Please help!


Find the interval of convergence for:

Please note: The 2 in the picture must actually also be an exponent, so n^2^n.

Please Help!Find The Interval Of Convergence For: Please Note: The 2 In The Picture Must Actually Also

Answers

Answer 1

Answer:

-∞ < x < ∞

Step-by-step explanation:

∑ xⁿ / n^(2ⁿ)

Apply ratio test:

lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] / [xⁿ / n^(2ⁿ)] |

lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] × [n^(2ⁿ) / xⁿ] |

lim(n→∞) | x n^(2ⁿ) / (n+1)^(2ⁿ⁺¹) |

0

The series converges for all values of x.


Related Questions

PLEASE HELP I NEED THIS image below

Answers

Answer:

64

Step-by-step explanation:

You need to do 4*4*4 to get your answer.

Hope this helps.

Answer:

64

Step-by-step explanation:

Because 4×4 is 16 and 16 ×4 is 64

WILL GIVE BRAINLEST!! We roll a fair 6-sided die 5 times. What is the probability that we get an odd number in exactly 4 of the 5 rolls?

Answers

The answer is 6.25% because you take 50 to the fourth

A.359.5
B.2,178
C.18.0

Answers

Answer:

C, or 18.0

Step-by-step explanation:

The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.

4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)

Answers

Answer:

x = -223/11 = -20.273

Step-by-step explanation:

Step  1  : Simplify:  11/5

Step 2: Simplify 33/5

Step  3  :

Adding fractions which have a common denominator

Step  4: Simplify: 1/2

Step  5  :  see below

Step  6  :  see below

Pulling out like terms/factors

Step  7 : Simplify: 51/2

Step 8:  Simplify: 22/5

Step 10: Simplify: 43/10

Step  9  :

Calculating the Least Common Multiple

Step  11  :

Adding fractions which have a common denominator

Done.

Hope this helps.

A brand of uncooked spaghetti comes in a box that is a rectangular prism with the length of 8 inches width of 2 inches and the height of 1 1/2 inches what is the surface area

Answers

Answer:

176

Step-by-step explanation:

A number is randomly choose between one and 99. What is the probability that the number is not in multiple of nine

Answers

Answer:

8/9

Step-by-step explanation:

The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9

Suppose the diameter of a circle is 6 units. What is its circumference?

Answers

If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.

Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units

4x - 20 = -2(-3x + 22)

Answers

Answer: x = 12

Step-by-step explanation:

[tex]4x-20=-2(-3x+22)[/tex]

Begin by distributing -2

[tex]4x-20=6x-44[/tex]

Subtract 6x

[tex]4x-6x-20=-44[/tex]

Add 20

[tex]4x-6x=-44+20[/tex]

Combine like terms;

[tex]-2x=-24[/tex]

Divide by -2

[tex]x=\frac{-24}{-2}\\ x=12[/tex]

Un parallelepipedo rettangolo ha una dimensione di base di 15 cm e l'altra è i 35 della prima. L'area totale misura 750 cm2. Di L'area laterale; L'altezza del parallelepipedo; Il volume. calcola

Answers

Answer:

1. Suprafața laterală este de 480 cm²

2. Înălțimea paralelipipedului este de 4,8 cm

3. Volumul paralelepipedului este de 648 cm³

Step-by-step explanation:

Un paralelipiped dreptunghiular are dimensiunea bazei de 15 cm, iar celălalt este 35 din primul. Suprafața totală măsoară 750 cm2. Din zona laterală; Înălțimea paralelipipedului; Volumul. Calcol

Aici avem

Dimensiunile bazei sunt;

a = 15 cm

b = 3/5 × 15 = 9 cm

c = Obligatoriu

De asemenea suprafața totală = 750 cm²

∴ deoarece suprafața totală = 2 · a · b + 2 · b · c + 2 · a · c

2 × 15 × 9 + 2 × 35 × c + 2 × 15 × c = 750

270 + 70 · c + 30 · c = 750

100 · c = 480

c = 4,8 cm

Suprafața laterală reprezintă suprafața totală mai puțin zona de sus și de jos

Prin urmare;

1. Suprafața laterală = 750 - 2 × 15 × 9 = 480 cm²

2. Înălțimea paralelipipedului = c = 4,8 cm

3. Volumul paralelipipedului = aria bazei × înălțimea

∴ Volumul paralelipipedului = 15 × 9 × 4,8 = 648 cm³.

