1!+2(2!)+3(3!)+...+n(n!)=(n+1)!-1




Answers

Answer 1

Step-by-step explanation:

OK, let's assume it this way:

Sn=1.1!+2.2!+3.3!+...+n.n!=(21).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+...+(n+1)!-n!=(n+1)!-1!=(n+1)!-1

and boom problem solved


Related Questions

HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST

Answers

It is ABE and ABD the 1st and 3rd one

what is the surface area of this cone​

Answers

Answer:

14

Step-by-step explanation:

What are the first four terms of the sequence represented by the expression n(n - 2) -3 ?
-5, -2, 1,4
-4,-3,0,5
-3,0,3,6
-2,0,2,4

Answers

Answer:

the first four terms is 3, 0, -3, -6

Which of the following equations represents a nonlinear function?

A.
y = x2 + 5

B.
8x – 4y = 12

C.
y = -4

Answers

B (8x-4y=12) is the answer
B is the correct answer

Consider a bag with 5 green marbles, 3 blue marbles, and 2 red marbles. If two marbles are drawn without replacement what is the probability that they are both blue?

A) .055556
B) .066667
C) .077778
D) .088889

Answers

.b




I THINK I’m pretty sure


someone pls answer this-

Answers

A.43 72-12=60+3=63-20=43

20 came from temperature dropping 2 degrees every 30 minutes for 5 hours means that it dropped a total of 10 times, and 10x2=20 so the answer is 43

Help please please please please

Answers

Answer:

225000

Step-by-step explanation:

Instant brainliest please help.

Answers

35 T Shirts is correct.

35 shirts times $15 is $525.
220 total shirts minus 35 shirts is 185.
185 times $10 a youth shirt is $1850.
$1850+$525=$2375 :)

Evaluate the expression.

2
3
(

7
)
+
2
3
(

5
)
3
2

(−7)+
3
2

(−5)

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

Also have a great day and remember youre worth, dont let no boy/girl tear u down. leave them h*es aside and focus on yo self!!!

In triangle ABC , M and N are midpoints of sides. If MN = 2x + 5 and BC = x2 − 2, find the possible lengths for MN.
A. 17
B. 6 and 2
C. 1 and 17
D. 2 and 34

Answers

Answer:

A.17

Step-by-step explanation:

The possible lengths for MN are 17 and 1, so the correct answer is C. 1 and 17

How to get the lengths

Since MN = 2x + 5 and BC = x^2 − 2, we can write the equation

[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]

Solving for x, we get:

[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]

[tex]4x + 10 = x^2 - 2[/tex]

0 = [tex]x^2- 4x-12[/tex]

0 = (x - 6)(x + 2)

This equation has two solutions: x = 6 and x = -2.

Substituting these values into the expression for MN, we find that MN can have two possible lengths:

MN = 2(6) + 5 = 17 or

MN = 2(-2) + 5 = 1.

Therefore, the possible lengths for MN are 17 and 1, so the correct answer is 17 and 1.

Read more on  triangle ABC here https://brainly.com/question/21105606

#SPJ2

(BRAINIEST AND 7 POINTS !) One year ago Derek joined a health club. He paid a yearly membership fee of $28 that covered all the club's services except the raquetball
court. Derek paid an additional $7 each time he used the raquetball court. For the entire year at the health club, Derek paid a total of $119.

PART 1: Write an equation to represent the number of times (x) that Derek used the raquetball court.
Equation:

PART 2: Solve the Equation your wrote for part 1.
X=
—————————————
This is worth 60% of my grade ! Please help.


Answers

Answer: 7x+28=119

x=13

Step-by-step explanation:

Answer:

119= 7x + 28

x=13

Step-by-step explanation:

This problem requires an equation. y= mx+ b, where y is your total, mx is your slope, and b is your y intercept. Your total is 119, your yearly fee is 28 ( which is b since it only happens ones), and 7 is x (since x represents each time) So 119=7x+28. Now to solve this we would subtract 28 from both sides and then divide that number by 7. So 119-28 is 91. 91/7 is 13. He used the racketball court 13 times. You can plug 13 to make sure.

