Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) an

Answers

Answer 1

The sequence converges to a limit of 1/2.

We have,

Let's simplify the nth term of the sequence:

an = (n^2 + 3n) / (2n^2 + 5)

Dividing both the numerator and denominator by n^2, we get:

an = (1 + 3/n) / (2 + 5/n^2)

As n approaches infinity, the terms 3/n and 5/n^2 both tend towards zero.

Therefore, we have:

an = (1 + 0) / (2 + 0) = 1 / 2

The nth term of the sequence simplifies to a constant value of 1/2 as n approaches infinity.

Since the nth term converges to a specific value (1/2), the sequence itself is convergent.

The limit of the sequence is 1/2.

Thus,

The sequence converges to a limit of 1/2.

Learn more about sequence convergence here:

https://brainly.com/question/29394831

#SPJ4

The complete question:

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the sequence diverges, enter DIVERGES.)

Consider the sequence defined by the nth term an = (n^2 + 3n) / (2n^2 + 5).


Related Questions

A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)

Answers

Answer:

Step-by-step explanation:

Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]

[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]

where:

n = 26

k = 5

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]

[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]

Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen

Is ABC= A DEF? If so, name the congruence postulate that applies. ​

Answers

Answer:

Congruent ASA

Step-by-step explanation:

We are given 2 angles and 1 side length. In order, first there is the angle, then side length, then another angle. The ASA postulate says that the triangle will be congruent.

3cm
3cm
8cm
13cm
in the diagram above, the curved part is a Semi-
Circle. Find the area of the shaded portion
and correct your answer to 3 significant
figure. ​

Answers

Answer:

can u attach the diagram

Step-by-step explanation:

PLEASE HELP :’( last one

Answers

Answer:

A.3

Step-by-step explanation:

If 30% of the pupils in a school are boys, what percentage of the pupils are girls?

Answers

Answer:

70%

Step-by-step explanation:

Yeah that’s common sense it’s 70%

One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?

Answers

Answer:

1.2in

Step-by-step explanation:

Answer:

(1) 1.2 inches

HELP ME PLEASE IM ALMOST TO 100

Answers

Answer:

= 3/4

Step-by-step explanation:

Find 2 points on the graph

(2,3) and (6,6)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 6-3)/(6-2)

   = 3/4

Ronald and Tim both did there laundry today Ronald does laundry laundry every 6 days and Tim does laundry every 9 days how many days will it be until Ronald and Tim both do there laundry on the same day again

Answers

Answer: 18 brainiest plz

Step-by-step explanation:

First, it is the principle of LCM (Least Common Factor) so for 6 we go 6,12,18  

Then 9,18 so 18 days

Answer:

18

Step-by-step explanation:

Quickkkk!!!!!!!! Help

Answers

Answer:

2143

Step-by-step explanation:

Three students attempt to define what a line segment is.​

Answers

Answer:

Duru's definition: A line segment is a line connecting two endpoints. Oliver's definition: A line segment is when three points are all on the same line.

HELP! Will be giving branliest!!!!!!

Answers

A is the right anwer to your Question because of the Hours and weeks

I’m like pretty sure it’s B. h = w/e because it seems like you’re to find Toms hours worked which can be calculated by the hourly wages over what he earns.

A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.3. He thinks the mean is 5.5 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 95% level of confidence? Round your answer up to the next integer.

Answers

Answer:

649

Step-by-step explanation:

Given that

Mean number of dresses is 5.5

Standard deviation of the sample, S.D is 1.3

Margin of error, M.E is 0.1

Level of confidence is 95% or 0.95

The formula for margin of error, M.E is

Z * (S.D/√n) , where

Z = Value for level of confidence which is 1.96

Proceeding further, we have

0.1 = 1.96 * (1.3/√n)

0.1 = 2.548 / √n, making √n subject of formula, we have

√n = 2.548 / 0.1

√n = 25.48, squaring both sides

n = 25.48²

n = 649.23

Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649

Can someone please help, ty!! (Will mark brainliest)

Answers

[tex]\large\underline{\bf\red{Solution:-}}[/tex]

Given two points are :-

( -1 , 3)( 0 , -5)

So , we know Two point form into equⁿ using a formula , which is

[tex]\boxed{\purple{\bf{\dag y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}}[/tex]

So, on substituting respective values ,

=> y - 3 = (-5-3)/0-(-1) × ( x - 3)

=> y - 3 = -8/1 ( x - 3)

=> y - 3 = -8x +24

=> 8x + y -27 = 0

find the value of x
The answer is 150.
I need to show my work.

THANKSSSS

Answers

Answer:

x = 150

Step-by-step explanation:

We know a circle is 360°, so the angles must add up to 60°.

Step 1: Set up equation

x - 120 + x - 120 = 60

Step 2: Solve for x

Combine like terms: 2x - 240 = 60Add 240 on both sides: 2x = 300Divide both sides by 2: x = 150

Step 3: Check

Plug in x to verify it is correct.

