What is the sum of first k+1 even numbers

Answers

Answer 1

Answer:

[tex]Sum = (k+1)(k+2)[/tex]

Step-by-step explanation:

Given

k + 1 even numbers

Required

Their sum

This question will be solved using the sum of nth term of an AP

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Where

a = the first even number

[tex]a = 2[/tex]

n = number of terms

[tex]n =k +1[/tex]

d = difference between consecutive even numbers

[tex]d = 2[/tex]

So, the expression becomes:

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(4 + 2k)[/tex]

[tex]Sum = \frac{(k+1)(4 + 2k)}{2}[/tex]

Factorize 4 + 2k

[tex]Sum = \frac{(k+1)*2*(2 + k)}{2}[/tex]

[tex]Sum = (k+1)*(2 + k)[/tex]

[tex]Sum = (k+1)*(k+2)[/tex]

[tex]Sum = (k+1)(k+2)[/tex]


Related Questions

Please help i dont get this!

Answers

Answer:

The other one is -8 this is because the point on the graph is multiplied by 2

Step-by-step explanation:

Please anyone answer it’s a time limit please answer please please help anyone please.

Answers

Answer:

(-3,-8)

Step-by-step explanation:

I would explain but that would take too much time.

Answer:

3-8

Step-by-step explanation:

Patricia bought three dresses that each cost the same amount and a pair of jeans that cost $45 the items she brought cost a total of $150 before tax was added

Answers

Answer:$35 for each dress

Step-by-step explanation:

150-45=105

105/3=35

$35 each dress

HELP PLEASE ASAPPP I WILL GIVE BRAINLIEST

Answers

Answer:

Corresponding angles converse theorem

Step-by-step explanation:

If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.

Answer:

Corresponding angles converse theorem

Step-by-step explanation:

If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.

20 divided 740
with remainder
and don't use calculator it wont work

Answers

Answer:

the answer it is 740 R 0

Step-by-step explanation:

0 3 7     this is the answer

__________________

2 0 7 4 0

 − 0

            ____    

   7 4  

 − 6 0

             _______  

   1 4 0

 − 1      4       0

          _____________

       0

ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

37 with no remainder.

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

The reason it doesn’t show on the calculator is because it has no remainder (but it is true that some calculators don’t show remainders...)

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

Someone help ASAP need answer

Answers

so to calculate slope, it's change in y over change in x or y2-y1/x2-x1:
-7-11 -18
----------= -------- = -2, the answer is B
5-(-4) 9

Given 3m+6n-6 when m=4 and n=3. I need help with this

Answers

Answer: 24

Step-by-step explanation:

Since we are given the value for m and n, we can plug them in and solve the expression.

3(4)+6(3)-6          [multiply]

12+18-6                [add]

30-6                     [subtract]

24

Now, we know the value of the expression is 24.

what is the value of y?
9y=28–5y

Answers

Answer:

y=2

Step-by-step explanation:

add the -5y over and you get 14y=28

then divide by 14 on both sides and you get y=2

Answer:
y = 2

Explanation:
9 (x 2) = 28 - 5 (x2)

A slow baot to China travels at a constant speed of 17.25 miles per hour for 200 hours. How far was the voyage

Answers

Distance = rate x time

Distance = 17.25 x 200

Distance = 3,450 miles

Answer: the answer is 3450

Step-by-step explanation:

Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 4/3?

Answers

Answer:

awnser my question

Step-by-step explanation:

nkkeneneii3

What is 2x + 2 when x = 0? A 0 B 2 C 20 D 22

Answers

Answer:

B. 2

Step-by-step explanation:

Step 1:

2x + 2          Equation

Step 2:

2 ( 0 ) + 2        Input x value

Step 3:

0 + 2        Multiply

Answer:

B. 2

Hope This Helps :)

Answer:

B

Step-by-step explanation:

There are 57 balls in a bucket. The balls are numbered from 1 to 57. One ballis randomly selected from the bucket.
What is the probability that ball #54 is chosen?

Answers

Answer:

1/57

Step-by-step explanation:

Adriana can read 6 pages in 10 minutes. At this rate, how many pages can
she read in 25 minutes *
Your answer

Answers

Answer:

23 pages.

Step-by-step explanation:

10=6 10+10=20 half of 6=3 20+3=23

answer: Adriana can read 16 pages in 25 minutes

What is the domain of f?
Chose 1 answer:

Answers

D is the right answer

1) 15 = 2W - 5
2) 24 = 2x - 9

Answers

9514 1404 393

Answer:

  1) W = 10

  2) x = 33/2

Step-by-step explanation:

These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.

__

1) 15 = 2W -5

  20 = 2W . . . . . add +5

  10 = W . . . . . . . divide by 2

__

2) 24 = 2x -9

  33 = 2x . . . . . add +9

  33/2 = x . . . . divide by 2

_____

As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.

Write 2 4/7 as an improper fraction.

Answers

Answer:

18/7

Step-by-step explanation:

Convert the mixed number 247 2 4 7 into an improper fraction first by multiplying the denominator (7) by the whole number part (2) and add the numerator (4) to get the new numerator. Place the new numerator (18) over the old denominator (7) .

