Find the sum of ( 1- 1/n) + (1 - 2/n) + ( 1 - 3/n)...upto n terms

Answers

Answer 1

Answer:

(n-1) / 2

Step-by-step explanation:

We have that the sum has the form of:

Sn = n / 2 [2 * a + (n-1) * d]

we compute the terms of a and d

a = 1 - 1 / n

a = (n - 1) / n

, that is, the first term, in the case d is the subtraction between the second and the first term, thus:

d = 1 - 2 / n - (1 - 1 / n)

d = 1 - 2 / n - 1 + 1 / n

d = - 1 / n

now if replacing these values:

Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)

Sn = n / 2 * [2 * (n-1) - (n-1)] / n

Sn = 1/2 * (n-1)

Therefore, the value of that sum is (n-1) / 2


Related Questions

Answer fast!!
The diagram represents three statements about teachers: p, q, and r.



For how many teachers are both p ∧ r true and q false?

2
4
5
9

Answers

Answer: 5

Step-by-step explanation:

For how many teachers are both p ∧ r true and q false?

(p ∧ r) ∧ (q')

q' = q complement (not in q)

p intersection r = (p ∧ r) = 9

both p ∧ r true and q false = (8+6) - 9

both p ∧ r true and q false = 14 - 9 = 5

OR

p + r - p ∧ r

8 + 6 - 9 = 14 - 9 = 5

Answer:

The answer is C (5) on Edge.

Step-by-step explanation:

What is the domain of the function shown on the graph?

Answers

Answer:

Step-by-step explanation:

Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is

- ∞ < x < ∞

I NEED ANSWERS FAST I WILL GIVE BRAINLIEST, FOR THE TUV one Using the following image, solve for
x
And for the other one find UW

Answers

Answer:

tuv x is 6

uvw x is 0

Step-by-step explanation:

A counterexample for sinytany=cosy is 0 degrees
true or false?

Answers

Answer:

False

sin (y) / cos (y) = cos (y)

cos (y) could be any value from -1 to 1.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

As a member of the Game Shop rewards program, you get a 12% discount on purchases. All sales are subject to an 8% sales tax. Write functions to model the discount and the sales tax, then identify the rule for the composition function that calculates the final price you pay Games Shop.

Answers

Answer:

the answer is 1.041

Step-by-step explanation:

you will do.... 12*8/100

The function to model the amount after the discount is x - 0.12x

The function to model the amount after the sales tax is x + 0.08x.

The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

12% = discount on purchases.

8%  = sales tax.

Now,

If the item cost $x

The function to model the amount after discount.

f(x) = x - (12/100)x = x - 0.12x

The function to model the amount after the sales tax.

g(x) = x + (8/100)x = x + 0.08x

Now,

The rule for the composition function calculates the final price you pay Games Shop.

= x + 0.08x - 0.12x

= x - 0.04x

Thus,

The function to model the amount after the discount is x - 0.12x

The function to model the amount after the sales tax is x + 0.08x.

The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.

Learn more about functions here:

https://brainly.com/question/28533782

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The table shows ordered pairs of the function y = 16 + 0.5x .

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?

(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)

Answers

Answer: The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.

The ordered pairs simply means for every value of x, there is a corresponding value of y.

The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).

This means when x equals negative 4, y equals 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 + (-2)

y = 16 - 2

y = 14

Therefore the first pair, just like the other four pairs all satisfy the equation.

Hence, looking at the options given, we can determine which satisfies the equation

(option 1) When x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) When x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) When x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

From our calculations, the third option (8, 20)  is the correct ordered pair that would fill in the missing values x and y.

