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

what is the slope pls help

Answers

The slope should be 3x

Answer: 19,7

Step-by-step explanation:

What is the answer please

Answers

27 or 3^3
Since they have the same base (3^11 and 3^4), just 11-4 and get 7 => 3^7
Again, since the same base (3^3 and 3) just sum the exponents => 3+1=4 => 3^4
And now 3^7 : 3^4 => 7-4 is 3 => 3^3 or 27.

Plz solve it And show ur work plzzz giving brainliest

Answers

Answer:

Step-by-step explanation:

4 x 6 1/4

4 x 25/4

= 25

Here is the explanation. Hope this helps!

Given that v = (5,-4, 4) and w = (9-2,7) , evaluate v • w.

Answers

Answer:

a

Step-by-step explanation:

Given

u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is

u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )

Then

v • w

= (5 × 9) + (- 4 × - 2) + (4 × 7)

= 45 + 8 + 28

= 81 → a

Which expression shows how 5⋅37 can be rewritten using the distributive property?




5x30+5x7

5x30+5x37

15x30+15x37

5x30+7

Answers

Answer:

5 x 30 + 5 x 7 is the correct option.

Answer:

5*30+5*7

Step-by-step explanation:

PLEASE HELP NO LINKS OR FILES
1. When the outcome of one even has NO effect on the outcome of the other is called... A. likely events
B. dependent events
C. independent events

2.Lucy picks a marble at random. Without putting the first marble back, Lucy picks another marble at random. This is called...
A. independent probability
B. random ratios
C. dependent probability
D. natural occurrence

3. A bag contains 9 green marbles and 12 pink marbles. One marble is chosen at random and returned to the bag. Then, a second marble is chosen at random.

What is the probability that both marbles chosen will be green?
A. 6/9
B. 9/49
C. 3/4
D. 81/122

Answers

Answer:

1c

2c

3b

Step-by-step explanation:

what are the zeros of the quadratic function if it doesn't cross the x-axis

Answers

Answer:

I think it does not have zeros if it doesn't cross the x-axis .

Step-by-step explanation:

Good luck ^_^

Since a 0 the parabola opens up (is U shaped). Since the roots are imaginary the parabola has no x-intercepts.

Sophia spent $32.16 on four sandwiches. If each sandwich cost the same amout, how much does one sandwich cost.

Answers

Answer:

Step-by-step explanation:

32.16 / 4 = 8.04

$8.04

Brainliest ,easy question

Answers

Answer:

Scale factor is 2/5 or 0.4

Step-by-step explanation:

Divide radius of smaller circle (2) by radius of large circle (5)

Answer:

Scale factor is 2/5

Step-by-step explanation:

Use Pythagorean Theorem to find the value of x.

Answers

Answer:

x=22

Step-by-step explanation:

The answer is x=22.

I had put the answer on comment sorry.

Select the correct answer.
Consider this equation.
cos(8) = -
If 8 is an angle in quadrant II, what is the value of tanê)?
ОА.
15
8
ов. 15
ос. -
✓15
8
OD. 15

Answers

Using trigonometric identities, it is found that the value of the tangent of the angle is given by:

B. [tex]-\frac{\sqrt{15}}{7}[/tex]

What is the tangent of an angle?

The tangent of an angle is given by it's sine divided by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, we have that:

[tex]\cos{\theta} = -\frac{7}{8}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]

[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]

[tex]\sin^2{\theta} = \frac{15}{64}[/tex]

[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]

Since it is on the second quadrant, it is positive, hence:

[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]

Applying the tangent equation:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]

[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/22591162

a guidebook says this tower is 50m tall.Is that correct? given deegrees are 27° and 46°

Answers

9514 1404 393

Answer:

   yes

Step-by-step explanation:

The tower is about 50.1 meters tall. The guidebook is correct.

__

The distance from the base of the tower to the angle vertex is ...

  d1 = h/tan(46°)

  d2 = d1 +50 = h/tan(27°)

Then the height of the tower is ...

  h/tan(46°) +50 = h/tan(27°)

  50 = h(cot(27°) - cot(46°))

  h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692

  h ≈ 50.1544 . . . meters

The tower is more than 50 meters high.

the other answers I already did I just need the division answers​

Answers

Answer:

6÷41 equals 0.14634146341

6÷21 equals 0.28571428571

6÷43 equals 0.13953488372

6÷37 equals 0.16216216216

6÷20 equals 0.3

Step-by-step explanation:

Hope this helps

Choose the correct symbol

Answers

Answer:

[tex]2,000lb < 1 t[/tex]

Step-by-step explanation:

1 Ton = 2,240 lb

help please !! will give brainliest:))

Answers

Answer:

226.19

Step-by-step explanation:

Find the value of x.

Can someone help please?