You have $100 in your savings account and plan to deposit $20 each month. Write a linear equation to model the situation.

y= 100x + 20
y= 80x
y= 20x + 100
y= 120x

Answers

the third option [ y= 20x + 100 ]

you already have 100 and you’re gonna save 20 dollars each month and the number of months would be x

If AABC = ADEC,
ZB = 2x, ZC = 48°, and ZD = 740
A
D
00
E
x = [?]

Answers

Answer:

x=29

Step-by-step explanation:

i believe this is the most recent question to which you requested an answer. Well here you go.

The angle at D equal to the angle at A

If so,the

2x+48+74=180

2x+122°=180°

2x=180°-122°

2x=58°

x=58/2=29

-3.6h = -10.8
what's h​

Answers

Answer: 3

Step-by-step explanation:

Find the slope-intercept equation of the line that
passes through (0, 2) and has a slope of 1/2

Answers

Answer:

1/2

Step-by-step explanation:

Write the following number in word form: 735.009Immersive Reader
(2 Points)

Answers

Answer:

seven-hundred thirty five and nine thousandths

Step-by-step explanation:

Find the slope of the line that passes through each pair of points. A(2, 5) B(3, 1)
Brainliest question​

Answers

Answer:

y=-4/1x-13

Step-by-step explanation:

5-1/2-3

5-1 ( 4)

2-3 (-1)

y=-4/1x+b

5=-4/1(2)+b

5=-8+b

b=-13

y=-4/1x-13

Hope this helped, have a Wonderful Day!!

what is the lowest term of 35/63

Answers

Answer:

5/9

Step-by-step explanation:

Please help faster all these three correct yes or no answer only if you know or I will report you I would like an expert or above to clarify for me thank you! Brainlist

Answers

Answer:

Yes, they are all correct.

Unit 7 homework 1: Gina Wilson answer key
Does any one have the anwerkey?

Answers

The values for x are:

question 15 ⇒x=8

question 16⇒x=19

question 17⇒x=14

Here you should apply your knowledge about regular polygons. The question asks the values of x that is a variable for some interior angles. Then, you will find x from the sum of interior angles of each regular polygon.

Sum of Interior Angles of Regular Polygon

There is a formula that relates number of sides polygon with its sum of interior angles. See below.

                                 S=(n-2)*180°

S=sum of interior angles of regular polygon.

n=number of sides of regular polygon.

Exercise 15

First, you should find the value for the sum of interior angles. Here, the regular polygon has 4 sides. Then,

                                 S=(n-2)*180°

                                 S=(4-2)*180°

                                 S=2*180°=360°

Note that only 3 interior angles are shown in the figure. Nonetheless, the question gives an external angle (71°). Thus, the internal angle will be: 180-71=109°. This is because the interior and exterior angles are supplementary.

Next step, sum of interior angles for finding x

                                  [tex]10x+6+13x-2+109+8x-1=360\\ \\ 31x=360-112\\ \\ 31x=248\\ \\ x=\frac{248}{31} =8[/tex]

                                      x=8

Exercise 16

First, you should find the value for the sum of interior angles. Here, the regular polygon has 6 sides. Then,

                                 S=(n-2)*180°

                                 S=(6-2)*180°

                                 S=4*180°=720°

Next step, sum of interior angles for finding x.

                   [tex]90+9x-19+7x+3+111+5x+8+128=720\\ \\ 21x=720-321\\ \\ 21x=399\\ \\ x=\frac{399}{21} =19[/tex]

                   x=19

Exercise 17

First, you should find the value for the sum of interior angles. Here, the regular polygon has 5 sides. Then,

                                 S=(n-2)*180°

                                 S=(5-2)*180°

                                 S=3*180°=540°

The image of the question shows the sides are congruent, consequently, the angles are equal.

Next step, sum of interior angles for finding x.

                    [tex]9x-18+9x-18+9x-18+9x-18+9x-18=540\\ \\ 45x=540+90\\ \\ 45x=630\\ \\ x=\frac{630}{45} =14[/tex]

                     x=14

Read more about sum of interior angles here:

https://brainly.com/question/1592456

Which is an equation?
A) 6 - x
B) 3/4 x + 2
C) 12(7 - 3)
D) 6x - 6y - 6z

Answers

Answer:

12(7 - 3)

Step-by-step explanation:

All the other do not equal anything.

aye wassup. what do yall want for christmas?

Answers

Answer:

Mafia Ii definitive edition for my ps4 and thats it lol  ;p

Step-by-step explanation:

Answer:

I want a burrito plushie. Which I already got lol

Step-by-step explanation:

The following system of equations intersects at one point. What is the y-coordinate of this point? y = -x-1 3x - 2y = 1​

Answers

Answer:

-3

Step-by-step explanation:

-2x-8=-6x÷4 please show me the steps

Answers

Answer = -16


I have attached a picture below

GIVING BRAINLIEST AFTER TWO ANSWERS ARE GIVEN!!! WILL CHOOSE THE BEST ONE!!! ( the answer is either yes or no )

Answers

Answer:

No

Step-by-step explanation:

The first triangle slope is 12 [tex]\sqrt{37}[/tex] while the second one is 24[tex]\sqrt{37}[/tex] . In order to be on the same line both slopes have to be the same

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