give example of a monotone subsequence of the sequence Sn=cos(n.π/3)

Answers

Answer 1

A monotone subsequence is a subsequence that is either increasing or decreasing, which we define as follows:

A sequence (S) is increasing if [tex]S_n \geq S_m[/tex] whenever n>m.A sequence (S) is decreasing if [tex]S_n \leq S_m[/tex] whenever n>m.

Here, we can create a subsequence by taking every sixth term:

• When n = 6, [tex]S_n = \cos(6\pi /3) = \cos(2\pi) = 1[/tex]

• When n = 12, [tex]S_n = \cos(12 \pi /3) = \cos(4\pi) = 1[/tex],

and so on, and every such element will have a value of 1. This is a monotone subsequence.


Related Questions

dijkstra's algorithm

Answers

Step-by-step explanation:

Answer my question....

Bdjsdjrrnnrnnddddsnjjejjeje

Trevor drove 202 miles in 4 hours and Maggie drove 330 miks in 6 hours. Which friend drove faster​

Answers

Answer:

well trevor drove in a less time but maggie went faster so if you want who was  the fastest it was trevor but and you want who went the farthest it was maggie

Step-by-step explanation:

hope this helps

Answer:

Trevor drove faster.

Explanation:

Since Maggie's miles did not double the amount with the addition of 2 more hours, I would assume her speed was slower.

Can some please help me with this would you rather problem.

Problem: Would you Rather buy one get a second 25% off or buy two get third 50% off.

Please explain how you solved this in R.A.C.E

Answers

Answer:

I would rather buy one and get the second 25%off

Step-by-step explanation:

1) There are 56 people at a party. Each table has 8 seats. How many tables are
needed so all of the people have a seat?
56 +
= 8
6
54

Answers

Answer:

56 / 8

Step-by-step explanation:

Suppose a binomial trial has a probability of success of 0.3, and 500 trials are performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.
O A. 10.25
OB. 8.94
O c. 6.71
D. 10.95

Answers

The standard deviation of the possible outcomes is to be considered as the 10.25.

Calculation of the standard deviation:

Since there is a binomial trial has a probability of success of 0.3, and 500 trials are performed.

So here

q = 1 - P

= 1 - 0.3

=0.7

Now the standard devation be like

[tex]= \sqrt{500\times 0.3 \times 0.7}[/tex]

=  10.25

hence, The standard deviation of the possible outcomes is to be considered as the 10.25.

Learn more about standard deviation here: https://brainly.com/question/15699543

What is the slope of the line? Input the ratio and choose
the correct units. Then click done.

Answers

SLOPE FORMULA: m= y2-y1/x2-x1
STEP BY STEP:
m=180-80/7-3
m=100/4
m=25
(idk if this is exactly the answered your question, i jsut solved the slope of the line with the given points)

Answer:

100/4

Step-by-step explanation:

Just took the test on iready it was right.

Can someone please help me I tryed already

Answers

Answer:look at the picture below

Step-by-step explanation:

Jeremy can do 22 push ups in 4 days. At this rate how many push-ups can he do in 6 days

Answers

Answer:

I think it's

Step-by-step explanation:

22=4

c=6

132,=4c

c=132/4

c=33

Answer:132 push ups

Step-by-step explanation:

Solve using BODMAS

1 half of [ 5 + 4 – {3 + 5 – (1 + 3)} ]

Answers

Answer:

Result: 3/2 = 1 1/2 = 1.5 Result in words: three halves (or one and one half) Solve problems with two, three, or more fractions and numbers in one expression. The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5) BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

☪️ Meaning of BODMAS:-

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

☪️ Work:-

1 ÷ 2 × ((5 + 4 × 0) + 5 × 0)

0.5 × ((5 + 4 × 0) + 5 × 0)

0.5 × ((5 + 0) + 5 × 0)

0.5 × (5 + 5 × 0)

0.5 × (5 + 0)

0.5 × 5

2.5

Sorry if I’m not correct.

Hope this helps!

(*^ω^*)

I NEED IT EXTREMELY FAST!!!!

Fill in the blank with the correct response.

What is the scale factor?

Answers

Answer:

x = 11 | Scale factor = 2

Step-by-step explanation:

As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.

Hope this helps,

If you like my answer please give brainliest

Happy Holidays to everyone!

