PLEASE HELPP
64, 16, 4, 1 converging or diverging

Answers

Answer 1

Answer:

The series 64, 16, 4, 1 is convergent.

Step-by-step explanation:

Let be [tex]\{x_{1}, x_{2},...,x_{n}\}[/tex] the set of values of the series. A series is convergent if and only if:

[tex]\frac{x_{i + 1}}{x_{i}} < 1, \, \forall\,i\in \mathbb{N}[/tex] (1)

If we know that [tex]x_{1} = 64[/tex], [tex]x_{2} = 16[/tex], [tex]x_{3} = 4[/tex] and [tex]x_{4} = 1[/tex], then the convergence ratio of each pair of consecutive values are, respectively:

[tex]\frac{x_{2}}{x_{1}} = \frac{1}{4}[/tex], [tex]\frac{x_{3}}{x_{2}} = \frac{1}{4}[/tex], [tex]\frac{x_{4}}{x_{3}} = \frac{1}{4}[/tex]

Hence, the series 64, 16, 4, 1 is convergent.


Related Questions

The quantity y varies as the cube of (x+2) y=32 when x=0. Find y when x=1

Answers

Answer:

[tex]y \: \alpha \: {(x + 2)}^{3} \\ y = k {(x + 2)}^{3} \\ k \: is \: a \: constant \\ when \: x = 0 \: \: y = 32 : \\ 32 = k {(0 + 2)}^{3} \\ 32 = k(8) \\ k = 4 \\ \therefore \: y = 4 {(x + 2)}^{3} \\ when \: x \: is \: 1 : \\ y = 4 {(1 + 2)}^{3} \\ y = 4 \times 27 \\ y = 108[/tex]

PLEASE I NEED HELP kitty’s
• graph and multiple choice
Plz I need it right to pass
(Easy point)10

Answers

Answer: D

The question mentions that at month 1, there are 8 milligrams of a radioactive substance. So on the graph the first point – month 1 would be at 8.

It halves each month, so the point for month 2 would be at 4, and so on.

Hope it helps :]

Find the value of x in The parallelogram.

Answers

Answer:

122 degrees

Step-by-step explanation:

A parallelogram has 360 degrees in total

360 - (58 + 58) = 244

244/2 = 122

I hope this helped you!

Answer:

x = 122

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

x + 58 = 180 ( subtract 58 from both sides )

x = 122

URGENT PLS HELP!!!
divide 2475ml in the ratio 3:8

Answers

Answer:

765 ml & 1800 ml

Step-by-step explanation:

[tex]3x + 8x = 2475\\\\11x = 2475\\\\x=225\\\\3(225)=765\\8(225)=1800[/tex]

765 have a good day

A cardboard carrying box has the dimensions shown below. How many square inches of cardboard are needed to make the box?

Answers

Answer: D, 344

Step-by-step explanation:
5x6 = 30x2 = 60
6x10 = 60
5x10 = 50x4 = 200
4x6=24 (dont need to divide by two since theres two triangles)

24+60+60+200= 344

Answer:

Step-by-step explanation:

D- 344

Please help. I will give brainliest. thank you. math isn't my strong suit lol.

Answers

Answer:

b) 1

Step-by-step explanation:

First, bring the -3 to the right side.

x²+4x + 4

now use b²-4ac.

4²-4(1)(4)

16-16

0

If discriminant < 0 there are 2 imaginary solutions

if discriminant > 0 there are 2 real solutions

if discriminant = 0 there is 1 real solution

The discriminant here is 0 so it has one real solution



How long will it take Seb to run 4000 m at an average speed of 5 m/s?
Give your answer in minutes and seconds.

Answers

Answer:

800 seconds or 13 minutes 20 seconds

Step-by-step explanation:

.......

uh ….. uhhhh …..uhuhuhhshahahahhahajsjejjejejjejeje

a) If a + 5 = 15, then find the value of a​

Answers

Answer:

The answer is 10

Step-by-step explanation:

a + 5 =15

15-5=10

Answer:

Step-by-step explanation:

a+5=15

a=15-5

a=10

You have a $9000 bond that earns 3% interest compounded quarterly. How much is the bond word at 6 years?

Answers

Answer:

$10,667.66

Step-by-step explanation:

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

P is the principal = $9000

r is the rate = 3%

time t = 6years

n = 1/4

Substitute

A = 9000(1+0.03/(1/4))^6/4

A = 9000(1+0.03(4))^1.5

A = 9000(1+0.12)^1.5

A = 9000(1.12)^1.5

A = 9000(1.1853)

A = 10,667.67

Hence the amount after 6 years is $10,667.66

Has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are a movie theater has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are empty

Answers

Answer:

263

Step-by-step explanation:

424+339=764

1000-764=236

Which shows a quadratic function?

Answers

Answer:

OPTION B IS YOUR ANSWER.

You know its a quadratic when the second difference of each y value is same.

Here's what I mean.

Option B

First all x values differ by 1. So we're good on those.

Now for the y values

Which are

3, -1, -3, -3, -1

find the difference between the second and first fod each... Then do this a second time.

If it gives the same value for all the second differences... Then its quadratic.

-1-3 = -4

-3-(-1) = -3 + 1 = -2

-3-(-3) = -3 + 3 = 0

-1-(-3) = -1 + 3 = 2.

The values are -4, -2, 0, 2.

Now find the difference of these(2nd - 1st)

-2-(-4) = -2 + 4 = 2

0-(-2)= 0 + 2 = 2

2 - 0 = 2

Since all second differences gave 2 as their answer....

