
A _______________ can be used to display an interval of values from a data set.

A. bar graph
B. any of these
C. dot plot
D. histogram

Answers

Answer:

Histogram

Step-by-step explanation:

I hope it is helpful

please help me to solve this

Answers

Answer:

Step-by-step explanation:

a) 3x^2

b) (512)^-2/3=2^n

1/64=2^n

n=-6

The first one Is 3x^2

16x + 90 = 2 ( 10x + 5 ) answer

Answers

Answer:

x = 20

Step-by-step explanation:

[tex]16x+90=2(10x+5)\\\\16x+90=20x+10\\\\90=4x+10\\\\80=4x\\\\20=x[/tex]

Solve the proportion.
x+5/4 = 2x+1/2
A) x=1
B) x = -1
C) x=2/3
D) x=-2/3​

Answers

Answer:

1 = x

Step-by-step explanation:

x+5/4 = 2x+1/2

We can use cross products to solve

2(x+5) = 4(2x+1)

Distribute

2x+10 = 8x+4

Subtract 2x from each side

2x+10-2x = 8x-2x+4

10 = 6x+4

Subtract 4 from each side

10-4 = 6x+4-4

6 = 6x

Divide by 6

6/6 = 6x/6

1 = x

What is 41.095 rounded to 1,2 and 3 significant figures​

Answers

Answer:

Step-by-step explanation:

Rounded to 1 sig fig, the number is 40; rounded to 2 sig fig's, the number is 41; rounded to 3, the number is 41.1

4.
Find the inverse of A if it has one, or state that the inverse does not exist.

Answers

Answer:

Hello,

[tex]\begin{bmatrix}\dfrac{-1}{5} &0\\\dfrac{-1}{10}&\dfrac{1}{4}\end{bmatrix}[/tex]

Step-by-step explanation:

See jointed file

The inverse of the matrix A is

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

What is a matrix?

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

[tex]A = \left[\begin{array}{cc}-5&0\\-2&4\end{array}\right][/tex]

The matrix A is a square matrix and its determinant is not zero.

So the inverse exist.

The inverse of matrix A.

We will change the rows into columns and columns into rows.

So,

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

Thus,

The inverse of the matrix A is given above.

Learn more about matrix here:

https://brainly.com/question/28180105

#SPJ2

*NEED AN ANSWER ASAP* Find x+y given the angle measures in trapezoid EFGH below.

Answers

Answer: x + y = 150

Explanation

y - 65 = 110

y = 110 + 65 (Alternate Interior)

y = 175

y - 65 = 110

∠FGH = 70

70+55+x+45+110 = 360 (sum of angles of a quadilateral is 360)

x + 280 = 360

x = 360 - 280

x = 80

So

x + y = 70 + 80

= 150

Must click thanks and mark brainliest

If l || m, classify the marked angle pair and give their relationship, then solve for x.

Answers

Answer:

14. x=16, 15. x=9

Step-by-step explanation:

14.

4x+4=7x-44 by alternate exterior angles

3x=48

x=16

15.

15x-26=12x+1 by alternate exterior angles

3x=27

x=9

write as an inequality 9 is greater than or equal to w, and -7 is less than or equal to w

Answers

[tex]9 \geqslant w \\ \\ - 7 \leqslant w[/tex]

"9 is greater than or equal to w" translates to [tex]9 \ge w[/tex] which flips to [tex]w \le 9[/tex]. We swap both sides and flip the inequality sign as well.

"-7 is less than or equal to w" translates to [tex]-7 \le w[/tex]

We have [tex]-7 \le w[/tex] and [tex]w \le 9[/tex] which then ultimately combine into the compound inequality [tex]-7 \le w \le 9[/tex]

Final Answer: [tex]-7 \le w \le 9[/tex]

more points and more brainliest! Just answer this question
(correct answer will get brainly)

Answers

Answer:

There are 3 numbers that are not whole numbers.

3/4, 3.7, and sqrt 3 are not whole numbers

Answer:

3

Step-by-step explanation:

There are only 3 that aren't whole numbers. The whole numbers are: 32, 1,265, 3000, and 1. The numbers that aren't whole are: 3/4, 3.7, and √3

Please help if possible its important!!​

Answers

Answer:

600 ft³

Step-by-step explanation:

Base area: B

Base is triangle

base = 12 ft and height = 5 ft

Area of triangle = B = [tex]\frac{1}{2}* \ base * \ height[/tex]

                                 [tex]= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}[/tex]

H = 20 ft

Volume = B * H

             = 30 * 20

             = 600 ft³

ncert maths class 10 solution 5.1 4

Answers

Can you attach a picture to your question?