Help me pls I will rate u five stars and like it if it is correct and I will try to mark u brainiest

Answers

first line: 8
second line: 64
hope this helped

Answer:

1. 8 x 8 ÷ 2

2. 64 ÷ 2 = 32

Step-by-step explanation:

(7+1) becomes 8 and 8 x 8 becomes 64

64 ÷ 2 = 32

The American College Testing Corporation has a test called the ACT that is used for admissions to college. The American College Testing Corporation reports that students who attend 2-year colleges in the Midwest United States have an average ACT score of 21.5, with a standard deviation of 3.17. The president of the Minneapolis Community College wonders if students who attend her college have a ACT scores that are significantly different from the ACT scores reported by the American College Teaching Corporation. The president would perform a ___________ test, and use a z-critical value of _____.

Answers

Answer:

Two tailed test

+/-1.96

Step-by-step explanation:

Following this claim, the president would have to perform a two tailed test. Since he wants to know if the Act scores of students in her school are significantly different from what is reported by the ACT corporation.

At a confidence level that is 95%, the level of significance is = 0.05. then the z critical value to be used would be +/- 1.96

Can anyone help with this it is for Geometry

Answers

Answer:

three angle one slide

Step-by-step explanation:

How do you write 0.0704 in scientific notation?​

Answers

Answer:

well for me I think it's

Step-by-step explanation:

7.04×10^-2

i think the correct answer is the one above mine. i got the same thing

Which point is on both lines?
С
B
D
point C
point A
point D
point B

Answers

Answer:

point d that is it because I knwo

Answer:

Point D

Step-by-step explanation:

Point D is on both lines because that is where the lines intersect.

Answer asap please it will be much appreciated

Answers

Answer:

9 cm.

Step-by-step explanation:

First, let's form an equation. We'll represent the final depth of snow on Cherry Street with the variable d. We'll represent the hours with the variable h.

10 - 1/3h = d

Now, you already know what h equals so you can replace h with 3 for 3 hours.

10 - 1/3(3) = d

1/3 * 3 = 1.

10 - 1 = d

10 - 1 = 9

Now, we know what d equals.

10 - 1/3(3) = 9.

Do NOT forget the unit of measurement in your final answer, cm. In the photo, it looks as though it has already been provided.

The final answer is 9 cm.

Unit Rate ez pls help

Answers

Answer:

it can print 24 pages in 15 minutes which means it can print 72 pages in an 3/4 of an hour. 96 in 1 hour, and

Step-by-step explanation:

Please help me thank you I appreciate it

Answers

Answer:

73

Step-by-step explanation:

since it's a right angle it equals 90° and you already know there 17°. so you just subtract 90-17

if it costs $55 for 20 people to go rent a movie at red box how much does it cost per person?​

Answers

55/20 = 2.75
It costs $2.75 per person

Mal runs around a track at a constant speed of 750 meters in 30 minutes how many meters per minute is that?

Answers

Answer:

25 meters per second

Step-by-step explanation:

Divide to find m/s.

750 / 30 = 25

Check in necessary.

25 * 30 = 750

Answer:

25 per sec

Step-by-step explanation:

PLease help me i don't get it

Answers

Answer:

150 and -150

Step-by-step explanation:

For question number 2...

You started off with an energy level of 250 and something was added to make it 400.

To figure out what this "something" was, you simply subtract the numbers.

400 - 250 = 150

For question number 3...

You start off with 325 and end with 175. Here, the outcome is smaller or less than what you started with. So, you know that you took away a certain amount of energy. To figure that out, you again subtract.

325 - 175 = 150

To make the equation make sense, you would subtract 150.

So the answer would -150.

83, 15, 50, 28, 52, 96 - What is the mean? What is the mode? What is the median?

Answers

Answer: mean-54     mode-1     median-50

Step-by-step explanation:

PLZ Help!!! Best answer gets Brainliest!!!

Answers

Answer:

Yes

Step-by-step explanation:

There is a steady increase (non-changing) between both the x and y columns, so I know this is a proportional relationship.

I hope this helps!

please show how to work it out x

Answers

Answer:

265.1

Step-by-step explanation:

10% = 0.1

15% = 0.15

0.1(42)(8) + 0.15(14)(15) + 200 = 33.6 + 31.5 + 200 = 265.1 - total amount  Adam earned last week.