150 - 120 = 30°

150 - 120 = 30°

30° + 30° = 60°

60° + 300° = 360°

- 8 3/4 devided by 2 1/6​

Answers

Answer:

-105/26 or -4 1/26−4.03846153846 …

Step-by-step explanation:

Depending on what answer

you need, the decimal is −4.03846153846,

the improper fraction is -105/26 and the mixed number is -4 1/26

Hope this helps! <3

need quick aaaaaaaaaaaaa

Answers


5.0 x 10^4 < answer

Answer:

5.0 x 10^4

did the thing this is right

Turn - Find the value of e
(4w - 6)
+
Find the value of each variable

Answers

There is 180 degrees in a triangle, so w+w+(4w-6) = 180
6w-6=180
6w=186
w=186/6
w=31

Question

5°F - 32)

The function to convert Fahrenheit to Celsius is °C = (°F) =

The inverse function will

9

convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how

determining this inverse is different than determining the previous inverses.

The inverse function is °F = -(°C)=

The F and °C (select) V need to be switched like the x and y did in the previous functions.

(select) degree measures, and because of the real-world relationship, switching them

(select) ✓ make sense.

Answers

Answer:

[tex]F = \frac{9C + 32}{5}[/tex]

Step-by-step explanation:

Given

[tex]C = \frac{(5F - 32)}{9}[/tex]

Required

Determine the inverse function

[tex]C = \frac{(5F - 32)}{9}[/tex]

Make F the subject of formula:

Multiply through by 9

[tex]9C = 5F - 32[/tex]

Add 32 to both sides

[tex]9C + 32= 5F[/tex]

Divide through by 5

[tex]\frac{9C + 32}{5}= F[/tex]

[tex]F = \frac{9C + 32}{5}[/tex]

(4.3 x 10^-3)(2 x 10^-2) in standard form

Answers

Answer:

8.6•10^-5 or 0.000086

Which line of poetry is marked correctly with weak and strong beats?

Answers

Answer:

2nd answer

Step-by-step explanation:

It has a lot of strong beats and the rhythm sounds better than A and C.

Kelsey has $550 is her bank account and withdraws $25 per week from her bank account. Kris has $10 in his bank account and each week he deposits $15 of his allowance and $20 earned from dog walking into his bank account. After how many weeks do they have the same amount of money?

Answers

Answer:

13 weeks they both have $ 225

Step-by-step explanation:

If your gross annual income is $80,400 and your employer will match 50% of your retirement
contributions to your 401k up to your maximum contributions of 6% of your salary, what is
the maximum dollar amount that together you and your employer will contribute annually?

Answers

Answer:

Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!

Step-by-step explanation:

A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows:

Day Average (LB) Day Average (LB)
1 16.3 13 16.3
2 15.9 14 15.9
3 15.8 15 16.3
4 15.5 16 16.2
5 16.3 17 16.1
6 16.2 18 15.9
7 16.0 19 16.2
8 16.1 20 15.9
9 15.9 21 15.9
10 16.2 22 16.0
11 15.9 23 15.5
12 15.9 24 15.8

Required:
a. Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?
b. If three standard deviations ate used in the chart, how do these values change? Why?

Answers

Answer and explanation:

Please find attached answer and explanation

if there are 7 fish and 3 drown how many are left?​

Answers

Answer:

7

Step-by-step explanation:

there are 7 left because fish can't drown

Fish can’t drown lol if this was a joke or test.

If cost of 3 kg of sugar is Rs 240. What is rate of cost of sugar​

Answers

Rs80 for each 1kg sugar

Write a positive or negative integer that represents the situation.

An elevator goes down 8 floors.

Answers

Negative because it is going down

v (t) = 32,000 (0.84)
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary

Answers

Answer:

c

Step-by-step explanation:

c because

QUICK plzzzz. Don’t worry about the other questions just plz answer 17 for me :)

Answers

Answer:

a) Vf = at + Vi

b) 10 m/s

Step-by-step explanation:

Part A:

first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi

now bring the Vi over to the other side and flip the sign: at + Vi = Vf

this can be rewritten as Vf = at + Vi

Part B:

substitute the numbers: Vf = (2)(3) + 4

solve to get: Vf = 10 m/s

13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y

Answers

Answer:

2x-10 = 65-x

Step-by-step explanation:

just add up both alternate internal angles as they are both equal

so, the equation is: 2x-10 = 65-x

Answer:

The right equation will be 2x - 10 = 65 - x (you were wrong lol)

Step-by-step explanation:

We have: 2x - 10 = 65 - x

=> 2x - 10 + x = 65

=> 3x = 65 + 10 = 75

=> x = 75/3 = 25

P/S: After some little chats with the others, this might be wrong :(

• Number Sense Write an addition
sentence and a multiplication
sentence to solve this problem.
Jessie bought 4 packages of colorful
stones to put in the fish bowl. There
are 6 stones in each package. How
many stones did Jessie buy?

Answers

Answer:

addition sentence is 6+6+6+6=24

multiplication sentence is 6×4=24

Step-by-step explanation:

hope this helps

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