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
kati45 [8]
3 years ago
8

Provide a recursive definition of the function f(n) = (n+1)!.

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

See definition below

Step-by-step explanation:

Since we have to give a recursive definition, we must give a initial value f(0). Additionally, the value of f(n) must depend on the value of f(n-1) for all n≥1.

The required value of f(0) is (0+1)!=1!=1.

Now, the factorial itself is a recursive function, because (n+1)!=(n+1)n!. In terms of f, this means that f(n)=(n+1)f(n-1) for all n≥1.

Then, our definition is: f:N→N is defined by

  1. f(0)=1.
  2. For n≥1, f(n)=(n+1)f(n-1).
You might be interested in
Z wants to buy five shirts worth 34 dollars each and three baseball caps worth 31
ella [17]

Answer:

$199.50

Step-by-step explanation:

10% discount of $34 = 10/100*34 = $3.40

so, a single shirt costs $34-$3.40 = $30.60

half off = 50% discount of $31 = 50/100*31 = $15.50

so, a single cap costs $31-$15.50 = $15.50

so, 5 shirts and 3 caps cost now

5*$30.60 + 3*$15.50 = $153 + $46.50 = $199.50

but careful - can this be a trick question ?

the phrasing of the problem description can also suggest that the discounts are only listed to confuse us and are already included in the mentioned prices ("worth" $34 - what does that mean ? because including the discounts they are currently "worth" their prices).

then it would just plainly be

5*$34 + 3*$31 = $170 + $93 = $263

4 0
3 years ago
Find the volume of the figure below. Leave answer in terms of t. Round to the nearest hundredth if necessary.
Vinil7 [7]

Answer:

36π

Step-by-step explanation:

d= 6 in

r= d/2=6/2= 3 in

volume of sphere= 4/3πr^3

=4/3 ×π×3^3

=36π in^3

8 0
2 years ago
Which of the following polygons is not a regular polygon?
Shkiper50 [21]

Answer:

b

Step-by-step explanation:

polygons is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit

6 0
2 years ago
NEED HELP ASAP
antoniya [11.8K]

answer= x=20

Step-by-step explanation:

We have, 35% × x = 7

or,  

35

100

× x = 7

Multiplying both sides by 100 and dividing both sides by 35,

we have x = 7 ×  

100

35

x = 20

If you are using a calculator, simply enter 7×100÷35, which will give you the answer.

5 0
2 years ago
Read 2 more answers
Elsa went for a drive in her new car. She drove 345.6 miles at a speed of 54 miles per hour. For how many hours did she drive
Kitty [74]

Answer:

6.4

Step-by-step explanation:

You could use a calculator

Or....

Do 345.6/54 and get 6.4

6 0
3 years ago
Other questions:
  • What is 14 2/3 divided by 2 3/4
    8·2 answers
  • Unit price for 3 1/4 yards for 13$
    9·1 answer
  • Roman mixes 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution. Find the number of lit
    14·1 answer
  • ABC is a straight line
    6·1 answer
  • HELLLP PLSsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
    8·2 answers
  • 295 words in 6 minutes ; What are the words/min.? (round to the nearest tenth)
    11·2 answers
  • In degree measure, the angles pie/3, pie/4, and pie/2 are respectively
    11·1 answer
  • Please do it step by step!
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bt%7D%7B6%7D%20%5C%20%20%5Ctextgreater%20%5C%20-7" id="TexFormula1" title="\frac{t}{6
    15·2 answers
  • 372.2 is what percent of 642
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!