Answers

A. is the correct answer

Choose the smallest fraction
1/13
1/11
1/12

Answers

Answer:

1/13 is the smallest fraction

Step-by-step explanation:

1/13 = 0.0769

1/11 = 0.0909

1/12 = 0.0833

1/13 is the smallest fraction

The correct answer is 1/13

The cost to mail a package varies directly to the weight of the package. If a 14- ounce package costs $4.48 to mail, find the weight of a package that cost $8 to mail. ​

Answers

Answer:

Step-by-step explanation:

Ok so first, we must figure out what 1 once costs. This can be done by divideing 4.48(cost) by 14(weight).

You should get 0.32.

Now just multiply by 8 and you should get your answer. This answer is 2.56.

Answer:

2.56

Another way this can be done is dividing 8(second weight) by 14(first weight) which will get you the difference. This is 0.5714 blah blah blah goes on for a long time. Now, take this number and multiply it by the 4.48(first cost). This should get you 2.56.

Answer:

2.56

Ti⊂k∫∈s ω∅∅p

Miguel sells insurance. He earns a 6% commission on each sale he makes. Miguel has a goal of earning $600 in commissions. Miguel need to sell $ Worth of insurance to meet his goals

Answers

Answer: $12,000

Step-by-step explanation:

Miguel makes 6% on every sale he makes and wants to make $600 in commissions.

The amount he needs to sell is therefore the amount that has $600 as 5% of it.

Assume the amount of insurance needed is x.

x * 5% = 600

x = 600 / 5%

x = $12,000

How many different 2-digit numbers can be formed from the digits 4, 6, and 8?

Answers

Answer:

6 answers

Step-by-step explanation:

46,48,68,64,86,84


What is the radius of a
cylinder with a
diameter of 18 cm?

Answers

It is 9cm

Since a diameter is twice the size of a radius.

Hope this helps

what percentage is $4 of $16?

Answers

25% to get that you divide the part by the whole so 16/4 and then multiply by 100 to get the percentage

Can anyone help me with this geometry test please I will give brainlist!!



Also NO links!!

Answers

mexico simpre gana vamooos mexico alv todos los estadunidence s

jamal is 8 miles away from his house.he rides his bike home toward home at a speed of 12mph how far away from home is he after a half hour

Answers

Answer:

2 miles

Step-by-step explanation:

12 mph would be 6 miles in a half hour

8 - 6 = 2 miles

Systems of Equations Word Problems
25. A system of equations is given.
1/3x+2y=-1
y=2/3x-3
What is the x-value of the solution to the system of equations?
Enter your answer in the box.

Answers

Answer:it y

Step-by-step explanation: it y =2/2x-3

What is the volume of a hemisphere with a diameter of 5.5 cm, rounded to the
nearest tenth of a cubic centimeter?​

Answers

Answer:

not very sure but  V = 2094.3951 m3

Step-by-step explanation:

can someone please help me​

Answers

Answer: -8

Step-by-step explanation:

Put -8 in place of all of the x variables when I solved the top was equal to 40 and the denominator was equal to -5 and 40/-5 is equal to -8

Answer:

-8

Step-by-step explanation:

(-8) ^2+3(-8)

= ------------------------

4(-8)+27

64-24

=-----------------

-32+27

40

=------------

-5

= -8

Select the correct answer.
Consider this equation of a parabola.
- 2x2 - 4x + 2y + 8 = 0
What is the equation expressed in vertex form?
O A.
B.
л
y = (x – 4)2 – 20
y = (x + 1)2 – 5
C. y = (1 – 4)2 + 4
OD. y = (x + 1)2 - 1

Answers

Answer:

B

Step-by-step explanation:

Hello Kitty has created a new system of conversion for the residents of Kitty Nation. The standard for measurement of length in Kitty Nation is that 8 lenthii = 30 inches and 4 gianthii = 478.8 lenthii. If a design to be sent to Kitty Nation is 294.3 feet long, how many gianthii long will it be? (Include units)

Answers

Answer:

yvcwඨ්‍ය්වුය්tubcccccccccccccuuuuuu,,,v ttttttttrhhhhhhhhh

"Determine which three lengths cannot be the measure of the sides of a triangle. 2 m, 5 m, 6 m 8 m, 10 m, 17 m 5 m, 20 m, 22 m 4 m,15 m, 20 m"

Answers

Answer:

None.

All the four given measurements can form a triangle.

Step-by-step explanation:

Given;

first measurement, = 2m , 5m, 6m

second measurement, = 8m, 10m, 17m

third measurement, = 5m, 20m, 22m

fourth measurement, = 4m, 15m, 20m

For any of the three lengths to form a triangle, the sum of any two sides must be greater than the third side.

First measurement: 2m + 5m = 7m and 7m > 6m (can form a triangle)

Second measurement: 8m + 10m = 18m and 18m > 17m (can form a triangle)

Third measurement: 5m + 20m = 25m and 25m > 22m (can form a triangle)

Fourth measurement: 4m + 15m = 19m and 19m < 20m  BUT

                                  20 m + 15m = 35 m and 35 m > 4m (can form a triangle)

Therefore, all the four given measurements can form a triangle.

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