I would love to help you out.

Answer:

Step-by-step explanation:

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1

           where is question ??

Which technique is vital for giving an effective presentation?
A.
Focus on the audience’s opinions of your topic.
B.
Use eye contact and speak clearly and deliberately.
C.
Reference only your own thoughts and opinions about the topic.
D.
Use technical terms when speaking to an informal audience.
E.
Analyze the audience right before delivering your speech.
Reset

Answers

Answer:

B.

Use eye contact and speak clearly and deliberately.

Step-by-step explanation:

let me know if you have any questions

Answer:

b

Step-by-step explanation:

because

solve the inequality
[tex] \frac{1}{3} x \: + 1 \geqslant \frac{1}{2} x + \frac{1}{4} (2 - x)[/tex]

Answers

Answer:

x >= -6

Step-by-step explanation:

Multiply:

(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x

Combine like terms:

(1/3)x + 1 >= (1/4)x + 1/2

Move the x's on one side and the integers on another:

(1/3)x - (1/4)x >= 1/2 - 1

(1/12)x >= -1/2

x >= -6

I hope this helped! :D

Simplify.
2(x + 2) -x+3(-x-2) - (2x + 4)

Answers

Answer:

-4x - 6

Step-by-step explanation:

2(x + 2) - x + 3(-x-2) - (2x + 4)

=> 2x + 4 - x + -3x - 6 - 2x - 4

=> 2x - 2x - x - 3x + 4 - 6 - 4

=> -4x - 6

Find x in the given figure
A: 60°
B: 55°
C: 125°
D: 35°

Answers

Answer:

C: 125

Step-by-step explanation:

First of all we can see that one angle is 55 degrees. Due to the fact it is on a straight line, we can assume to angle directly on the left of it, 6 is 180-55. Because a straight line is 180 degrees and we already have 55 degrees filling it. So if we do that, we can see that angle number 6 is 125 degrees. Which if we use the corresponding angles theroem, we get that angle number 1 is also 125 degrees. And because number 1 and x are corresponding angles, x is also 125 degrees. There are many ways to do it but I did this way the fastest. I challenge you to try to find another way to solve it.

Hope this helps!

^^Unfortunately, the answer is not 125.


In order for the answer to be 125, it would have to be obtuse, more than 90 degrees.


As you can CLEARLY tell, that angle is not larger than 90. That’s just common knowledge.

Angle X is 55.


Please do not listen to the person above me.

Thank you, hope this helps.

Max A = 15 - x^2 - x​

Answers

Answer:

not exactly sure what the question is but

if it is "what is the max that 15 - x^2 - x can be

then 2x-1 = 0 solves that

x = 1/2

Step-by-step explanation:

Tanisha has 7 less than 4 times as many
toy cars as Fernando. If Tanisha has 9
cars, how many toy cars does Fernando
have?
a. 2 toy cars
b. 4 toy cars
c. 8 toy cars
d. 29 toy cars

help!

Answers

Answer: D is my guess.

Step-by-step explanation:

If you multiply those two number and subtract it by tanisha that probably is your answer if I'm  incorrect I'm sorry hopefully this helped

help ASAP!!!
bensnsnana

Answers

Answer:

c

Step-by-step explanation:

plug in 6 or -6 into x. square it. get 36 -11 =25

Answer:

c/d(most likely d)

Step explanation:

f(x)=x^2-11

For f(x) to be <25 x^2-11 must be x^2-11 < 25

Number just greater than 25 is 26 so x^2-11<25

x^2-11<25

x^2<36

x<√36

Therefore, for x^2-11<25 x must be between +6 & -6

Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)

Please help me solve this!

Answers

Answer:

Step-by-step explanation:

Reference angle = 27

height = 2

Sin(27) = opposite / hypotenuse

hypotenuse = opposite / sin(27)

opposite = 2

hypotenuse = 2 / sin(27)

hypotenuse = 4.405

The ramp has to be 4.41 feet long.

3x - 28= 80
What is the value of x?
Cual es el valor de x?

Answers

Answer:

3x-28 = 80

3x = 108

x = 36

Let me know if this helps!

Can you help with number 9,10,12

Answers

for question 9 the answer will be in the photo

Find $ \left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3} $.