Solve the equation and check your solution.
3x − 6 = 4(2 − 3x) − 8x

Answers

Answer:

x = 14/23

Step-by-step explanation:

3x − 6 = 4(2 − 3x) − 8x

3x − 6 = 8-12x − 8x

3x=14-20x

23x=14

x= 14/23

3(14/23)-6=4(2 − 3(14/23) − 8(14/23)

And solve hope this helps. Remember to isolate the variable when finding x for next time.

The solution to the given equation is x = 14/23.

To solve the equation 3x - 6 = 4(2 - 3x) - 8x, we will simplify and solve for x:

First, let's distribute 4 to the terms inside the parentheses on the right side of the equation:

3x - 6 = 8 - 12x - 8x

Next, let's combine like terms on the right side of the equation:

3x - 6 = -20x + 8

Now, let's bring all the x terms to one side of the equation by adding 20x to both sides:

3x + 20x - 6 = -20x + 20x + 8

This simplifies to:

23x - 6 = 8

Next, let's isolate the x term by adding 6 to both sides:

23x - 6 + 6 = 8 + 6

This simplifies to:

23x = 14

Finally, divide both sides by 23 to solve for x:

x = 14/23

So, the solution to the equation is x = 14/23.

To check the solution, substitute x = 14/23 back into the original equation:

3(14/23) - 6 = 4(2 - 3(14/23)) - 8(14/23)

This simplifies to:

42/23 - 6 = 8/23 - 12(14/23) - 112/23

-132/23 = -132/23

Both sides of the equation are equal, confirming that x = 14/23 is the correct solution.

Learn more about the solution to the equation here:

brainly.com/question/15272274

#SPJ6

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of grams and a standard deviation of grams while babies born after a gestation period of 40 weeks have a mean weight of grams and a standard deviation of grams. If a ​-week gestation period baby weighs grams and a ​-week gestation period baby weighs ​grams, find the corresponding​ z-scores. Which baby weighs relative to the gestation​ period?

Answers

Complete question :

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 410 grams. If a 32 ​-week gestation period baby weighs 3300 grams and a 40 ​-week gestation period baby weighs 3600 ​grams, find the corresponding​z-scores. Which baby weighs more relative to the gestation​ period? Find the corresponding​ z-scores. Which baby weighs relatively more​?

Answer:

32 - 35 weeks = 0.56

40 weeks : 1.22

40 weeks babies weigh more

Step-by-step explanation:

Given that :

32 - 35 weeks babies :

Mean (m) = 2800

Standard deviation (s) = 900

Weight (x) = 3300

40 weeks babies :

Mean (m) = 3100

Standard deviation (s) = 410

Weight (x) = 3600

Obtain the standardized score for both categories :

Zscore = (x - m) / s

32 - 35 weeks :

Zscore = (3300 - 2800) / 900

Zscore = 0.555555 = 0.56

40 weeks :

Zscore = (3600 - 3100) / 410

Zscore = 1.2195121 = 1.22

Zscore for 40 weeks is higher than 32-35 weeks.

Hence, 40 weeks babies weigh more.

It says that I need to find x for the missing angle in the equation.

Answers

Answer:

Could you possible elaborate on the question more?

please help I having trouble not understanding it thank you I appreciate it

Answers

6x +52 + 9x + 23 = 180
15x + 75 = 180
15x = 105
X = 7
7 * 6 = 42 + 52 = 94
94 is the answer

What is the probability of the outcome being an A?

Answers

Answer:

The probability of the outcome being an A is 1/2.

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.

---------------------------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.

The spinner is divided into 8 regions, thus, there are 8 total outcomes.4 of those regions are A, so there are 4 desired outcomes.

---------------------------------------------

The probability of the outcome being an A is:

[tex]p = \frac{4}{8} = \frac{1}{2}[/tex]

Thus:

[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.

A similar problem is found at https://brainly.com/question/16069806

Find f(-3) of the function below
F(x)=2x^3-9x^2-5x

Answers

Answer:

your answer is -120

Step-By-Step Explanation:

2(-3)^3 - 9(-3)^2 -5(-3)

2 (-27) - 9(9) +15

-54 -81 +15

-135 +15

-120

i hope this helps :)

Answer: -120

Hope this helps :)

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