T/F if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.

Answers

Answer 1

The expression  aₙ > 0 and lim n → [∞] aₙ + 1 is true.

The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given that if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.

And we need to check whether the given statement is true or not.

While we looking into the given question, we have identified the following expression,

=> lim n → [∞] aₙ + 1

Here we have also know that the value of aₙ > 0.

When we equate the given expression with zero, we have get the following expression,

=> lim n → [∞] aₙ + 1 = 0

=>  lim n → [∞] aₙ = -1

Here we have given the condition that,  aₙ >0, so

=> lim n → [∞] aₙ = 0

Therefore, the expression is zero.

To know more about Expression here.

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Related Questions

The function f(x)=(25)x
is shown on the coordinate plane. Which statement is true?

Answers

Answer: In the right end, as x increases without bound, the graph of f(x) decreases.

In the left end, as x decreases without bound, the graph of f(x) increases.

Step-by-step explanation:

According to the graph, the end behaviour of the function in the image is decreasing without bound. When we graph a function, with put an arrow to indicate when a function increases or decreases without bound, that's why in this case we can say the decreases without bound, the function extends without limit.

Therefore, as the x increases, f(x) decreases. If you carefully pay attention to the graph, x is constantly increasing in the right end, and f(x) is more and more close to the x-axis.

Light yogurt sales in the United States have been declining eight percent per year since 2016 due to younger consumers choosing to switch to Greek yogurt. In 2016, distributors had $1.2 billion in light yogurt sales. Which equation could be used to represent light yogurt sales (in billions of dollars) in the U.S. 't' years after 2016? *




a. y= 1.2(0.92)^t

b. y= 1.2 (8)^t

c y= 1.2(0.08)^t

d. y=1.2(1.08)^t

Answers

Answer is a:y=1.2(0.92)^t

PLS HELP ASAP!!!

You and your family went out to dinner for your birthday. The cost of the meal was $75. You left and 18% tip, and the tax was 7.7%. What was the total cost of your dinner?

Answers

Answer:

$ 94.28

Step-by-step explanation:

75 x 1.18 = 88.50

75 x .077 = 5.78

88.50+5.78= 94.28

mallory and five of her friends bought a box of 36 cookies. together they ate 2/3 of the cookies

Answers

Answer:

24 cookies got eaten 12 weren't eaten

Step-by-step explanation:

36 divided by 3 = 12

12 x 2 = 24 ( since they ate 2/3)

36-24=12 (12 weren't eaten)

Two new Clash of Clans games are coming out. Clash Heroes will cost $38 to download and $4 per month for membership. Clash Legends will cost only $20 to download but $6 per month for membership.
Write an equation for the cost of Clash Heroes:



Write an equation for the cost of Clash Legends:




Set your 2 equations equal to each other and solve to show when they would cost the same:


Which game is a better “deal” – show your work and label your answers!

Answers

Answer:

cl has a better deal

Step-by-step explanation:

ch=38+4m=50

cl=20+6m=50

ch=4*3 months =12+38=50

cl=6*5 months=30+20=50

Couple of answers if that's ok.

Which of the following percentages is equal.

Wich of the following percentages is equal to 1/4.

Which of the following percentages is equal to 5/21? Round your answer to one decimal place.

PLS ANSWER​

Answers

It’s a virus don’t believe it

solve for x
1/4 x^3 = -27/4​

Answers

do u still need the answer or no cuz its kinda long

if it has work to show, please include it. please help

Answers

Answer:

B) 256

Step-by-step explanation:

You are doubling the amount of boxes there are each time:

Pattern 1: 1 box

Pattern 2: 2 boxes

Pattern 3: 4 boxes

Pattern 4: 8 boxes

Pattern 5: 16 boxes

Pattern 6: 32 boxes

Pattern 7: 64 boxes.

Each box takes 4 matches to create. There are 64 boxes in total by the 7th pattern. Multiply 4 with 64:

64 x 4 = 256

B) 256 matches is your answer.

~

The average age of the seven apprentice magicians is 143 years. The average age of the seven apprentice magicians and the head wizard is 150 years. How old is the head wizard in years? Please need answer ASAP!!!!!!!!