If thats to hard to read its (5/12)^4 (12/15)^3

Answers

Question:- Find

[tex]\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}[/tex]

Answer:-

[tex]\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}[/tex]

Taking power inside the bracket

[tex] \frac{5^{4} }{ {12}^{4} } \times \frac{ {12}^{3} }{ {15}^{3} } [/tex]

[tex] \frac{ {5}^{4} }{ {12}^{4 - 3} } \times \frac{1}{ {(5 \times 3)}^{3} } \\ \frac{ {5}^{4} }{12} \times \frac{1}{ {5}^{ 3 } \times {3}^{3} } \\ \frac{ {5}^{4 - 3} }{12 \times {3}^{3} } \\ \frac{5}{4 \times 3 \times {3}^{3} } \\ \frac{5}{4 \times {3}^{4} } = \frac{5}{4\times81 } \\ Answer-> \frac{5}{324} [/tex]

[tex]Power\:Form-> \frac{ 5 }{12 \times {3}^{3} } [/tex]

6g+5 =-2(1+2g)
------------------

Answers

Answer:

g: -7/10 or -0.7

Step-by-step explanation:

[tex]6g+5=-2\left(1+2g\right)[/tex]

Apply the distributive law:-

[tex]-2\left(1+2g\right)[/tex]

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

[tex]6g+5=-2-4g[/tex]

Now, we´ll Subtract 5 from both sides :-

[tex]6g+5-5=-2-4g-5[/tex]

[tex]6g=-4g-7[/tex]

Add 4g to both sides :-

[tex]6g+4g=-4g-7+4g[/tex]

[tex]10g=-7[/tex]

Now, divide both sides by 10:-

[tex]\frac{10g}{10}=\frac{-7}{10}[/tex]

[tex]g=-\frac{7}{10}[/tex]

OAmalOHopeO

Given h ( x ) = 2 x − 1 h(x)=2x−1, find h ( − 1 ) h(−1).

Answers

Answer:

-3

Step-by-step explanation:

for this function you have to replace -1 were there's x in the function h(x)=2x-1

h(-1)=2(-1)-1

=-2-1

=-3

hope this helps

If you divide $65 in the ratio 6:7, what is the smaller part?
A. $13
O B. $26
C. $30
OD. $35

Answers

Answer:

$30

Step-by-step explanation:

Let the ratios be 6x and 7x

Then 65 = 6x + 7x

65 = 13x

x = 65/13

x=5

6x = 6 x 5 = $30

7x = 7 x 5 = $35

Answer From Gauth Math

the answer is $30!!!!!!!!!!

x+5≤−4 solve for x

(uh bananas)

Answers

Answer:

x≤−9

Step-by-step explanation:

x+5≤−4

Subtract 5 from each side

x+5-5≤−4-5

x≤−9

Find the circumference of a circle with a radius of 35 inches in terms of pie add to the nearest 10th of an inch

Answers

Circumference of circle = 2 π r

π = 3.14r = 35 inches

Now , Substuting the values

Circumference of circle = 2 × 3.14 × 35

Circumference of circle = 6.28 × 35

Circumference of circle = 219.8 inches

Nearest 10ᵗʰ of 219.8 is 220

Hence , the Circumference of circle is 220 Inches.

[tex] \overline{ \underline{ \boxed{ \frak{Given }}}}[/tex]

Find the circumference of a circle with a radius of 35 inches in terms of pie add to the nearest 10th of an inch

[tex] \overline{ \underline{ \boxed{ \frak{Solution}}}}[/tex]

Given that :

Radius = 35 inches

π = 3.14

Formula for getting the circumference :

[tex] \star \: \underline{ \pink{\boxed{\frak{Circumference_{(Circle)} = 2πr}}}}[/tex]

Putting the values in the formula we get :

[tex] \twoheadrightarrow \frak{Circumference_{(Circle)} = 2 \times 3.14 \times 35 \: in}[/tex]

[tex]\twoheadrightarrow \frak{Circumference_{(Circle)} = 3.14 × 70 in }[/tex]

[tex] \twoheadrightarrow \frak{Circumference_{(Circle)} = 219.8 \: inches}[/tex]

Henceforth, the circumference is 219.8 inches

But we are given to convert it into the nearest 10th

As 8 > 5

The Circumference of the Circle will be 220 inches

Refer to picture
Need help on Q.8

Answers

Answer:

Rajan = 436.36 rupees and Kamal = 363.63 rupees

Step-by-step explanation:

Total ratio = 11/30

Amount to be shared = 800

Rajan = Individual ratio / Total ratio x the total amount to be shared

1/5 ÷11/30 × 800 = 436.36

Kamal = 1/6 ÷ 11/30 × 800 = 363.63

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