Answer:

The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation:

Can someone please help me

Answers

Answer:

1) Yes

Product of Means = Product of Extremes

4 × 21 = 7 × 12

84 = 84

2) No

Product of Means = Product of Extremes

2 × 2 = 3 × 3

4 ≠ 9

3) No

Cross multiplying

3 × 6 = 4 × 8

18 ≠ 32

4) Yes

Cross Multiplying

1 × 25 = 5 × 5

25 = 25

Answer:

Step-by-step explanation:

1) 4 : 7   ? 12 : 21

If product of mean is equal to product of extremes, then they are proportion

Product of extremes = 4*21  = 84

Product of mean = 7 * 12 = 84

Product of extremes = Product of mean

They are in proportion

4 : 7 :: 12 : 21

2) 2 : 3 ? 3: 2

Product of extremes = 2*2 = 4

Product of mean = 3*3 = 9

Product of extremes ≠ Product of mean

They are not in proportion

2 : 3 ≠ 3 : 2

3) 3/4 ?  8/6

3 : 4 ?  8:6

Product of extremes = 3 * 6   = 18

Product of mean = 4 * 8 = 24

Product of extremes ≠ Product of mean

They are not in proportion

3 : 4 ≠ 8 : 6

4) 1/5  ? 5/25

1:5  ? 5 : 25

Product of extremes = 1 * 25 = 25

Product of mean = 5 * 5 = 25

Product of extremes = Product of mean

They are in proportion

1 : 5  :: 5 : 25

I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?

Answers

Answer:

Step-by-step explanation:

The slope would be determined either by a graph or a equation

you didn't put it in the  picture...

2/ 7 − 2/15 = ____ solve ?

Answers

Answer:

16/105

Step-by-step explanation:

2/7 - 2/15 = 16/105

The answer is 16/105

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Joan draws a bar chart to show the temperatures at midday
on March 1st in five cities.
Joan has made four mistakes
in her diagram​

Answers

Answer:

See Explanation

Step-by-step explanation:

The answers are in the attachment already; I guess you need an explanation.

For the first answer

- The bars of Paris, Oslo and Munich are not properly drawn.

This is so because distance between the bats of a bar chart is expected to be the same between all bars.

From the attachment above, it doesn't look so because the bats of these three cities are out of position.

In other words, the vertical lines of the bars must align with the vertical lines of the grid in the graph.

- The Temperature in the y axis doesn't start with 0

When plotting a graph, the origin must be 0 but in the attachment above, Joan used an origin of 2, which is totally incorrect.

- In Munich, the bar graph for x axis is taken more than 1 unit.

The bars of the bar graph should maintain a constant width but from the attachment above, the width of the bar is wider than the width of other bars

are the ratios 1:3 and 4:12 equivalent

Answers

Answer:

Yes.

Step-by-step explanation:

When you simplify the ratio of 4:12, dividing it by 4, you will get 1:3.

Answer:

Yes it is equivalent

Step-by-step explanation:

Yes because 1*4= 4

And 3*4=12

That is 1/3 is equivalent to 4/12

You can say that 1:3 is in proportion with 4:12

or 1:3::4:12

It’s a time card calculation question

Answers

Answer:

Step-by-step explanation: idk ok 1-2 is idk

I Need help please!!

Answers

Answer:

D is answer. So if we do -2 * 3 we get -6, -6-4 = -10. Well that doesn't work for a because its 10 not -10. But we have spotted something already. We do have -2 and -10. Those two work we just tested it, but A doesn't work. The only pair that has the -2 and -10 is d. Sorry for bad english, its not native language

Answer: D

Answer:

d

Step-by-step explanation:

The area of a circle is pi(9x^2 + 42x +49). What is the circumference of the circle? Plz help will mark brainliest!

Answers

Answer:

2pi(3x + 7)

Step-by-step explanation:

In order to solve for the circumference, consider the area and circumference formulas. What is common among them? The radius. Take a look at their formulas below;

[tex]Circumference = 2\pi r,\\Area = \pi r^2,\\\\Where, r = radius[/tex]

Now if the area of this circle is given to be π ( 9x^2 + 42x + 49 ) we can plug it into the area formula as " Area " and solve for r ( radius );

[tex]\pi * ( 9x^2 + 42x + 49 ) = \pi r^2,\\( 9x^2 + 42x + 49 ) = r^2[/tex]