Option B is your Quadratic Function!!!

Hope this helps!

A circle with the centre (0,0) has an equation of x2 + y2 = 169
a. What is the radius?

Answers

165 is the radius because 169-169 is 0
Your answer is going to be 0

write the following ratios in simplest form.

35:100​

Answers

Answer:

7:20

Step-by-step explanation:

divide both by 5 to simplify

Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?

−12
−4
3
12

Answers

Answer:

3

X is slope but the equation isnt set up proper

12x-4y=3

-12x -12x

-4y=-12x+3

/-4 /-4

y= 3x+3/-4

Answer:

3

Step-by-step explanation:

Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST LIKE PLEASEE HELP

Answers

Answer:

y = -1/6x - 1/2

Step-by-step explanation:

y = -1/6x + b

-1 = -1/6(3) + b

-1 = -1/2 + b

-1/2 = b

Can someone make me a histogram for this set of data. If you do I’ll mark u as the Brainliest

Answers

Answer:On the vertical axis, place frequencies. Label this axis "Frequency".

On the horizontal axis, place the lower value of each interval. ...

Draw a bar extending from the lower value of each interval to the lower value of the next interval.

Step-by-step explanation:

Answer:

Attached is a file of a sample histogram compiled by Social Science Statistics with the values in the question inputted.

Step-by-step explanation:

Histograms are bar graphs that represent a set of values. The vertical y-axis indicate how many values there are in a certain interval, and the horizontal x-axis indicates those intervals, usually in intervals of 10, but this depends on the range of your data.

A histogram with the following forty (40) values:

37, 22, 28, 25, 53, 29, 37, 41, 54, 29, 23, 30, 37, 41, 27, 26, 39, 24, 36, 48, 45, 31, 27, 40, 38, 41, 39, 37, 30, 44, 42, 46, 53, 43, 44, 43, 49, 51, 38, 32

find out the area and perimeter of circle of radius 7cm

Answers

Answer:

[tex]area = \frac{\pi}{4} \times {r}^{2} \\ = \frac{\pi}{4} \times {7}^{2} \\ = \frac{\pi}{4} \times 49 \\ = 38.48451000647 \: cm \: ans......[/tex]

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*(7)^2

=3.14*49

=153.86 cm^2

perimeter of a circle(circumference)=2πr

=2*3.14*7

=14*3.14

=43.96 cm

6 ft. 12 ft. 8 ft. The area of this irregular figure is sq. ft. 16 ft​

Answers

Answer:

Step-by-step explanation:

I believe it is 26?

13 1 point
Determine if the two triangles are congruent. If they are, state how you know.
A) Not enough information
C) SSS
B) SAS
D) AAS

Answers

the SAS is a special forces Unit let's goo

Here is an expression: 3 ⋅ 2^t. Evaluate the expression when t is 4.

Answers

Answer:

48

Step-by-step explanation:

3 ⋅ 2^t

3 * 2^4

3*16

48

7. A clothing trunk is 30 inches tall, 48 inches wide,

and 24 inches deep. How many cubic feet will the

Hrunk hold?

Answers

Answer:

34,560 in^3

Step-by-step explanation:

A clothing trunk is 30 inches tall, 48 inches wide, 24 inches deep

The amount is cubic feet the trunk will hold can be calculated as follows

= 30×48×25

= 34,560 in^3

two hundred minus the number two

Answers

Answer:

200-2 = 198

Step-by-step explanation:

If you have 200 apples and you eat two you have 198 apples

An ordered pair is translated 2 units left and 6 units up. Describe the translation using translation notation.

Answers

Answer:

y = (x+2) + 6

Step-by-step explanation:

-5 times -8 is equal to
[tex] - 5 \times - 8 = [/tex]

Answers

40 is the answer. When a negative is multiplied with a negative the answer will be positive, and 8 times 5 is 40.
-5 times -8 =40
Have a nice day.

the image of O(3,2)in half turn about origin gives....?​

Answers

Answer:

O' (- 3, - 2 )

Step-by-step explanation:

Under a half turn about the origin

a point (x, y ) → (- x, - y ) , then

O (3, 2 ) → O' (- 3, - 2 )

AABC has points located at A(1, 3) B(-2, 2) C(4, 0). AABC is rotated 180° CCW about the origin then translated (x + 0, y-5). Identify the location of A A”B”C"​

Answers

Answer:

i think the new points are

A(1,-2)

B(-2,-3)

C(4,5)

Step-by-step explanation:

i plugged it in

2,6, 18, 54,162
The common ratio ""is3
Is this right?

Answers

Answer:

yes it is

Step-by-step explanation:

Min had some cards
He gave 1/2 of them to bill.
Bill gave 1/3 of those to Sam.
Sam gave Min 2 cards back and kept 6.

How many cards did Min have in the end?

Answers

Answer:

26 cards

Step-by-step explanation:

Sam:

⅓=2+6

=8

Bill:

3/3=3×8

=24

3/3=½

24+2=26

Now ,Min have 26 cards.

hope it help

4.3 Given a circle with radius 4 cm, calculate (Use n = 3,14)
The circumference, rounding off to two decimal places.

Answers

Answer:

25

as

2nr

=2×3.14×4

=25.12

=25

Simplify:9-1÷2÷27^2÷3​

Answers

First let's calculate the exponents.

[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]

Now we should multiply and divide.

[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]

Now we should add and subtract.

[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]

Convert the improper fractions into mixed numbers.

[tex]8\frac{4373}{4374}[/tex]

Answer :

[tex]8\frac{4373}{4374}[/tex]

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