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
Ksivusya [100]
4 years ago
9

Prove that 3n< n! if n is an integer greater than 6.

Mathematics
1 answer:
Lera25 [3.4K]4 years ago
4 0
Let n=7. Then

3(7)=21

Assume the inequality holds for n=k, so that 3k. Then for n=k+1, you have, for k>7,

3(k+1)

so the statement is true.
You might be interested in
Determine whether the series converges or diverges <br> Please, check the image
bagirrra123 [75]

The series as represented in the task content is divergent and hence; diverges.

<h3>What convergence and divergence in series?</h3>

It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.

It is noteworthy to know that;

If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.

Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.

Read more on convergence and divergence of series;

brainly.com/question/28169281

#SPJ1

5 0
1 year ago
It is well known that Pedro won an award for his 270 popular songs. What is less well known, however, is that he wrote a total o
Norma-Jean [14]

Answer:

471

Step-by-step explanation:

741-270=471

7 0
2 years ago
8. Three groups of 10 kids. The average weight of a kid in each
sammy [17]

Answer: 385

Step-by-step explanation:

Mean the three groups of 10 kids=35

Total weight of 3 groups (10x35)=350

Mean weight of 3 groups and one boy  ( 35 + 350)=385

5 0
3 years ago
I'm making a table.
Ivenika [448]
Well I think I can help you out ...
if you assume input x=2
the output will be as following :
y= -1/3(2)+2
=-2/3+2
=-2/3+6/3
=(-2+6)/3
=4/3
=1.333
3 0
4 years ago
In the xy-plane, what is the y-intercept of the graph of the equation y = square root of 4-x
Tpy6a [65]
The answer is C your welcome Gn
8 0
3 years ago
Other questions:
  • What is the explicit formula for this geometric sequence?<br><br>8,4,2,1
    13·1 answer
  • Please help me with this question
    9·1 answer
  • Simplify the expression x^-4×y^3×x^4×y^2.
    14·1 answer
  • What is the probability of picking a 3 out of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
    14·2 answers
  • Solve (round to two decimal places) <br><br> can someone please help me!
    7·1 answer
  • Translate the sentence into an equality <br><br> The quotient of y and 5 is at most 22. <br> Thanks!
    15·1 answer
  • What is the sum of 12 1/4and it’s additive inverse ?
    13·1 answer
  • A and B start toward each other at the same time from points 150 miles apart.
    12·1 answer
  • What is the approximate volume of a cylinder with a diameter of 28 ft and height of 20 ft? Use 3.14 to approximate π , round to
    12·1 answer
  • The product of seven and the number m<br><br>translate into an algebraic expression please
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!