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

Answers

Answer 1

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

a = 1b = 2Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

Answer 2

Refer to the attachment

Find All Natural Numbers N Such That 1+3+5+7+...+(2n-1) Sum Is Divisible By 4

Related Questions

30 points reward just answer plsss​

Answers

D and then C because parentheses then multiply and divide then add and subtract
D and C. D because PEMDAS IS PARENTHESIS EXPONENTS MULITPLICATION DIVISON ADDITION AND SUBTRACTION. Sorry all caps

Find the measure of the indicated angle in each triangle, to the nearest degree.

Answers

Answer:

Y = 98

C = 104.8

Step-by-step explanation:

All triangle are 180 degrees

A.

17 + 65 = 82

180 - 82 = 98

B.

73 + 2.2 = 75.2

180 - 75.2 = 104.8

Pls help. I will give you 10 points!

Answers

here is the answer:))

Answer:

the answer is 1 5/6 :))))

please help!!! due tmrw and I don't understand it :(​

Answers

Answer:

for quest

Step-by-step explanation:

For part A of question 4:

The sales tax is .99¢

So the total is $15.99

Find the measure of the angle plz help

Answers

Answer:

you need a protractor to measure it. They have made a picture of that too.

Step-by-step explanation:

you need a protractor to measure it. They have made a picture of that too.

solve the inequality. 1/3b - 4 ≤ 4​

Answers

Answer:

b ≤ 24

Step-by-step explanation:

Treat it like a two-step equation:

1/3b - 4 ≤ 4​

Add 4 on both sides: 1/3b - 4 (+4) ≤ 4​ (+4)

1/3b ≤ 8

Multiply 3 on both sides (3)1/3b ≤ 8(3)

b ≤ 24

- 67 minus what gives me 0

Answers

Answer:

-67

Step-by-step explanation:

-67 minus -67 = -67+67 (since two negatives make a positive) =0

Answer:

Step-by-step explanation:

For the math problem, "67 minus what equals 0?", we can make it into an algebra equation as follows:

67 - X = 0

Then, we solve for X. To solve for X, we first subtract 67 from both sides:

67 - 67 - X = 0 - 67

-X = -67

Next, you multiply each side by -1 to remove the minus from the X:

-X(-1) = -67(-1)

X = 67

Therefore, the answer to "67 minus what equals 0?" is 67 as illustrated below:

67 - 67 = 0

Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.

The diameter of the circle is 67 centimeters. What is the approximate area of the circle? (Use 3.14 for .)

Answers

Answer:

the area of the circle is 3,523.86

Step-by-step explanation:

A company ships bottles of olive oil to stores in boxes.
The graph shows a proportional relationship between
the number of boxes shipped and the number of
bottles of olive oil shipped. About how many bottles are
shipped in 8 boxes?

Answers

Answer:

about 110

Step-by-step explanation:

Pizza world is running a special where an extra large pizza (with a diameter of 20 in) costs only 15.99. What is the cost per square in?

Answers

Answer:

pizza yum

Step-by-step explanation:

Answer:

$0.80 per square inch

Step-by-step explanation:

To find the cost per every square inch, divide the total cost of the pizza by the inches of the pizza. The pizza is 20 square inches and costs $15.99. The cost for every inch of pizza would be $0.7995, but you can just round that to $0.80 ($15.99/20 = $0.7995).

help with the top one ?

Answers

30 pages

We know that there are 60 minutes in an
hour, and that 3 goes into 60 20 times
(3/60 = 20). Multiply 1 1/2 x 20, and that
equals 30 pages.
You can also set it up in fraction form
multiply 1.5/3 times x/60. cross multiply and
solve for x. in this case x = 30.

Explain why x2+7x+4=7x has no solutions.

Answers

[tex]x^2+7x+4=7x[/tex]

[tex]x^2+4=0[/tex]

[tex]x^2=-4[/tex]

Square of any real number cannot be negative because - * - = + so this equation has no solutions

3. Simplify the expression (x3 - 532 +7X - 12) = (x – 4) using long division. Show your work.
Answer.

Answers

Answer:

(3x+7x-532-12)=(x-4)

(10x-520)=(x-4)

10x-x=-4+520

9x=516

9x/9=516/9

x=57.333333

sa’mya built a rectangular flower garden the gardes is 10 feet long and 8 feet wide what is the area of sa’ma’s flower garden area=length x width

Answers

Answer:

Area of Rectangle = Width × Length

10 × 8 = 80

Step-by-step explanation:

give brainliest

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i will mark anyone who answers as brainlist
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also, if u didn't see, we gona do it a bit differently. So now with the brainly update you can only mark 1 person brainiest. so ima do a coin flip chalenge. If you lose at the coin flip you can participate in other giveaways and try to win again.
YOU MUST SAY HEADS OR TAILS IN THE ANSWER

Answers

Hi man, hope you get that portfolio thing done!

Answer:hello

Step-by-step explanation:  its not appropriate

I NEED HELP ASAP PLEASE NO LINKS!!!

Answers

Answer:

-31/4

Step-by-step explanation:

[tex]\frac{1}{2} ^{2}[/tex] is actually just (1/2)(1/2) and that equals 1/4

2 - (2/3) you can simplify to (6/3) - (2/3). that equals 4/3

now put it together!

