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Anika [276]
3 years ago
6

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

Mathematics
1 answer:
nata0808 [166]3 years ago
7 0

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

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

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Write the equation of the line in slope intercept form given:<br> m = -6, b = 0
Harrizon [31]
Y = -6x

slope intercept form is y=mx+b, I’m sure you just plug in the numbers
5 0
2 years ago
NEED HELP ASAP
miv72 [106K]

Answer:

x=55

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal

3x-60 = x+50

Subtract x from each side

3x-60-x = x+50-x

2x-60 =50

Add 60 to each side

2x-60+60=50+60

2x=110

Divide by 2

2x/2 =100/2

x =55

8 0
3 years ago
Read 2 more answers
Please please help me out
masya89 [10]

Answer:  y = 3x + 1

<u>Step-by-step explanation:</u>

The equation is in Slope-Intercept format: y = mx + b      where

  • m is the slope <em>(difference in y's over difference in x's)</em>
  • b is the y-intercept   <em>(value of y when x = 0)</em>

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\\text{Let }(x_1,y_1)=(0,1)\quad \text{and}\quad \text{let }(x_2, y_2)=(1,4)\quad then\\\\m=\dfrac{4-1}{1-0}=\dfrac{3}{1}=3

b = 1     <em>refer to the table that shows y = 1 when x = 0</em>

Now input m = 3 and b = 1 into the Slope-Intercept formula:

y = 3x + 1

8 0
3 years ago
The sum of 27 and seven times a number is 125. Find the number.
zysi [14]
The number is 14

Here's the solution:

Let the number be x

According to the question,

27+7x=125

//Subtract 27 from both the sides

7x=125-27

7x=98

//divide both the sides by 7

x=98/7

x=14
9 0
3 years ago
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Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
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