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

Define a variable, write an inequality, and solve: A number decreased by 7 is at least 15.

Answers

Answer:

x is greater than it equal to 22

Step-by-step explanation:

Have a nice day! xoxo Arael :)

95
28pºo
Which expression is equivalent to
? Assume p*0.90
12067
2
015912
7015
3712
o
2012
075
7015912
3

Answers

Answer:

7p¹⁵/ 3q¹²

Step-by-step explanation:

From the question given above,

28p⁹q¯⁵ / 12p¯⁶q⁷

To know which of option is equivalent to the above expression, we shall simplify the expression as shown below:

28p⁹q¯⁵ / 12p¯⁶q⁷

28p⁹q¯⁵ ÷ 12p¯⁶q⁷

Recall:

Xᵐ ÷ Xⁿ = Xᵐ ¯ ⁿ

Therefore,

28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (28/12)p⁹ ¯ ¯⁶q¯⁵ ¯⁷

28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p⁹⁺⁶q¯¹²

28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p¹⁵q¯¹²

Recall:

X¯ⁿ = 1/Xⁿ

Therefore,

(7/3) p¹⁵q¯¹² = (7/3) p¹⁵ × 1/q¹²

(7/3) p¹⁵q¯¹² = 7p¹⁵/ 3q¹²

Hence,

28p⁹q¯⁵ / 12p¯⁶q⁷ = 7p¹⁵/ 3q¹²

Answer:

B

Step-by-step explanation:

Please if you know plz tell me ;(

Answers

the images go in order to the graph

HELPPPP IM GIVING BRANLEISTTTT PLESE HURRY ITS DUE IN 20 minssss!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B. -3,4

Step-by-step explanation:

1. Choice D

2. Choice C

3. Choice B

4. Choice B

5. Choice C

3. Last week Hailey sold 40 raffle tickets for a school fund raiser. This week she sold 72 tickets. What is the percent of increase in the number of raffle tickets sold?​

Answers

Answer:

40%

Step-by-step explanation:

Divide 72/40 which gives you 1.8 multiply by 100 gives you 180=1.80

72/ 1.80

40%

The odds in favor of Frank McKinnis winning a hot dog eating contest are 3:8.
a. Determine the probability that Frank will win the contest.
b. Determine the probability that Frank will not win the contest.
a. The probability that Frank will win the contest is
b. The probability that Frank will not win the contest is

Answers

Answer:

a. 37.5% chance of winning

b. 5/8 or 62.5% chance of losing

Step-by-step explanation:

a. 37.5% chance of winning

b. 5/8 or 62.5% chance of losing

An adults heart beats around 2,100 every 30 minutes. A baby’s heart beats about 2,600 times every 20 minutes. How many more beats does a baby’s heart beat in 60 minutes than an adults heart?

Answers

Answer:

3600 beats

7800-4200=3600

What should be done to both sides of the equation in order to solve -5m=-40

Divide by -5
Divide by -40
Multiply by -5
Multiply by -40​

Answers

Divided by -5 on both sides
Divide by -5 to get m

SOMEONE PLEASE HELP ME!! WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!!

Answers

Answer:

12 miles in one hour

Step-by-step explanation:

60 minutes in an hour

60/15= 4

4*3=12


The area of a rectangular wall of a barn is 144 square feet. Its length is 10 feet longer than the width. Find the length and width of the wall of the barn.
The width is __feet.

Answers

Answer:

8 feet

Step-by-step explanation:

Let l and w be length and width, respectively. Then:

lw=144   and

l=w+10

So:

w(w+10)=144

w²+10w-144=0

(w+18)(w-8)=0

w=8 as the width ................

The width of the rectangular wall is 8 feet.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Let l and w be length and width, respectively. Then:

l x w=144  

l = w + 10

The area will be given as;-

w(w+10)=144

w²+10w-144=0

(w+18)(w-8)=0

w = 8  and -18 ignore -18.

Therefore the width of the rectangular wall is 8 feet.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ2

PLZ HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!

Answers

Answer :A.

Step-by-step explanation:

The first one. hope this helps

Fill in the blanks to explain Meera's UDid​

Answers

You already have a correct answer written!

The Horseshoe Nebula is about 5 x 10light years away from Earth. One light
year is equal to approximately 5.9 x 1012 miles. What is the approximate distance
in miles, between Earth and the Horseshoe Nebula?

Answers

answer is 2.95x10^14. you would times them tougher

Write an equation for the n th term of the arithmetic sequence -7 -2 3 8

Answers

The common difference between each number is +5. So it is 5n , then you figure out the difference between the 5 times table ( as 5n is the 5 times table) and the original sequence. The difference is -12.
So 5n-12

HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: 53.33

Step-by-step explanation:

60 + 9x =540

540-60 = 480

480 = 9x

53.33 = x

A number is multiplied by 2, and then the product is added to 9. The result is 49

Answers

Answer:

the answer would be twenty

Step-by-step explanation:

20x2=40 +9=49

49=49

Solve for A if is 3.14 and R = 3

Answers

Answer:

A = 28.26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Equation:   A = πr²

Given:   π = 3.14, r = 3

Step 2: Evaluate

Substitute:                    A = 3.14(3)²Exponents:                   A = 3.14(9)Multiply:                        A = 28.26

calculate the slope of the line​

Answers

THE CALCULATED SLOPE IS -1

¿Cuántas placas diferentes de autos se pueden formar con 3 letras, seguidas de 4 números del 0 al 9? Considere que el alfabeto letras. cuenta con 27

Answers

Answer: Se pueden hacer 196,830,000 placas distintas.

