how do i find a formula for "1+3+5+7+......+(2n-1)

Answers

Answer 1

Answer:

Step-by-step explanation:

common difference d=3-1=2

first term a=1

an=a+(n-1)d

2n-1=1+(l-1)2

2n-1=1+2l-2

2n-1=2l-1

l=n

(i used l for number of terms)

number of terms=n

[tex]S_{n}=\frac{n}{2} (first ~term+last~term)\\=\frac{n}{2} (1+2n-1)\\=n^2[/tex]


Related Questions

Who ever gets these questions right gets a Crown and 25 points

1. Whats the symbol of pi?

2. 1 + 1 =
A. 1
B. 3
C. 0
D. None of the above

3. How many number does pi have?

4. When is national pi day?

5. What is 81 divisible by? (MULTIPLE ANSWER CHOICE)
A.11
B.2
C.8
D.3
E.6
F.4
G.9

6. 789 x 17 =
A. 13753
B. 13003
C. 13413
D. 13212
E. 13412
F.13431

Answers

Answer:

1) π

2) D. None of the above

3) 31.4 trillion

4) March 14 (3/14)

5) D and G

6) C. 13413

If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?
A.15.0%
B.14.0%
C.18.4
D.16.3

Answers

Answer:

I THINK it would be B.

Step-by-step explanation:

I’m very sorry if I’m wrong.

Answer:

16.3%

Step-by-step explanation:

21.5 times 0.163= 3.5

Can someone explain why the answer is True. Will make brainliest.

Answers

Answer:

True

Step-by-step explanation:

With Sin and Cos, the rule is that the opposites are the same:

SinA=CosB

CosB=SinA

In this problem, it is showing SinA=cosB, so it is the same, it is true.

Hope this helps!

Pls help me plz either sdys

Answers

Answer:

44

Step-by-step explanation:

14x3.14 is 43.96 and that after being rounded to the nearest tenth becomes 44

The radius of a circle is 1 inch. What is the area?

r=1 in

Give the exact answer in simplest form.

Answers

Answer:

3.14 square inches or π square inches

Step-by-step explanation:

The radius of a circle is 1 inch. What is the area?

r=1 in

The formula for the area of a circle is given as:

πr²

The radius (r) = 1 inch

Hence,

Area of the circle = π × 1²

= 3.1415926536 square inches

Approximately = 3.14 square inches or we can say that the Area of the circle = π square inches

The temperature is 0 degrees, every hr it's dropping 3 degrees the temperature is -6 degrees at a certain time. How mush did the temperature decrease, how many hrs did it take to be at -6 degrees

Answers

Answer:

i think 2

Step-by-step explanation:

Carla wants to save $55.50 to buy a new video game. Carla babysits her niece once a week and earns the same amount of money each week. After every time she babysits she donates $2 from the money she earned to the local food bank. Carla calculates that it will take her 6 weeks to save enough to buy her video game. Write and solve an equation to determine how much money Carla earns per week. ​

Answers

Answer:

$11.25

Step-by-step explanation:

55.50 divided by 6 = 9.25

9.25 + 2 = 11.25

identify the pattern 3,7,11,15

Answers

Answer:

Step-by-step explanation:

3 7 11 15 19 23 27


One penny is 1% of a dollar
$ 0.25 is 25% of a dollars . $1.25 is 12.5% dollars

Answers

Answer:

$1.25 is NOT 12.5% dollars. It is 125% of a dollar.

Step-by-step explanation:

We have 1 and 1/4 dollars. 1 and 1/4 as a percentage is 125%

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

4.1 inches

I would appreciate Brainliest, but no worries.

Answer:

6

Step-by-step explanation:

the formula for the sphere's volume is [tex]\frac{4}{3} *\pi *r^3[/tex]

so when you set that equal to 288[tex]\pi[/tex], you get 6 as the radius

a kite is flying at an altitude of 20 meters elevation from the ground to kite is 30

Answers

I think 35 meeters sowwy if I’m wrong

Please help:///. Due today

Answers

Answer:

C: 108 cans

Step-by-step explanation:

just trust me bro

96 cans.

12*3= 36

12*4= 48

6*2= 12

36+48+12= 96

there is a line that includes the point 7,2 and has a slope of -1/3

Answers

Answer:

y= -1/3x + 13/3

Step-by-step explanation:

we can find the equation of the line thanks to this formula

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the point, while m indicates the slope

y-2 = -1/3(x-7)

y = -1/3x+7/3+2

y= -1/3x + (7+6)/3

y = -1/3x+13/3

ill give brainliest

Write and solve an equation to determine the unknown variable. Then find the measure of the unknown angles.

Your options are:

A. x + 7 + 2x - 40 = 180 One angle is 78 degrees and the other is 102 degrees

B. x + 47 = 180 The unknown angles are both 133 degrees

C. x + 7 + 2x - 40 = 90 One angle is 48 degrees and the other is 42 degrees

D. x + 7 = 2x - 40 The unknown angles are both 54 degrees ​

Answers

Answer:

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Calculate the total surface area of the pyramid. Show your work!

Answers

Answer: 22.44

Step-by-step explanation:

Base × Height /2 → (3 × 2.24)/2

3.36 · 4 = 13.44

13.44 + 3²

22.44

The sheet of metal has dimensions 56 cm by 33 cm. It sis melted down
and recast into discs of the same thickness and radius 7 cm. How many
disces will be cast ?

