ind all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4

Answers

Answer 1

Answer:

All even natural numbers

Step-by-step explanation:

This is an AP with:

The first term = 1Number of terms = nCommon difference = 2

Find the sum of the first n terms:

[tex]S_n= n(1+2n-1)/2=n^2[/tex]

The sum is divisible by 4 if n is even number:

n = 2k ⇒ n² = 4k² ≡ 0 mod 4

Related Questions

please help me i am so confused

Answers

The correct answer is D :)
I got B. (i hope it’s correct)

You collect 3 dimes, 2 dimes and then 4 dimes. How

much money do you have as a fraction of a dollar.

Here’s a easy questions for some points

Answers

9 dimes is this the correct answer?
It would be 90/100 but you can simplify and it would be 9/10

Answer using the steps: the 1st and 2nd term of a certain geometric sequence are 10 and -5 respectively. what is the 5th term of the geometric sequence

Answers

Answer:

hgnatvaveBfsbztntsrqbrahrahrah

Consider the end behavior of the function g(x)=-1/3|x|+9 and complete the statements.

As x approaches negative infinity, g(x) approaches [ Negative, Positive ] infinity.

As x approaches positive infinity, g(x) approaches [ Negative, Positive ] infinity.

Answers

Answer: thanks for this answer, I was working on this problem.

As x approaches negative infinity, g(x) approaches [ Negative] infinity.

As x approaches positive infinity, g(x) approaches [ Negative] infinity.

Help pleaseeeeeeeeee

Answers

I think the answer is B

Which statements about the graphs of y = 1/2sin x and y = 1/2sin(x - π /2) are true?
Select all that apply.
A) The graph of y = sin(x - π/2) is shifted units π /2 units left from the graph of y=1/2sin x.
B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of
y = 1/2 sin x.
C)The period of y=1/2sin(x - π/2) is π/2, and the period of y = 1/2sin x is 2 π.
D)The amplitude of y = 1/2sin(x - π/2) is half the amplitude of y = 1/2 sin x.
E)The amplitude of y=1/2 sin(x - π/2) is the same as the amplitude of y = 1/2 sin x.

Answers

The answer is b.

Subtracting pi/2 to the x value shifts it towards the right. (It’s basically the opposite of the number line, negatives=right positives=left)

The correct answer is option B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of y = 1/2 sin x.

How do you describe a graph?

For most graphs, give a brief description including the title and axis labels, and mention trends not already described in the text. For simple charts, state the actual data points. For more complex charts, an ideal description would include the data in a table or list.

Learn more about graphs here: brainly.com/question/14323743

#SPJ2

HELPPP PLEASEEE!!!!!!!

Answers

Answer:

CFX, ADC

Step-by-step explanation:

CFX is just a larger version of AEX. Same thing with CFX.

If the student has already read 2525 of the pages, how long will it take them to read the rest of the book? _____ minutes Your answer should be written as a decimal rounded to the nearest tenth if necessary.

Answers

The number of pages the student can read in a minute is an illustration of rates.

The time left to complete the whole book is 90 minutes

From the complete question, the student's rate is:

[tex]\mathbf{Rate = 50\ pages/hr}[/tex]

The number of pages is:

[tex]\mathbf{Total = 100\ pages}[/tex]

First, we calculate the time to read the whole book

[tex]\mathbf{Total\ Time = \frac{Total\ pages}{Rate}}[/tex]

[tex]\mathbf{Total\ Time = \frac{100\ pages}{50\ pages/ hr}}[/tex]

[tex]\mathbf{Total\ Time = 2\ hours}[/tex]

The number of the student has read is:

[tex]\mathbf{Pages = 25}[/tex]

Next, we calculate the time spent on the 25 pages

[tex]\mathbf{Time\ Spent = \frac{Pages}{Rate}}[/tex]

[tex]\mathbf{Time\ Spent = \frac{25\ pages}{50\ pages/hr}}[/tex]

[tex]\mathbf{Time\ Spent = 0.5\ hr}[/tex]