As you can see, π was eliminated on either side of the equation, leaving us with the simplified equation ( 9x^2 + 42x + 49 ). This expression is a perfect square. How so? Well you can rewrite the expression as ( 3x )^2 + 2 * ( 3x ) * ( 7 ) + ( 7 )^2, or ( 3x + 7 )^2;

[tex]( 3x + 7 )^2 = r^2,\\r = | 3x + 7 |,\\r = 3x + 7, r = - 3x - 7\\\\Solution, r = 3x + 7[/tex]

If r = 3x + 7, let us plug it into the circumference formula as to solve for the circumference;

[tex]Circumference = 2\pi r,\\Circumference = 2\pi * ( 3x + 7 )[/tex]

Solution = 2pi(3x + 7)

Will give BRAINLIEST cuz ion know how to do this yall :)


Describe, in detail, the sequence of transformations for figure 1 to form Figure 3 put slide, flip and turn in the right order as the picture shows

Answers

Step-by-step explanation:

1 to 2. object 1 is moved 6 units down, and rotated 180° towards the left

2 to 3. object 2 is moved 6 units right

2. A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is a(n) ________ triangle. *

Answers

__________________________________

The right answer is Acute.

Explanation

Acute angle triangle are those which is more than 0 degree and less than 90 degree.

Hope it help

Good luck on your assignment

________________________________

What is the perimeter of the triangle?

Answers

Answer:

To find the perimeter of the triangle, you need to add up the three sides of the triangle

     /\

1 /__\ 5

     9

1+5+9

_________________________________

Hey!!

The formula to find perimeter of triangle is a+b+c

For example:

If a triangle has the sides of 5,4 and 3 respectively,then to find the perimeter of triangle,we have to use the formula a+b+c which equals to 12.

Hope it helps

Good luck on your assignment

___________________________________

Can someone help me out solved this problem plz! I need help ASAP! Help me I will mark you as brainiest! Show steps!

Answers

Answer:

14 minutes...

Step-by-step explanation:

Wage for an hour: $11.50 per hour

Wage for first 35 hours: $11.50*35 = 402.5

Wage after 35 hours: $17.25 per hour

Earning in one week: $626.75

Therefore, hours worked :

$626.75 - 402.5 = 224.25

Now 224.25/17.25 = 13

Therefore total hours is

13+35 = 48 Hours

Mark as brainliest

use factoring to solve
x^2-2x-35=0

Answers

Answer:

I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good

Answer:

The solution set of the quadratic equation is

x = {7, -5}

Step-by-step explanation:

Given the quadratic equation

[tex]$ x^2 - 2x -35 = 0 $[/tex]

We need to factor this equation

So you need two numbers such that

a + b = -2

and

a×b = -35

How about -7 and 5?

-7 + 5 = -2

-2 = -2

and

-7×5 = -35

-35 = -35

(x - 7)(x + 5) = 0

(x - 7) = 0

x = 7

and

(x + 5) = 0

x = -5

Therefore, the solution set of the quadratic equation is

x = {7, -5}

Verification:

Plug 7 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(7)^2 - 2(7) -35 = 0 \\\\49 - 14 - 35 = 0 \\\\49 - 49 = 0\\\\0 = 0[/tex]

Plug -5 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(-5)^2 - 2(-5) -35 = 0 \\\\25 + 10 - 35 = 0 \\\\35 - 35 = 0\\\\0 = 0[/tex]

Which is equivalent to One-fourth x?

Answers

Answer:

Step-by-step explanation:

That'd be (1/4)x or x/4.

Answer:

The answer is A on edg 2020

Step-by-step explanation:

i got it right.

can i get brainliest

Please help correct answer will be given brainiest!

Answers

Answer:

-12

Step-by-step explanation:

Each number is multiplied by -3 to get the next number. 4*(-3)=-12.

find the value of A when pi= 3.142 and r= 5

Answers

Answer:

7.855

Step-by-step explanation:

A=pi*r^2=3.142*5^2=3.142*25=7.855

The value of A = 7.855 units.

What is area of circle?