Answers

Answer:

12 discs

Step-by-step explanation:

Sheet metal has dimensions of 56 cm by 33 cm. This indicates that it is a rectangle.

A_rectangle = length × width

A_rect = 56 × 33

A_rect = 1848 cm²

It is now melt down and recast into disc's of 7 cm radius and similar thickness.

Thus;

Area of one disc = πr² = π × 7² = 49π

Thus,number of disc's cast = 1848/49π

number of disc's cast = 12

whats is the answer to this equation?

who ever gets the right answer gets 25 points.

Answers

Answer:

51.2 m

Step-by-step explanation:

To find perimeter add all sides up

The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownies in centimeters. Which equation represents the height of fudge brownies with x teaspoons of baking powder?

Making Fudge Brownies
Baking Powder (tsp) 5 6 7 8
Height of Brownies (cm) 2.15 2.43 2.71 2.99
A.
y = 0.28x + 0.75
B.
y = 0.75x +0.56
C.
y = 0.75x + 0.28
D.
y = 0.56x + 0.75

Answers

Answer:

A.

y = 0.28x + 0.75

Step-by-step explanation:

Check all that applies using teaspoons of baking powder, x = 5

A.

y = 0.28x + 0.75

When x = 5

y = 0.28x + 0.75

= 0.28(5) + 0.75

= 1.4 + 0.75

y = 2.15

B.

y = 0.75x +0.56

When x = 5

y = 0.75x +0.56

= 0.75(5) + 0.56

= 3.75 + 0.56

= 4.31

C.

y = 0.75x + 0.28

When x = 5

y = 0.75x + 0.28

= 0.75(5) + 0.28

= 3.75 + 0.28

= 4.03

D.

y = 0.56x + 0.75

When x = 5

y = 0.56x + 0.75

= 0.56(5) + 0.75

= 2.8 + 0.75

= 3.55

The equation represents the height of fudge brownies with x teaspoons of baking powder is

y = 0.28x + 0.75

I need help . Pretend they are labeled a-e

Answers

Answer:

a definitely, and maybe e, im not sure

Step-by-step explanation:

let me know if it was right

I think it’s (a) and (c) and (e)

Maths equation need help please

Answers

Answer:

I FIGURED IT OUT!

Step-by-step explanation:

a = 3

b = 3

c = 5

d = 2

give me brainliest

I need help with this answer . Please help . (This is timed!!)

Answers

Answer: Its A

Step-by-step explanation: Just count the lines and since there is 8 lines it would be ?/8 so we going to count up until the dot which stops at 3 soo it would be 3/8


Consider the table of values and the equation, which both represent a function,
Which function has the greater rate of change?

And could you explain how you found the answer?

Answers

Answer:

y = 5x - 2

Step-by-step explanation:

✅Rate of change = change in y/change in x

Rate of change of the table of values using two pairs of values from the table (2, 8) and (3, 11):

Rate of change = (11 - 8)/(3 - 2) = 3/1

Rate of change = 3

✅Rate of change of the equation, y = 5x - 2.

The equation is represented in the slope-intercept form, y = mx + b.

Where, m = slope/rate of change

Therefore, rate of change if the equation would be 5.

Rate of change = 5

✔️The function that has the greater rate of change would therefore be y = 5x - 2

I need help with this question

Answers

The answer is C
(0,0) (1,2) (4,8) (9,18) The relation is linear

Find the equation of the line pls helppppppp

Answers

Answer:

y=2x+4

Step-by-step explanation:

y=2x+4

Answer:

y = 2x + 4

Step-by-step explanation:

The formula for the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. The y-intercept is where the line passes through the y-axis, which would be (0,4), which is positive. To find the slope, find where the line passes through a point, and then count how many units there are till the next point. For this example, you could start from the y-intercept, (0, 4) and to get to the next point, you will go up 2 units, and the right 1 unit. This means that the slope is 2/1 (because it's rise over run) which is the same as 2. So just plug it into the equation, and you get y = 2x + 4.

I hope this helped! :)

Plot the x-intercepts, the y-intercept, and the vertex of the graph (Must use Desmos!)

Answers

Answer:

x-intercept: (-1,0)

y-intercept: (0,3)

Vertex: (-2,-1)

Step-by-step explanation:

i need help with this questionnnn

Answers

I am going to say 3
The answer is 1.7 ! :D

Please Help!!!! What is the final step to prove....

Answers

Answer:

D

Step-by-step explanation:

Step 1(Base step) − It proves that a statement is true for the initial value.

Step 2(Inductive step) − It proves that if the statement is true for n=k, then it is also true for n=k+1.

The answer d n=k+1 that the answer

WHAT IS THE SLOPE IF I HAVE (-3,5) AND (4,-5)

Answers

Answer:

-10/7

Step-by-step explanation:

Use slope formula

[tex]\frac{y2-y1} {x2-x1}[/tex]

x1= -3

y1 = 5

x2 = 4

y2 = -5

[tex]\frac{-5-5}{4--3}[/tex]

[tex]\frac{-5 + -5}{4 +3}[/tex]

[tex]\frac{-10}{7}[/tex]

How high is the hand of the superhero balloon above the ground?
The hand is ____ feet above the ground.

Answers

Answer: the answer is 66

Step-by-step explanation:

Questions are in the image above.

Answers

Answer:

hope this helps

you will find all answer in the photo i sent

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