(1/4) - 6(4/3)

(1/4) - (24/3) --------> (which simplifies to 8)

1/4 - 8 ----> (now you have to simplify this to match 1/4 denominator)

(1/4) - (32/4)

-31/4

msg or comment if you have any questions!

solve an equation to find the value of x.

Answers

Answer:

79°=(7+8x)°[by vertically opposite angle]

79-7=8x

72=8x

72/8=x

9=x

Answer:

the answer is x=9

Step-by-step explanation:

Determine the slope of this graph. Please get right. And ill add extra points.

Answers

Answer:

1/2

Step-by-step explanation:

Slope is the rise over the run.  This means the difference in the y values over the difference in the x values.

The two points on the graph are (2,-2) and ( -6, -6 ).

The difference in the y values is a total of 4 units.

The difference in the x values is a total of 8 units.

The slope would then be 4/8 which simplifies to 1/2.

The line slants upward from left to right so the slope is positive.

scribe
de exponente.
1- 2 x 2 x 2 x 2 =
2-3x3-
3-2/x 4 X 4 X 4 x 4 =
A 5x5 =​

Answers

Answer:

1 - 2 exponent 4

2 - 3 exponent 2

A - 5 exponent 2

I don't understand 3

Step-by-step explanation:

Factorize 3x² + 7xy - 6y².

Evaluate the expression in (a) above if x = 4 and y = 3.

Please help. Thanks.​

Answers

Answer:

3(4)^2+7(4)(3)-6(3)^2

= 78

A pair of skate blades costs
$189.00. A pair of skate boots
costs 4 times that much. How
much are the skates and blades
all together?


Answers

Answer: $945.00

This is because 4 times the amount of $189 is $756, and $189 + $756 = $945.00

The price of an item is $45.00. After a discount, the price is $38.25. What is the percent of the discount?
Answer correctly and I will give brainliest

Answers

Answer:

=15

Step-by-step explanation:

45-x% *45=38.25

(-45) x/100=38.5-45

(-45)x/100=(-6.75)

x=6.75 * 100/45

=15

The percent of the discount is 15.

It is required to find the percent of the discount.

What is percentage?

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

Let the discount percent be x%

When the price of $45 is reduced by x%, we get $38.25.

So,

45 − x % ∗ 45 = 38.25

− 45 x /100 = 38.25 − 45

− 45 x /100 = − 6.75

x = 6.75 ∗ 100 /45

x= 15

Therefore, the percent of the discount is 15.

Learn more about percentage here:

brainly.com/question/24999508

#SPJ2

How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide

Answers

Answer:

Bro thats 2

Step-by-step explanation:

because 1. 1+1=2

2. because 2 is just too good

3. theres no three because theres only 2 steps!!!!

A cloud drifted above an airplane that was flying at 5,300 meters per minute. In 22.5minutes, the cloud moved 7,920meters to the east at a constant velocity. What was the cloud's velocity?

Answers

Answer is 352 metres

Step-by-step explanation:-

The cloud is moving at a constant velocity. This means that we can find the velocity of the cloud by dividing the distance it moved by time:-

[tex]v = \frac{d}{t} [/tex]

Where "v" is velocity, "d" is distance and "t" is time.

The cloud moved 7920 metres in 22.5 minutes, so :-

[tex]v = \frac{7920 \: m}{22.5 \: min} [/tex]

[tex]v = 352 \: m/min[/tex]

Therefore, the cloud's velocity was 352 m/min.

✍️ By Benjemin ☺️

Mount Kilimanjaro is the highest mountain peak in Africa with an elevation of 19,341 feet. What is the

value of the digit 4 in 19,341?

The value is?

Answers

When you have a number like this one thing to remember is that, and I’m using the part 341 as an example

3 is in the hundreds place.

4 is in the tens place.

And obviously 1 is in the one’s place.

It all depends on the placement of the number digit, not the number itself

what is 46+56+3+17+30=

Answers

Answer:

The answer to your question is 152

Step-by-step explanation:

46+56+3+17+30= 152

I hope this helps!

Answer:

152

Step-by-step explanation:

46+56= 102. 102+3= 105. 105+17= 122. 122+30= 152

Help pls
what is the slope intercept form of (-1,8) and (3,6)

Answers

Answer: y = 1/2x+15/2

Step-by-step explanation:

If you need any more help let me know!! I will try to answer every question you post!

2737÷13 full workingout

Answers

210.53846

×wwwwwwwwwwwwwwwww

[tex]2737/13=\frac{2737}{13}[/tex]

This is because division is always the same as a fraction

Select the correct answer
Victor solved this inequality as shown:
Step 1: 3x-5>x+5
Step 2: 2x-5>5
Step 3: 2x>10
Step 4: x>5
What property justifies the work between step 3 and step 4?

Answers

Answer:

In step 3: 2x>10 in order to get for x make divided 2 in both sides where you get x>5 in step 4

Answer:

division property of equality

Step-by-step explanation:

First in order to solve we must learn the properties of equality:

Addition property of Inequality:

If a > b , then a + c > b + c

substraction property of inequality

If a > b , then a - c > b - c

Multiplication property of inequality

If a > b , then a * c > b * c (if c > 0)

Division property of inequality

If a > b , then a / c > b / c (if c > 0)

Step 3: 2x>10

Step 4: x>5

When we divide by 2x/2 and 10/2 we get x>5 so we must use the division property of equality

Is a list of numbers and each number is called a term of the sequence

Answers

Answer:

Terms are positive or negative single mathematical expressions.

Step-by-step explanation:

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