The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately  3.142

Here, given that,

r= 5 units

Then, A=pi*r^2

            =3.142*5^2

            =3.142*25

            =7.855

hence, the value of A = 7.855 units.

To learn more on area of circle click:

https://brainly.com/question/22964077

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Which planet is more than one astronomical unit from the Sun? A. Mars B. Earth C. Venus D. Mercury

Answers

Answer: Earth

Step-by-step explanation:

Planet (or Dwarf Planet) Distance from the Sun (Astronomical Units miles km) Number of Moons

Mercury 0.39 AU, 36 million miles 57.9 million km 0

Venus 0.723 AU 67.2 million miles 108.2 million km 0

Earth 1 AU 93 million miles 149.6 million km 1

Mars 1.524 AU 141.6 million miles 227.9 million km 2

Jonathan’s family took a road trip to the Grand Canyon.Jonathan fell asleep after they had travelled 260 miles. If the total length of the trip was 400 miles,what percentage of the total trip had they travelled when Jonathan fell asleep??

Answers

Answer:

Step-by-step explanation:

for 140

miles he had slept

Which equation can be used to solve for x in the following diagram?

Answers

Answer:

18x = 90

x = 5

Step-by-step explanation:

Since it is a 90° angle, you can use 11x + 7x = 90

18x = 90

Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14ft^2 of grass sod and 5 geraniums. Carlos spent $117 on 6ft^2 of grass sod and 7 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.

Answers

Answer:

The cost of one ft^2 of grass sod = $9

the cost of one geranium= $9

Step-by-step explanation:

Hi, to answer this question we have to write a cost equation for each one:

Heather : 14x+5y =171

Carlos: 6x+7y=117

Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.

Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:

98x+35y=1,197

-

30x+35y=585

____________

68x=612

Solving for x:

x = 612/68

x=$9 per ft2

Replacing x=9 on any equation:

6(9)+7y=117

54+7y=117

7y=117-54

7y=63

y=63/7

y=$9  

I will give you brainliest!!!! Which term best describes the slope of this line?

Answers

Answer:

zero

Step-by-step explanation:

The line is a horizontal line

Horizontal lines are of the form y= constant

This means they have zero slope

It’s zero because there is no slope and if it’s a straight horizontal line it’s a 0

What is the surface area of the right cone below?

slanted height of 13 and radius of 4

A. 5277 units

B. 5477 units2

C. 687 units2

D. 104 units2

Answers

Answer:

213.69 units

Step-by-step explanation:

We have to first find the height of the cone.

We can use Pythagoras rule because the slant height, height and radius of a cone all form a right angled triangle:

[tex]h^2 = a^2 + b^2[/tex]

where h = hypotenuse

a and b = the other two sides of the triangle

The radius is 4 units and the slant height is 13 units:

[tex]13^2 = a^2 + 4^2\\\\169 = a^2 + 16\\\\a^2 = 169 - 16 = 153\\\\a = \sqrt{153}\\\\a = 12.37units[/tex]

The height of the cone is 12.37 units.

The surface area of a cone is given as:

SA = [tex]\pi r (r + \sqrt{h^2 + r^2} )[/tex]

[tex]SA = \pi * 4(4 + \sqrt{12.37^2 + 4^2} )\\\\SA = 12.57(4 + \sqrt{13^2} )\\SA = 12.57 (4 + 13)\\\\SA = 12.57(17)\\\\SA = 213.69 units[/tex]

The surface area of the cone is 213.69 units.

A pool in the shape of a rectangular prism holds 648 cubic feet of water. The pool is 4 feet deep and 9 feet wide. What is the length of the pool in feet? *

Answers

Answer: The length is 18 feet.

Step-by-step explanation:

4 * 9 * l = 648   where l is the length in feet.

36 * l = 648

36l = 648

l = 18

Which of the following polygons can form a regular tessellation?

Answers

Answer:

option A.

Step-by-step explanation:

The regular polygons that can be used to form a regular tessellation are an equilateral triangle, a square, and a regular hexagon.

HOPE THIS HELPS.

Answer:

a

Step-by-step explanation:

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