119= 7(13) + 28.

Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?

Answers

Answer: 4 dollars for each notebook

Step-by-step explanation:

21-9= 12

12/3=4

each notebooks costs 4 dollars

Answer:

$4

Step-by-step explanation:

At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount
dollars per person, assuming that the population of the country is about 303 million
The gross debt is about $ per person
(Type a whole number. Round to the nearest hundred as needed.

Answers

56,105.61 is the answer rounded to the nearest hundred

Answer:

Your answer

56100 per person

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

1. (07.01 LC)
Look at the triangle:

What is the value of sin xº?

A) 12/13
B) 13/5
C) 13/12
D) 5/13

Answers

Answer:

D) 5/13

Step-by-step explanation:

Sin x = Opposite / Hypotenuse

Opposite side length = 5 cm

Hypotenuse length = 13 cm

Sin x = 5/13

What additional information would be enough to prove
the triangles are similar? Choose all that apply:

A. ZH ZE

B. EF bisects LHFG

C.ZG = ZH

Answers

Ahh this is a good hard question hopefully someone comes along and helps you out with it. Goodluck my friend!

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
btw im giving out 100 points and a brainlest so make sure to answer correctly.

Answers

Answer:

10

Step-by-step explanation:

I found the anser by multiplying 5 * 4 = 20, and then multiplying 2 * 2 = 4, then 3 * 2 = 6. Next you add 6 and 4, which equals 10. Finally you subtract 10 from 20 to find your answer of ten.

Hope this helps

Hey guys I need help with this question. Solve the system by substitution: x=-1 and 4x+2y=16

Answers

4(-1) + 2y = 16
-4 + 2y = 16
2y = 20
y = 10

I think this is how u do it..
4x + 2y = 16
4(-1) + 2y = 16
-4 + 2y = 16
+4 +4
2y = 20
/2 /2
y = 10

Solve the image, and you get points.

Answers

The 3rd one is equivalent

A store has 40 bags of potato chips on the shelf. Of those bags, 30 are cheddar-flavored. What percentage of the bags of potato chips are NOT cheddar flavored?

Answers

Answer:

25%

Step-by-step explanation:

30/40 = 0.75 = 75% which ARE cheddar flavored

100%-75% = 25%

Can you help me with this question?
Thanks!

Answers

Answer: 11 people like vanilla.

Step-by-step explanation: There are 50 people in this question. Since 22% of them like vanilla, multiply 0.22 and 50. That gives you 11. Therefore, 11 people out of 50 like vanilla.

if I play rock paper scissors what is the probability of my friend will not throw paper​

Answers

Answer:

2/3 chance

Step-by-step explanation:

3 different things they could do, 1 is paper.

3-1=2

1/3 possibility of your friend not throwing paper. Rock Paper Scissors shoot!

Katniss and Peeta find the sum of their ages which is 50 years. Peeta is five years older than Katniss. What are their ages?

Answers

Answer:

peeta is 30 and kat is 20 i think

Step-by-step explanation:

pLeAsE HuRrY Lol what’s 1+1=

Answers

There are 2 answers to this question

First Answer:

1+1=2

Second Answer:

Window

Explanation:

1 goes on the top

1 goes on the bottom

The first - of the = goes on the side

The second - of the = goes on the other side

The + sign goes in the middle

Heres a picture example:

I hope this helps you have a good day/night/afternoon

An airline company does not charge an extra fee if the weight of a passenger's luggage is less than 55 pounds.

Part A
On the number line, represent the values when the airline company does not charge an extra fee.

Part B
Create an inequality that represents this situation. Let p represent the weight of a passenger's luggage

Answers

Answer:

Let's solve first the part B.

We know that the company does not charge an extra fee is the luggage is less than 55 pounds.

Then if p represents the weight of the passenger's luggage, we need to have:

p is smaller than 55 lb

We also can write this as:

p < 55lb

where the symbol "<"

means that the left side is strictly smaller than the right side.

If we want to be more precise in the notation, we also should have a lower limit.

0lb < p < 55lb

Where the lower limit is because the weight of the luggage can not be zero or smaller than zero.

