Does the infinite geometric series diverge or
converge? Explain.
5 + 20 + 80 + 320 +

Answers

Answer 1

Answer:

Diverge

Step-by-step explanation:

Infinite geometric series:   In infinite geometeric series, if the common ratio 'r' is in between the interval -1 < r < 1, then it converges. If the common ratio 'r'  is is not in the interval -1 < r < 1, then it diverges.

5 + 20 + 80 + 320 + .....

   [tex]\sf Common \ ratio = \dfrac{second \ term}{first \ term}\\[/tex]

        [tex]\sf r = \dfrac{20}{5}\\\\ r = 4[/tex]

r = 4 is not  in the interval -1 < r < 1. So this infinite geometric series diverges.

Related Questions

A circle with some chord, where a diameter of a circle intersects the
midpoint of that chord. Prove: The diameter is perpendicular to the chord.

Answers

Answer:

Step-by-step explanation:

Answer:

This is a theorem that says "if a diameter of a circle bisects a chord, then it is perpendicular."

Step-by-step explanation:

30. The average of a list of 4 numbers is 92.0. A new list
of 4 numbers has the same first 3 numbers as the
original list, but the fourth number in the original list
is 40, and the fourth number in the new list is 48. What
is the average of this new list of numbers?
F. 81.0
G. 92.0
H. 94.0
J. 94.4
K. 96.6

Answers

Answer:

H. 94.0

Explanation:

The original list: [tex]a _1[/tex] [tex]a _2[/tex] [tex]a _3[/tex] [tex]40[/tex]

The new list: [tex]a_1[/tex] [tex]a_2[/tex] [tex]a_3[/tex] [tex]48[/tex]

[tex]\frac{a_1+a_2+a_3+40}{4} =92[/tex]

[tex]a_1+a_2+a_3=92[/tex] × [tex]4-40=328[/tex]

[tex]\frac{a_1+a_2+a_3+48}{4} =\frac{328+48}{4} =94[/tex]

pls solve and show steps!

Answers

Answer:

? Not a solution

Step-by-step explanation:

Abag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
a. 9 b. 4/3 c. 1/4 d. 3/4

Answers

Answer:

A: 9

Step-by-step explanation:

if p is red and green

Answer:

--------------------------HeyA-------------------------

GiveN :

Total no.of marbles : 12Total no.of red marbles : 8 Total no.of blue marbles : 3Total no.of green marbles : 1

To FinD :

P ( not blue )

SolvinG :

- First step is to find out P( blue )

P ( blue ) = 3 / 12 = 1/4

- Now , find out P ( not blue )

P ( not blue ) = 1 - 1/4 = 3/4

- Option D [ 3/4 ] is the right option.

--------------------HappY LearninG <3 --------------

2) Find the surface area of the cube. You should have at least 2 steps shown ​

Answers

Answer: 294 square millimeters

Step-by-step explanation:

Each side of the cube is 7 mm.

First, find the area of one face. The formula for the area of a square is [tex]s^2[/tex]. 7 mm squared is 49 square millimeters.

A cube has 6 faces, so multiply the area of one face by 6. 49*6 = 294 square millimeters

pleasee help me! One circle has a circumference of 12 cm. Another circle has a circumference of 32 cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle? 3:8 8:3 1:3 3:1

Answers

Answer:

A: 3;8

Step-by-step explanation:

12/2 = 6

32/2 = 16

6/2 = 3

16/2 = 8

3:8

answer the question then, I will award you with a answer to your question!

Answers

Answers:  585,  587, and 593

Basically everything except 599

==============================================================

Why?

Those answers in bold are closer to 590 than they are to 580 or 600. When rounding to the nearest ten (not tenth) we look at the units digit. If it is 5 or larger, then we bump the tens digit up by 1 and replace the units digit with a 0.

This explains why 585 and 587 round to 590

The number 599 rounds to 600 for similar reasoning, but we cross it off the list since we want 590.

The number 593 rounds to 590 because the 3 in the units digit isn't 5 or larger. So we just replace the 3 with 0 and keep everything else as is.