Answers

assume each of the original three magicians is 143 years old
143 x 3 = 429
150 x 4 = 600
this means that the ages of the original three (429) plus the age of the head magician is 600
600 - 429 = 171

Answer:

it would be 200 points. Lets assume that all of the apprentice magicians are 143 years old. If so, then 143 x 7 = 1001. 1001 + 200 = 1201. 1021 ÷ 8 (the number of magicians) the answer is 150. so the age of head wizard is actually 200 years.

How could an Environmental Science and Protection Technician and an Environmental Engineering Technician be compared?

The careers are basically the same because both focus on protecting the environment.

Both focus on protecting the environment, but an Environmental Science and Protection Technician uses equipment to reduce the impact of issues while an Environmental Engineering Technician performs tests to identify issues.

Both focus on protecting the environment, but an Environmental Science and Protection Technician performs tests to identify issues while an Environmental Engineering Technician uses equipment to reduce the impact of issues.

The careers are different and belong to different career pathways within Manufacturing.

Answers

Answer:

the third one is correct. based on recent studies that i have read based on this topic. it should be right.

brainliest?

Step-by-step explanation:

3

Step-by-step explanation

edg

HELP ME PLEASE MUCH APPRECIATED!!

Answers

I’m not to sure but I think it’s B so sorry if I’m wrong!

Answer:

the answer is A

Step-by-step explanation:

Faithi has $ 1.10 in his printing account. Each sheet of paper he use reduces his printing account balance by $0.25. Fathi wants to print out a pdf document that is 47 page long. To save paper, he decide to print on both side of each sheet and to print two pages on each side of the sheet

Answers

Answer:

-$1.9

Step-by-step explanation:

We have to fill the chart but i already did that i just need help with the questions

(B) find the mean of the data set

(C) Find the median

(D) find the mode of trje data set

(E) find the range of the data set

Answers

C hope that helped have a good one love the game

identify the trinomial that is a perfect square

Answers

Answer:

b

Step-by-step explanation:

Imagine the center of the Seattle Great Wheel is located at (0, 0) on a coordinate grid and the radius lies on the x-axis. Write an equation of a circle for the Seattle Great Wheel and then sketch an image of your equation on the graph provided or insert your own graph.
Center is 0,0 and diameter is 175

Answers

Answer:(x-0)^2 + (y-0)^2=30^2

Step-by-step explanation:

The equation of the circle is x^2 +y^2 = 7656.25

How to determine the equation of the circle?

The given parameters are:

Center = (0,0)

Diameter = 175

The equation of a circle is represented as:

(x - a)^2 +(y - b)^2 = r^2

Where

Center = (a,b) = (0,0)

r = radius = 175/2

So, we have:

(x - 0)^2 +(y - 0)^2 = (175/2)^2

Evaluate

x^2 +y^2 = 7656.25

Hence, the equation of the circle is x^2 +y^2 = 7656.25

Read more about circle equations at:

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Greg bought a jacket for $35.23, a flag for $10.75, and a baseball cap for $17.25. He paid $50 and
the rest he borrowed from his friend. If Greg got $6.77 in change from the cashier, how much did he
borrow from his friend to pay for all the items?

Answers

Answer:

His friend gave Greg a 20$ bill.

Step-by-step explanation:

35.23+10.75+17.25=63.23

63.23-50= 13.23

13.23+6.77= 20

Answer:

He borrowed $6.46

Step-by-step explanation:

Add the totals up together. 35.23 + 10.75 + 17.25 to get 63.23

Subtract 50 from 63.23 (63.23 - 50.00) to get 13.23.

Subtract 6.77 from 13.23 (13.23 - 6.77) to get 6.46.

He borrowed $6.46 from his friend!

Hope this helps! Pls make brainliest

An investor puts $4500 into a life insurance policy that pays 6% simple annual interest if no additional investment is made into the policy how much accumulated interest should the investor expect at the end of 15 years?

Answers

Answer:

270

Step-by-step explanation:

All you need to do is find what 6%  of 4,500 is.

Your answer is 270
Hope this helped :)
Brainliest plzz

Help me on this I have no idea how to do this

Answers

Answer:

i also don't have the idea

Find x.
A.2.14

B.10

C.22.8

D.35

Answers

A is your answer just multiply it by 14 then add it by 5 it looks as if all sides are equal.