Pleaaase help me out here im being timed!!
Really appreciate it if u did thank u.

Answers

Answer:

use this example, its all i could find

Step-by-step explanation:

Answer:

V=\frac{lwh}{3}

l=length

w=width

h=height

volume of pyramid formula

Step-by-step explanation:

please help me i need the last word for this crossword puzzle!!! if i did something wrong let me know...

Answers

Answer:

Your other answers all look good - I think the word in the blank is producer, which means an organism that makes its own food. Green plants do so through photosynthesis.

Answer:

producer

Step-by-step explanation:

Because it makes sense

who is the best rapper

Answers

Answer:

Eminem.

Rakim.

Nas.

Andre 3000.

Lauryn Hill.

Ghostface Killah.

Kendrick Lamar.

Lil Wayne

Step-by-step explanation:

Answer:

Logic

Step-by-step explanation:

A bag contains 3 red balls and two blue balls. A ball is taken out random from the bag and then put back. A second ball has been taken out of the bag. What is the probability that: (a) both balls are red, (c)b both balls are the same color, (c) at least one of the balls is red. Answer

Answers

Answer:

a . 9/25

b. 13/25

c. 3/5

Step-by-step explanation:

Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls

P(R) = number of red/total number of balls = 3/5

P(B) = number of blue/total number of balls = 2/5

Since the experiment is with replacement, whatever ball picked would be returned

a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25

b. Probability of both balls being same color;

That is : probability of both balls being red or both being blue

Mathematically that would be;

P(R) * P(R) or P(B) * P(B)

whenever we have or in probability, what we do is to add ;

= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25

C. at least one of the balls is red

what this means is that both are red or one of the two is red.

Mathematically;

P(R) * P(R) or P(B) * P(R)

= (3/5 * 3/5) + (3/5 * 2/5)

= 9/25 + 6/25 = 15/25 = 3/5

If (1)=3 and f(n)=f(n-1)-1 then find the value of f(6)

Answers

Answer:

f(1) = 3

f(n) = f(n-1) - 1

Otherwise,

f(n) = f(1) - (n-1)

=> f(6) = 3 - 5 = -2

Hope this helps!

:)

Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.

Answers

Answer: 49.5 and -0.5

Step-by-step explanation:

a  + b =49

a -  b = 0.5

a= 49.5

b= -0.5

The two numbers are approximately 24.25 and 24.75.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

Let's call the two numbers x and y.

According to the problem, we have two equations:

x + y = 49 (since their sum is 49)

x - y = 1/2 (since their difference is 1/2)

We can solve this system of equations using the method of substitution.

First, we can rearrange the second equation to solve for one of the variables in terms of the other:

x - y = 1/2

x = y + 1/2

Now we can substitute this expression for x into the first equation:

(y + 1/2) + y = 49

2y + 1/2 = 49

2y = 48.5

y = 24.25

Now we can use this value of y to solve for x:

x = y + 1/2 = 24.25 + 1/2 = 24.75

Therefore, the two numbers are approximately 24.25 and 24.75.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ3

number 19 very much need the answer please

Answers

Answer:

D not possible.........

−3x+7y=5x+2yminus, 3, x, plus, 7, y, equals, 5, x, plus, 2, y Complete the missing value in the solution to the equation. (−5,(-5,(−5,left parenthesis, minus, 5, comma )))right parenthesis

Answers

Answer:

[tex](-5,-8).[/tex]

Step-by-step explanation:

Given the equation

[tex]-3x+7y=5x+2y[/tex]

We need to find the missing value of the coordinate; (-5, __)

First, we collect like terms

[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]

When x=-5

[tex]-8*-5=-5y\\\\40=-5y[/tex]

Dividing both sides by -5

[tex]y=-8[/tex]

The missing value of the coordinate (-5,y) is -8.

Thus, the complete solution to the equation is [tex](-5,-8).[/tex]

The Waves swim team has a ratio of 14 boy: 12 girls. If there are 39 athletes,How many girls are there?


If 7 more boys join the Waves team, how many girls should be added to the team to maintain the same ratio of boys and girls.

Answers

Answer:

1. 18 girls

2. 5 girls will be added to maintain the same ratio of boys and girls

Step-by-step explanation:

1. Boys : Girls = 14 : 12

14 + 12 = 26, 39/26 = 1.5

Boys: 14 x 1.5 = 21

Girls: 12 x 1.5 = 18

21 + 18 = 39 athletes, there are 18 girls on the 39 athletes.