Solve. 3(a – 5) – 6 = –15

Answers

Answer:

a=6

Step-by-step explanation:

distribute:

3a-15-6=-15

combine like terms:

3a-21=-15

add 21 to each side:

3a=6

divide by 3:

a=2

Which expression can be used to find 532 divided by 4?
A: (500 divided by 4)+(30 divided by 4)
B: (500 divided by 4)+(32 divided by 4)
C: (500 divided by 4)+(30 divided by 4)+2
D: (500 divided by 4)+(32 divided by 4)+2

Answers

C: (500 divided by 4)+(30 divided by 4)+2

Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 532 ÷ 4 in expanded notation form is (500 divided by 4)+(30 divided by 4)+2

(128 ÷ 32) ÷ -4?

tysm for de help :D

Answers

Answer:

-1

Step-by-step explanation:

(128 ÷ 32) ÷ -4?

Alright, first things first lets think about PEMDAS.

Parenthesis first so 128/32 is 4!

4/-4 is going to be -1!

Your answer will be -1

Hope this helps!

The prices of bicycles at two stores are shown. Bikeville: 140, 160, 800, 235, 250, 450, 80, 115, 220, 250, 96, 290, 150 Discount Bicycles: 50, 180, 300, 110, 120, 150, 155, 285, 120, 200, 70, 175, 95

Sketch box plots to represent the prices of the bicycles.

Identify the five key values of each store’s prices.

Compare the two box plots.

Answers

Answer:

1. unknow

2. mean median range spread average

3. the bike Ville is more expensive in everything

Using Average, the prices of bicycles at two stores are compared.

What is average?

Average is the" sum of observations divided by total number of observations".

According to the question,

The price of bicycles at two stores are shown.

Bikeville:                  140 160 800 235   250 450 80 115 220 250 96  290

Discount Bicycles:   50  180  300  110   120  150 155 285 120 200 70 175 95

Average of bikeville = [tex]\frac{sum of observations}{Total number of observation}[/tex]

= 140 + 160 + 800 + 235 + 250 + 450 + 80 + 115 + 220+250+96+29

= 3086

Average of bikeville= 3086/12

= 257.167

Average of Discount of bicycles:

( 50 +180+100+110+120+150+155+285+

120+150+155+285+120+200+70+175+95)     =2720

= 2720/15

=181.33

Average of Discount of bicycles is 181.33.

Hence, using Average the prices of bicycles at two stores are compared.

Learn more about average here

https://brainly.com/question/13191507

#SPJ2

Graph the following features:
Slope = -3
Y-intercept = 5

Answers

Answer:

y=-3x+5

Step-by-step explanation:

The members of the Math Club need to elect a president and a vice president. They determine that there are a total of 272 ways that they can fill the positions with two different members. How many people are in the Math Club

Answers

Answer:

544

Step-by-step explanation:

EASY JUST MULTIPLY!!!

multiply your total of ways to fill the position, by how many members!

so...   272 x 2 = 544    hopes this helps!!

Work out ( 7x10^5) divide ( 2x10^2)

Answers

Answer:

The value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

is 3.5\times 10^{3}3.5×10

3

.

Step-by-step explanation:

Given:

\frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

To Find:

The value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

.

Solution

As given- \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

.

\frac{7\times 10^{5} }{2\times 10^{2} } = 3.5\times 10^{5-2}

2×10

2

7×10

5

=3.5×10

5−2

= 3.5\times 10^{3}=3.5×10

3

Thus, the value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

is 3.5\times 10^{3}3.5×10

3

.

Step-by-step explanation:

Hope it helps.

Is there any bias in the survey question? Explain.

What do you think would help students pay more attention in class?

SOMEONE PLEASE HELP!!!

Answers

Answer:

yes

Step-by-step explanation:

because everyone has a different method that works for them.

but then again it uses the pronoun you which means its asking for your opinion its not phrased

what would help študents pay more attention in class

so yes and no

No this is not biased. Biased mean that something is for a specific part or something like raise your hand if you like racing cars. Most boys would raise their hand.