Drag each label to the correct location on the image.

Here is an addition sentence:

13 + (12 + 3) = 28

Drag the numbers and the parentheses to create an equivalent addition sentence that illustrates the associative property of addition.

these are the stuff
( ) 13 12 3 28
Blank + Blank+Blank=

Answers

13 + (15) = 28


Because you always add the numbers in the parenthesis so 12 + 3 = 15 and 13 + 15 = 28

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Answers

Answer:

[tex]D.\ (3,\frac{1}{8})[/tex]

Step-by-step explanation:

Given

[tex]y = (\frac{1}{2})^x[/tex]

Required

Points that lies on the above graph

From the given options, only option D lies on the point and the proof is as follows:

[tex]D.\ (3,\frac{1}{8})[/tex]

This means that:

[tex]x = 3;\ y = \frac{1}{8}[/tex]

Substitute [tex]x = 3;\ y = \frac{1}{8}[/tex] in [tex]y = (\frac{1}{2})^x[/tex]

[tex]\frac{1}{8} = (\frac{1}{2})^3[/tex]

[tex]\frac{1}{8} = \frac{1^3}{2^3}[/tex]

[tex]\frac{1}{8} = \frac{1}{8}[/tex]

See that the values at the right and left hand side of the equation are the same.

This means that, [tex]D.\ (3,\frac{1}{8})[/tex] lies on [tex]y = (\frac{1}{2})^x[/tex]

hi anyone? please help!!

Answers

Answer:

8x<80

Step-by-step explanation:

The teams are teams of 8, so 8x is how many people on a team (8) times total number of teams (x). You want it to be less than 80, because, as it said, fewer than 80 people signed up.

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

A med - A small = (36 - 16)pi inch^2

= 20 pi inch^2

Step-by-step explanation:

Area of medium pizza = 6^2 pi

Area of small pizza = 4^2 pi

A med = 36 pi inch^2

A small = 16 pi inch^2

A med - A small = (36 - 16)pi inch^2

Edited :sorry i thought that 8 and 12 where radiuses

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
ALSO 50 POINTS!

Answers

Answer:

h = 12 m

[tex] v_{cylinder}= 235.5 \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of cylinder (r) = 5/2 = 2.5 m

[tex] {h}^{2} = {13}^{2} - {5}^{2} \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25} \\ h = \sqrt{144} \\ h = 12 \\ \\ v_{cylinder} = \pi {r}^{2} h \\ v_{cylinder}= 3.14(2.5) ^{2} (12) \\ v_{cylinder}= 235.5 \: {m}^{3} [/tex]

jeremy bought 5 pencils for w dollars. each pen cost 35¢ more than a pencil

Answers

248 I think sorry I don’t know really

please help me with the question​

Answers

2/3x -1/5 > 1
+1/5 > 1 + 1/5 add 1/5 to the both sides
2/3x > 6/5
(3/2) * (2/3x) > (3/2)*(6/5) multiply both sides by 3/2
X > 9/5

what is the sum of the arithmetic sequence 8,15,22..., if there are 26 terms?

o 2,483
o 2,485
o 3,486
o 3,489

Answers

Answer:

2,483

Step-by-step explanation:

8+15+22+29+36+43+50+57+64+71+78+85+92+99+106+113+120+127+134+141+148+155+162+169+176+183=2483

Answer:2483

Step-by-step explanation:

took the test

A line that includes the point (2,7) has a slope of

8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

y - 7 = -8(x-2)

Step-by-step explanation:

The point slope form is: y-y1=m(x-x1)

From the information that was given, we know our two points: (2,7)

From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)

Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.

The answer would either be: y - 7 = -8(x-2)    [if you wrote down -8 as the slope]

OR

The answer would be: y - 7 = 8(x-2)    [if you wrote down 8 as the slope]

What is the length of AD??

Answers

Answer:

d

Step-by-step explanation:

hiiiiiiii

it’s going to be D for the answer of itttt

Solve the following quadratic equation for all values of x in simplest form.
5x(x^2-4)+10=10
first person to answer right get branliest
people in com.ments who right get a tha.nks and fo.llow

Answers

Answer:

[tex]x=0,\:x=-2,\:x=2[/tex]

Step-by-step explanation:

Do you want me to explain it?

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