2. Boys : Girls = 14 : 12

14 : 12

7   : ?

14 - 7 = 12 - ?

7 = 12 - ?

12 - 7

= 5

If there is any wrong, Please correct me or reply to me!

Which of the following fractions converts to a repeating decimal? A 3/8 B 2/9 C 3/10 D 5/16

Answers

The answer would be B. 2/9

Just divide the numerator by the denominator.

A. 3/8= 0.375
B. 2/9= 0.222222222222222
C. 3/10=0.3
D. 5/16= 0.3125

Answer:

B. 2/9

Step-by-step explanation:

3/8 = 0..375

2/9 = 0.2222222222

3/10 = 0.3

5/16 = 0.3125

the repeating decimal among these is 2/9 = 0.22222222222222222, because it has a repeated decimal numbers

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g. According to the empirical rule, 68% of all newborn babies in the United States weigh between and .

Answers

Answer:

3000 and 4000

95% of all newborn babies in the United States weigh between *2500g and 4500g*

99.7% of all newborn babies in the United States weigh between *2,000g and 5,000g*

Step-by-step explanation:

Using the Empirical Rule, it is found that 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

What is the Empirical Rule?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, the mean is of 3,500 g with a standard deviation of 500 g, hence:

3500 - 500 = 3,000 g.

3500 + 500 = 4,000 g.

Hence, 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

What is the area of triangle DEF? Triangle D E F has a base of 42 centimeters and a height of 28 centimeters. The other sides have lengths of 35 centimeters.

Answers

Answer:

The area of triangle DEF is 588 cm²

Step-by-step explanation:

Given;

triangle  DEF with base, b = 42 centimeters

triangle  DEF with height, h = 28 centimeters

triangle  DEF other side length, L = 35 centimeters

Area of a triangle is half of the product of the triangle base and height.

Represented in formula as;

A = ¹/₂bh

where;

b is the base of the triangle

h is the height of the triangle

A = ¹/₂ x 42 x 28

A = 588 cm²

Therefore the area of triangle DEF is 588 cm²

Answer:

588

Step-by-step explanation:

Write the equation of a line that passes through the origin and is perpendicular to the line whose equation is 12x - 4y = 24.

Answers

Answer:

y=-1/3x

Step-by-step explanation:

Let's convert this to slope intercept form:

12x-4y=24

-4y=-12x+24

y=3x-6

Therefore, the slope of this line is 3, so the perpendicular line to this would have slope -1/3. Therefore, the slope of the line would be y=-1/3x. Hope this helps!

Identify domain and range of each function.y=3•5^x

Answers

Answer:

Domain- {IR} all real numbers or {infinity,infinity}

Range-{0,infinity}

Step-by-step explanation:

plug into calculator

PLEASE HELP THIS IS DUE!!!!!

Answers

Answer:

what are we supposed to answer

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

there is nothing there

2/3=(1/2)/x solve for x

Answers

Answer:

x=3/4

Step-by-step explanation:

Look at the picture so you understand how To solve it.

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

the right answer is : A

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

im smort

Find the area of the shaded regions:
The pink is the shaded region.

Answers

40π

You dont need paper hw since we're in quarantine

Answer:40

Step-by-step explanation:

Please help meeeee
What are the key aspects of the graph of f(x) = x^2-b^2
where b is a real number?

Answers

Answer:

the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.

Step-by-step explanation:

Drag each capacity to match it to an equivalent capacity.
8L
80 mL
0.08 L
800 mL
Capacity
Equivalent Capacity
0.08 L
8,000 mL
0.8 L
80 mL

Answers

1 L= 1,000 mL
8L= 8,000 mL
80 mL= 0.08 L
0.08 L= 80 m L
800 mL = 0.8 L

A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.

In the system of equations, x represents the, _____and y represents the_____.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.

The total cost of 1 car and 1 SUV is $_____.

The total earnings for hour 3 are $______.

Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?

4x + 2y = 84
3x + 5y = 126

Answers

Answer:

1. cost of each car

2. cost of each SUV

3. (12,18)

4. $30

5. $132

Step-by-step explanation:

In the system of equations,x represents the cost of each car and y represents the cost of each SUV

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)

The total cost of 1 car and 1 SUV is $30

The total earnings for hour 3 are $132

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