A microscope shows you an image of an object that is 80 times the object's actual size. So the scale factor of the enlargement is 80. An insect has a body length of 9 millimeters. What is the body length of the insect under the microscope?

Answers

Answer:

80

Step-by-step explanation:

Help me pls answer pls I’m pls

Answers

the correct answer would be A

Find the sum (pre calc)

Answers

[tex]\text{It is a geometric series.}\\\\\text{First term,}~ a = 2\\\\\text{Common ratio,}~ r = \dfrac{-\tfrac 43}2 = -\dfrac 46 = -\dfrac 23\\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac{a}{1-r}\\\\\\~~~~~=\dfrac{2}{1-\left(- \dfrac 23 \right)}\\\\\\~~~~~=\dfrac{2}{1+ \dfrac 23}\\\\\\~~~~~=\dfrac{2}{\tfrac 53}\\\\\\~~~~~=\dfrac{6}{5}\\\\[/tex]

[tex]\text{The answer is}~ \dfrac 65[/tex]

Evaluate what is the answer to
3.4
+
5.14

Answers

3.4
5.14
______

8.54

If we round the answer
We get 8.5

Guess I gave you the correct answer

What is the slope of the line passing through the points (4, 5) and (0, -7)? Show all your work.

Answers

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 5 ) and (x₂, y₂ ) = (0, - 7 )

m = [tex]\frac{-7-5}{0-4}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3

rise over run

you can also use the y2-y1/x2-x1 but these numbers where small enough where graphing can help visually

whats the answer to 3x1/2

Answers

Answer:

1.5

Step-by-step explanation:

3×1/2

3×1/2=

3/1×1/2

3/2= 1.5

Janay cut a drinking straw into three pieces (shown below) to investigate a triangle postulate. He moves the straw pieces to make triangles that have been translated, rotated, and reflected from an original position. The end of one piece is always touching the end of another piece. Which postulate could Zhan be investigating using only these straw pieces and no other tools?​

Answers

Answer:

B. If three sides of one triangle are congruent to three sides of a second triangle then, the triangles are congruent.

Suppose E is an event whose probability of occurring is
2
3
. What is the probability that E will NOT occur?
A) -
2
3
B) -
3
2
C)
1
2
D)
1
3
sorry the nubers are fractions

Answers

Answer:

D. 1/3

Step-by-step explanation:

Answer:

A 1/3

Step-by-step explanation:

Event e either will take place or not. The probability that it'll take place is already given as 2/3.this means that 1/3 is the probability that it won't take place

The fabric store is having a sale the price of every item in the store has been reduced 30% which equation show the proportional relationship between the regular price of an item at the fabric store and its sale price, s?

Answers

The price is right and should be right so the percent is right where it’s at and I think that is the right answer

The diameter of the circle above is 86 cm. What is the circumference of the circle? (Use = 3.14.)

A. 135.02 cm
B. 5,805.86 cm
C. 11,611.72 cm
D. 270.04 cm

Answers

Answer:

D

Step-by-step explanation:

Circumference = pi × diameter

5) Find the x-intercept and the y-intercept of the equation: 8x - y = -24.

Answers

Answer:

First we have to turn it into slope intercept form which is y = mx  + b.

we need to isolate y. To do this, we have to subtract 8x from both sides to get

-y = -8x - 24

-25 is the y intercept and -8 is the slope.

Step-by-step explanation:

How are the two functions f(x) = 0. 7(6)x and g(x) = 0. 7(6)–x related to each other? g(x) is the reflection of f(x) over the x-axis. G(x) is the reflection of f(x) over the y-axis. G(x) is the reflection of f(x) over both axes. G(x) and f(x) will appear to be the same function.

Answers

Yes thats right !! Correct

if someone in 2022 is now 89, how old were they in 1971?

Answers

Answer:38

Step-by-step explanation:

they were born in 1933 and 1971 minus 1933 is 38.

what is the decimal equvalent of 5/6

Answers

Answer:

0.833

Step-by-step explanation:

PLESSE HELP IM FAILING MATH RN

Answers

Angle F is 24 degrees

EF is 18 units

DF is 19.7 units
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