Step-by-step explanation:

Cada placa va a tener 3 letras y 4 números.

Lo primero que tenemos que hacer es contar el numero de opciones que tenemos para cada selección, donde las selecciones van a ser.

Primera letra, segunda letra, tercera letra, primer numero, etcétera.

Entonces.

Para la primera letra tenemos 27 opciones.

Para la segunda letra también tenemos 27 opciones.

Para la tercera letra también tenemos 27 opciones.

Para el primer numero tenemos 10 opciones (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

para el segundo numero también hay 10 opciones.

Para el tercer numero también hay 10 opciones.

Para el cuarto numero también hay 10 opciones.

El numero total de posibles combinaciones va a ser igual al producto de todos los números de opciones, en este caso es:

C = 27*27*27*10*10*10*10 = 27^3*10^4 = 196,830,000

Se pueden hacer 196,830,000 placas distintas.

Need answers to three questions in picture will give brainly

Answers

Answer:

3. the answer is A3

Step-by-step explanation:

you do 3x-1 and you get 3

Answer:

3. B

4. J

5. C

the average rate of change of the function f(x) on the interval -3≤x≤3 is -2.5. If (-3)=14 then which of the following is the value of f(3)?

Answers

The average rate of change of f(x) on -3 ≤ x ≤ 3 is given to be

(f (3) - f (-3)) / (3 - (-3)) = -2.5

If f (-3) = 14, then

(f (3) - 14) / (3 + 3) = -2.5

(f (3) - 14) / 6 = -2.5

f (3) - 14 = -15

f (3) = -1

Mr. Heath organizes a six-game tournament where players will
• earn 2.2 points for every game won (W),
• earn 1/4 point for any game ending in a tie (T), and
• lose 3 points for every game lost (L).

Tally a score for an imaginary player.
Make sure the player plays all six games and has at least one win, one loss, and one tie.
Write and solve an equation to find the player’s total score.

Answers

9514 1404 393

Answer:

  (W, T, L, S) = (3, 2, 1, 4.1)

Step-by-step explanation:

For some number of wins (W), ties (T), and losses (L), the player's score will be ...

  score = 2.2W +0.25T -3L

For 3 wins, 2 ties, and 1 loss, the player's score is ...

  2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1

Which of the following equations are
true? Select all that apply.
A 7 +(-7) – 14
B +
-4 + 9 - 5
C 3- (-10) = -7
D-2-6-8

Answers

Answer:

A. B. D. NOT C

Step-by-step explanation:

i don't know if you wrote anything wrong but this is correct if you are correct

My Practice Time 4
Shiva went to Rajaram Provision Store and bought 2 kg of tuar dal at 383.50 per kg,
3-kg of moong dal at 371.70 per kg, 5 kg of rice at 52.00 per kg, 100 g of mustard at
*85 per kg and 250 g of jeera at 200 per kg. Prepare a bill and find the total cost. Find
out how much he should get back, if he gives a 1000 note to the shopkeeper.
2
17​

Answers

Answer:

which class wuestion??

Which is the correct label of the line?

points C and D lie on line a

(4 points)

Select one:
a. There is a horizontal line with arrows on either end over the letters A C.
b. There is a horizontal line with arrows on either end over the letters CD.
c. D
d. Two vertical lines beside the letter A

Answers

Answer:

b horizontal with arrows and c and d

Answer: CD

Step-by-step explanation: I took the test.

8/10/2022

How to post a answer so people can see it

Answers

If It already has two answers then you’ll have to go to the comments to help but if it on has one or none there should be a blue button at the bottom that says answer

Consider the following number line. What is the sign of B+A

A. Positive

B. Negative

C. Neither positive nor negative- the sum is zero.

PLEASE ANSWER NOW ITS DUE IN MINUTES THE TEST

Answers

Answer:

c

Step-by-step explanation:

im 95% sure

PLEASE HELP!! AND SHOW WORK OR EXPLAIN PLEASE!! I WILL GIVE BRAINLIEST!!

Answers

Answer:

H) Slope -1/4 and y-intercept -1.5

Step-by-step explanation:

The slope of the line is determined by the formula :

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\[/tex]

We can use any two points on the line lets use the ones that are shown, (-6 , 0) and (2 , -2).

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-2-0}{2-(-6)} \\\\m=\frac{-2}{8}\\\\m=-\frac{1}{4} \\[/tex]

and the y-intercept is shown in the graph where the line crosses the y-axis

In this case the line crosses the y-axis between -1 and -2 which is -1.5

so the value of slope is -1/4 and the value of y-intercept is -1.5 .So third option is our answer.

if 3x+10=4, what is the value of 2+5x? please help

Answers

Answer:

-8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3x + 10 = 4

2 + 5x

Step 2: Solve for x

Subtract 10 on both sides:                    3x = -6Divide 3 on both sides:                         x = -2

Step 3: Evaluate

Substitute in x:                    2 + 5(-2)Multiply:                               2 - 10Subtract:                              -8

Real World Systems
1. Members of a drama club spend $795 on T-shirts and sweatshirts for a play. They purchase 20 more T-shirts than
sweatshirts. They buy T-shirts for $12 each and sweatshirts for $25 each.
How many T-shirts do the drama club members buy?
A
15 T-shirts
B.
21 T-shirts
с
22 T-shirts
D.
35 T-shirts

Answers

The correct answer is A
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