This is the inequality we wanted.

Now, how we represent this on a number line?

when we have:

x > a

We represent this with a open circle at x = a (this means that x = a is not a solution) and we draw an arrow to the right of a.

and for:

x < a

we represent this with an open circle at a, and we draw an arrow to the left of a.

And if we have:

a < x < b

we draw an open circle at x = a and another at x = b, and all the points between these circles will be solutions.

You can see the graph of the inequality below.

Part A)

(where the point of the arrow should not be there, and both circles should be white)

50 points Type the correct answer I’m the box

Answers

i only see a black image, can you resend the image? or type it out here
There is no question. But the answer always is biggie cheese

Heres a challenge!! Marking most Brainly:)))

Answers

Answer:

(30, 90) is a viable solution

(50, 160) is a nonviable solution

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = 1x - 5

Step-by-step explanation:

y=1x-5 is the correct answer

Replace the ? With one of the following symbols

Answers

Answer:

C. 2 +3 = 4 + 1

Step-by-step explanation:

f(x) = -x + 2, find f(6)

Answers

Answer:

f(6)=-(6)+2=-4

........................

F(6) = -4
-6 + 2 = -4

P=D•W what does this mean in a formula

Answers

pendants =directly•width
Pendants=directly*width
Other Questions
calculate the concentrations of h , hc03, and co~- in a 0.025 m h2c03 solution. Propose a hypothesis for the question: What is the effect of changing the net force on the acceleration of an object? What are the solutions to the equation x^2-8x=10? The equilibrium concentrations for a solution of the acid HA are [HA] = 1.96 M, [A-] = 1.089 x 10-2 M, and [H3O+] = 1.089 x 10-2 M. What is the Ky for this acid? Select the correct answer below: O 2.78 x 10-3 360 1.65 x 104 6.05 x 10-5 if more milk is produced than people drink, then the agriculture department's commodity credit cororation purchases the surplus milk with tax dollars T/F to determine the deferred tax expense (benefit), the beginning and ending balances of the deferred income tax accounts need to be compared. true false 3. Solve: 5 x 4+ (1+1) + 5 = *Your answer TRUE/FALSE. during the twentieth century, the real income of the average american grew by a factor of more than seven. I really need help on this science questionTemperature, depths, and salinity affect the life of marine animals. True or false an atom of 90kr has a mass of 89.919517 amu. mass of1h atom = 1.007825 amu mass of a neutron = 1.008665 amu calculate the binding energy in mev per atom. (value 1) What were results of the population explosion in China during the 20th century?Select all that apply.low standard of livingfamine from lack of foodoutbreaks of deadly diseasesviolence against wealthy Chinese while treating a pregnant patient in cardiac arrest, which of the following is the best way to keep the fetus alive? "Human rights violations in relation to safe and healthy living" Please use the numbering and mark allocation to guide your response= 1.1. Define the term "Human rights violations". (2 1.2. Name the public holiday observed on 21 March? 1.3. Discuss the purpose of the public holiday observed on 21 March. .4. As a responsible South African citizen that uses various forms of Media, provide the theme/focus of 21st March 2023 celebration. (2 according to research from the ethics resource center (erc), organizational culture is most influential in shaping the ethical conduct of individual employees.T/F In the solvolysis of 2-chloro-2-methylpropane, some di-t-butyl ether is formed. Explain this phenomenon in your own words and show the reaction sequence that represents this, starting with your starting materials. Star A and star B appear equally bright, but star A is twice as far from us as star B. Which of the following is true?a. Star A is twice as luminous as star Bb. Star A is four times as luminous as star Bc. Star B is twice as luminous as star Ad. Star B is four times as luminous as star Ae. Star A and star B have the same luminosity because they have the same apparent brightness The velocity of a car is f(t)=7tmeters/second. Use a graph of f(t)to find the exact distance traveled by the car, in meters, from t=0to t=10seconds. Popular designs by couture and other high fashion designers that have been copied at lower prices are called ___________ 5 paragraphs of space race essay argumentative with evidence to support settings situations and symbols that convey multiple meanings are known as