Convert to minutes

[tex]\mathbf{Time\ Spent = 30\ minutes}[/tex]

So, the time left is:

[tex]\mathbf{Time\ Left = Total\ Time - Time\ Spent}[/tex]

This gives

[tex]\mathbf{Time\ Left = 2\ hours- 30\ minutes}[/tex]

[tex]\mathbf{Time\ Left = 1\ hour, 30\ minutes}[/tex]

Convert to minutes

[tex]\mathbf{Time\ Left = 90\ minutes}[/tex]

Hence, the time left is 90 minutes

Read more about rates at:

https://brainly.com/question/18065083

What is the value of y for the problem (2y + 20)? ANSWER QUICKLY - I WILL GIVE BRAINLIEST!

Answers

Answer:

2(y+10)

Step-by-step explanation:

factor out the common term 2

Answer:

2(y + 10)

Step-by-step explanation:

cannot find y unless this is supposed to equal something, but this is how you factor out the answer. let me know if you have any other questions!

Someone help me pls

Answers

Answer:

1 rubber cube dude give since we'll

the width of a rectangle is 3 inches less than its length the perimeter of the rectangle is 26 inches what is the width of the rectangle

Answers

Answer:

5

Step-by-step explanation:

W = x

L = x + 3

P = 2W + 2L

26 = 2(x) + 2(x + 3)

26 = 2x + 2x + 6

26 = 4x + 6

26 - 6 = 4x

20 = 4x

x = 5

5/b = 45/36
Solve for B please :))

Need answer asap, tyyy

Answers

5/b=45/36
5/1•1/b=5/4
Divide by 5
1/b=(5/4)/5
1/b=5
b=0.2
First you would divide, 5/b = 45/36 = 5/b -> 5/4.

You then will multiply all terms by same value
. B • 5/b -> B• 5/4,

then cancel which leads you to 5 = B • 5/4.

Now reorder to have 5 = 5/4B. Combine multiple terms into having 5= 5/4 b -> 5 = 5b/4,


Cancel multiplied terms that are on denominator, 4 • 5 = 4 • 5b/4, 4 • 5 = 5b

Multiply numbers
4 • 5 = 5b
20 = 5b

Divide both sides of the equation by the same term

20 = 5b
20/5 = 5b/5

Which leaves you left with b = 4.

I hope this doesn’t sound confusing in a way !

plsssssss help no nonsense pls
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B.

How fast did Car A travel?

(The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.)

Enter your answer in the box.

Answers

Answer:

We let x the distance traveled by Car A and y the distance traveled by car B. The speed of car A can be represented as x/2.4 and for Car B is y/4. From the statement given, we can write an equation relating the speed of both cars.

x/2.4 = 22 + y/4

Since y = x, then:

x/2.4 = 22 + x/4

Solving for x, we obtain:

x= 132 meters traveled by both cars

Therefore, Car A has a speed of 55 mph.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/2.4 = 22 + y/4

Since y = x, then:

x/2.4 = 22 + x/4

x= 132 meters traveled by both cars

Therefore, Car A has a speed of 55 mph.

answer the question below

Answers

Answer:

3/8 of a pizza or 3 slices

Step-by-step explanation:

First, make the numerator of 3/4 an even number that can be divisible by 2 by multiplying the numerator and denominator by 2.

3/4 = 6/8

Then multiply 6/8 by 1/2 to get 3/8

An equation is given.




y=3x+cy=3x+c


​Create an equivalent equation by solving for x in terms of y and c.

x=

Answers

Answer:

Step-by-step explanation:

123

What is the answer to 6^7 / 6^4

Answers

The answer to your question is 6^3 or 216

Answer:

216

Step-by-step explanation:

6^7 means 6*6*6*6*6*6*6 and 6^4 means 6*6*6*6

so this is;

6*6*6*6*6*6*6 / 6*6*6*6

279936/1296

216

(5, -3) move it seven units to the left amd one unit up. Please help-

Answers

Answer:

That would be -2, -2

Step-by-step explanation:

This is because if you go left or right it changes the x in (x,y). And when you move up or down it changes the y. So 5 seven units to the left is like 5 - 7 which is -2. And one unit up from -3 is -3 + 1 which is -2. Then you get your answer which is (-2,-2)

Find two consecutive even integers such that 4 times the smaller integer is 44 less than 7 times the larger integer

Answers

Answer:

let x be the smaller number.

let x + 2 be the larger number.

