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
gizmo_the_mogwai [7]
2 years ago
11

D(1) = 1,d(n) = n.d(n-1) for n ≥ 2

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
3 0

Assuming you're solving for d(n), we have by substitution

d(n) = n d(n-1) \implies d(n-1) = (n-1) d(n-2) \\\\ ~~~~ \implies d(n) = n(n-1)d(n-2)

d(n) = n d(n-1) \implies d(n-2) = (n-2) d(n-3) \\\\ ~~~~ \implies d(n) = n(n-1)(n-2)d(n-3)

d(n) = n d(n-1) \implies d(n-3) = (n-3) d(n-4) \\\\ ~~~~ \implies d(n) = n(n-1)(n-2)(n-3) d(n-4)

and so on. After k iterations of this, we have the pattern

d(n) = n(n-1)(n-2)\cdots(n-(k-3))(n-(k-2))(n-(k-1)) d(n-k)

so that after k=n-1 iterations,

d(n) = n(n-1)(n-2)\cdots(n-(n-3))(n-(n-2)) d(n-(n-1)) \\\\ ~~~~= n(n-1)(n-2)\cdots3\cdot2\,d(1) \\\\ ~~~~ = \boxed{n!}

You might be interested in
What do a decimal number and a thumbtack have in common?
Maslowich
<span>They both have a point!

Hope I Helped You!!! :-)

Have A Good Day!!!</span>
8 0
3 years ago
Hello i need the answer what is the product of 15/16
Afina-wow [57]

Answer:

The product is 240.

Step-by-step explanation:

The product is always when you multiply numbers together.

5 0
2 years ago
Read 2 more answers
PLEASEEE HELPPPP!!!!!!!!!skkaksks
Vesnalui [34]

Step-by-step explanation:

  1. (√3+√7)(√3+√7)
  2. (√3)^2+[(√3*√7)+(√3*√7)]+(√7)^2
  3. 3+2√21+7
  4. 10+2√21
6 0
2 years ago
Hellppp meeeee PLEASEEEEE...
bonufazy [111]

Step-by-step explanation:

9.2 < 3x = 21.25

3x = 21.25 - 9.2

3x = 12.05

x = 18.2

3 0
3 years ago
Read 2 more answers
Question 6(Multiple Choice Worth 1 points) (06.01 LC) Choose the correct classification of 5x + 2x2 − 8 by number of terms and b
Yakvenalex [24]

Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)

Answer:

7. 6x³ - 12x² + 12x + 15

Step-by-step explanation:

(3x-6)(2x² - 4x - 5)

3x • 2x² = 6x³

3x • -4x = -12x²

3x • -5 = -15

-6 • 2x² = -12x²

-6 • -4x = 24x

-6 • -5 = 30

combine terms

6x³ - 12x² - 15 - 12x² + 24x + 30

combine like terms

6x³ - 24x² + 24x + 15

hope this helps :)

in the future, only ask one question per brainly submission. thanks!

7 0
3 years ago
Other questions:
  • Which scatterplot correctly represents the table of values below? Number of years collecting stamps Number of stamps in collecti
    6·2 answers
  • Im confused, please helpp?
    6·2 answers
  • The parent function f(x) = x3 is transformed to g(x) = (x – 1)3 + 4. Identify the graph of g(x).
    5·2 answers
  • Factor the expression using the GCF. The expression 21m−49n factored using the GCF is...
    6·2 answers
  • The scale factor of rectangle JKLM to rectangle QRST
    13·2 answers
  • Qual a velocidade média de um carro que percorreu 75km em 3h?<br> Vm = d<br> t
    13·1 answer
  • Please show work i rlly need this :)
    14·2 answers
  • Arthur's dog, Shep, had to go on a diet. After three months of dieting, Shep had lost 16% of his weight, which was 24 pounds. Ho
    14·1 answer
  • PLZ HELP————————-///
    12·1 answer
  • I need help plssss :)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!