1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spin [16.1K]
4 years ago
12

Find a closed form for Sn = 1 *1!+2*2!+...+n*n! for integer n>=1 Your response should have a factorial.

Mathematics
1 answer:
pantera1 [17]4 years ago
6 0
Hello,

x_{1} =1*1!=1\\
 x_{2} =2*2!=4\\
 x_{3} =3*3!=18\\
 x_{4} =4*4!=96\\

 S_{1} = x_{1}=1=2!-1\\
 S_{2} = x_{1}+x_{2}=1+4=5=3!-1\\
 S_{3} = x_{1}+x_{2}+x_{3}=5+18=23=4!-1\\
 S_{4} = x_{1}+x_{2}+x_{3}+x_{4}=23+96=119=5!-1\\

 \boxed{S_{n} = (n+1)!-1}\\



You might be interested in
What is 4 times as much as 20.075? show work
choli [55]

Answer:

80.3

Step-by-step explanation:

20.075 x 4 = 80.3

Hope that helps!

5 0
3 years ago
"A country has 50 million people, 30 million of whom are adults. Of the adults, 5 million are not interested in working, another
Pani-rosa [81]

Answer:

There are 20 million people in the labour force.

Step-by-step explanation:

There are 50 million people in the country.

30 million people are adults.

Out of the 30 million, 5 million are not interested in working. Assuming every adult does what he/she wants, then these 5 million are not working. The list then reduces to

30 - 5 = 25 million.

Another 5 million are interested in working but have given up looking for work. The list reduces to

25 - 5 = 20 million.

5 million people are working part time but would like to work full time. They are working, it doesn't matter if it is part time or full time, they are in the labour force.

10 million people are working full time. They are also in the labour force.

THERE ARE 20 MILLION PEOOLE IN THE LABOUR FORCE

3 0
4 years ago
PLEASE help ASAP.
nevsk [136]
$9.50 I believe, I hope this helps !
4 0
3 years ago
Hurry plz help plz don't do this for the points i will mark brainliest if given correct answer. For this item, complete the choi
cricket20 [7]

Answer:

m<v' is 133 m<x' is 102 m<y' is 136

Step-by-step explanation:

when reflecting the shape doesn't change shape or size so the angle measure will stay the same

6 0
3 years ago
A woman bought a number of items for $24. She realized that if she had bought 4 more items for
Roman55 [17]

Answer:

The woman bought 2 items at $12 each.

Step-by-step explanation:

Given that a woman bought a number of items for $ 24, and she realized that if she had bought 4 more items for the same money, she would have paid $ 8 less per item, to determine how many Items did she buy the following calculation must be done:

X = 24

X + 4 = 24

24/2 = 12

24/6 = 4

12 - 4 = 8

Therefore, the woman bought 2 items.

3 0
3 years ago
Other questions:
  • $100.00 loan payable in two weeks at $104.50. what is the percent of interest paid on this loan?
    6·2 answers
  • How to solve sin 2/3
    13·1 answer
  • BC ___ AC<br><br> Choose the relationship symbol that makes the statement true.
    9·2 answers
  • What is the area of a rectangle with a length of 3.2 cm and a width of 6.8 cm?
    15·1 answer
  • Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?​
    10·1 answer
  • Which number line plots the integers –6, –2, and 5?
    13·1 answer
  • Abel says (62)3 = 65. Is he correct?
    15·1 answer
  • Which choice is equivalent to the quotient below square root 32/ square root 8
    11·2 answers
  • Which equation describes the line that contains (1,5) and has a slope of 2?
    7·1 answer
  • 2x + 9 + 7x --- What is/are the variable(s)?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!