4 times the smaller number is 2 more than 3 times the larger number.

in equation form, this becomes:

4x = 3 * (x+2) + 2

simplify this to get:

4x = 3x + 6 + 2 which becomes:

4x = 3x + 8

subtract 3x from both sides of this equation to get:

x = 8

this means that x+2 = 10

the smaller number is 8 and the larger number is 10.

4 times the smaller number is equal to 32.

3 times the larger number + 2 is equal to 32.

requirements of the problem check out ok, so the solution is good.

the smaller number is 8.

the larger number is 10.

Step-by-step explanation:

please mark me as the

The width of a rectangle is three units less than the length. The area of the rectangle is 4 units. What is the length, in units, of the rectangle

Answers

length is 4

area= l*w

4-3=1

4*1= 4

what is the estimate of 19,369

Answers

Answer:

19,500

Step-by-step explanation:

This is probably a good one.

Which one is this answer for this can someone help me pzl

Answers

Answer:

66

Step-by-step explanation:

The red mark with "22" indicted that's 22, So you can remove 44(A) and 66(D), It cant be 22(B), Its Cleary 11.5(C)

Graph the line that passes through the points (-5, 3) and (−1,−1) and determine the equation of the line.

Answers

A line can be drawn by joining the plot of the two given points

Please find attached the graph of the line created with MS ExcelThe equation of the line is y = -x - 2

Reason:

Given points on the line are (-5, 3) and (-1, -1)

From the given points, the graph of the line can be plotted with MS Excel

The slope, m, of the line is given as follows

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we have;

[tex]Slope, \, m =\dfrac{-1 - 3}{-1 - (-5)} = \dfrac{-4}{4} = -1[/tex]

The equation of the line in point and slope form is therefore;

y - 3 = -1·(x - (-5) = -x - 5

In slope and intercept form, we have;

y = -x - 5 + 3 = -x - 2

The equation of the line in  slope and intercept form is y = -x - 2

Learn more here:

https://brainly.com/question/2088114

The difference between 5 thousands and 4thousends is

Answers

5000-4000=1000

Difference means subtraction.

Answer:

5000-4000=1000

Step-by-step explanation:

you subtract to get your answer

Write your equation with "M" isolated.4 Hours (H) 36 Miles (M)

Answers

H=9M aka M=1/9H is the equation

Helpppp??? Plzzzz???

Answers

yes what do u need help in??!!

Which of the following is a solution to the equation 1649

Answers

Answer:

But what do we have to do ? like add subtract or multiply?  i dont know

Step-by-step explanation:

Find the slope of the line

Answers

Answer:

Slope = 3

Step-by-step explanation:

(2, 0)

(0, -6)

(-6-0)/(0-2) = -6/-2 = 3 = m

Math help
Brainlest
Helpppppppp

Answers

Answer:

first one I think is 6 and then 3

Step-by-step explanation:

how can you solve this problem? 3x + 14 = 59. solve for x.​

Answers

Answer:

x = 15

Step-by-step explanation:

3x + 14 = 59

subtract 14 from both sides

3x = 45

divide both sides by 3

x = 15

Answer:

15

Step-by-step explanation

Subtract 14 from both sides and the do 45 divided by 3 and it gives you your answer 15

Write an equation to find the nth term for: 7,13,19,25…

Answers

Answer:

[tex]a_{n} = a_{1} + d(n - 1) \\ d = 6 \\ a_{n} = 7 + 6(n - 1)[/tex]

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