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
Brums [2.3K]
3 years ago
12

Mathematics Inclined Week #1: Difficult Category

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0
Let n=1. Then the statement says

1(1!)=1
(1+1)!-1=2!-1=2-1=1

so it holds for the base case.

Assume it holds for n=k, i.e. that

1(1!)+2(2!)+3(3!)+\cdots+k(k!)=(k+1)!-1

and use this to show it holds for n=k+1. You have

1(1!)+2(2!)+\cdots+k(k!)+(k+1)(k+1)!=(k+1)!-1+(k+1)(k+1)!
=(k+1)!(1+k+1)-1
=(k+1)!(k+2)-1
=(k+2)!-1

which is what you needed to show, so the statement is true.
You might be interested in
Select the correct statement
mr_godi [17]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Which equation has a constant of proportionality equal to 9 y=81/3x y=9x y=3x y==1/9x
aev [14]

Answer:

B)  y = 9 x has Proportionality Constant = 9

Step-by-step explanation:

Two quantities P and Q are said to be PROPORTIONAL if and only if:

P ∝ Q ⇔  P  = k Q    ⇔ k = \frac{P}{Q}

Here, k = PROPORTIONALITY CONSTANT

Given : k = 9

Now, let us consider the given expressions in which  x ∝y

y  = 81/3 x

Here, \frac{y}{x} = \frac{81}{3}  = 27 \ne 9

So, here Proportionality Constant ≠ 9

y = 9 x

Here, \frac{y}{x} =  9

So, here Proportionality Constant = 9

y = 3 x

Here, \frac{y}{x} =  3 \ne 9

So, here Proportionality Constant ≠ 9

y  = 1/9 x

Here, \frac{y}{x} =  \frac{1}{9}  \ne 9

So, here Proportionality Constant ≠ 9

Hence, only y = 9 x has Proportionality Constant = 9

8 0
3 years ago
What is the probability of not drawing a green marble?<br><br> 75%<br> 60%<br> 2/3<br> 4/5
chubhunter [2.5K]

Answer:

75 %

15 ÷ 20 = 0.75

0.75 × 100 = 75%

hope it helps!

4 0
3 years ago
(WILL MARK BRAINIEST PLEASE ASSIST) Define the inverse secant function by restricting the domain of the secant function to the i
Svetradugi [14.3K]

Answer:

  see the attachment

Step-by-step explanation:

The graph attached shows the secant function in red. The restriction to the interval [0, π/2] is highlighted by green dots, and the corresponding inverse function is shown by a green curve.

The restriction to the interval [π/2, π] is highlighted by purple dots, and the corresponding inverse function is shown in purple.

The dashed orange line at y=x is the line over which a function and its inverse are mirror images of each other.

5 0
3 years ago
5(3 - x) &lt; -2x + 6 what inequality
blagie [28]
The answer is x < 11/5
8 0
2 years ago
Other questions:
  • PLEASE SOMEONE HELP ME ON THIS<br><br><br> thx Brainliest is available if 2 ppl answer correctly
    12·1 answer
  • 2x+4(2x+7)=3(2x+4)<br> What is x
    11·2 answers
  • Limit as x approaches 0 of csc3x/cotx
    6·1 answer
  • 5(3x + 9) – 2x = 15x – 2(x - 5)
    14·1 answer
  • An ant on the ground is 22 feet from the foot of a tree. She looks up at a bird at the top of the tree, and her line of sight ma
    12·1 answer
  • Please help I will give brainlist​
    5·2 answers
  • Is ABSE- ATES? If so, identify the similarity postulate or theorem that
    7·1 answer
  • A line passes through the point (2,3) and has a slope of -2. Which is the equation of the line in point-slope form?
    14·1 answer
  • What is the sound intensity of a noise that is 130 dB
    6·2 answers
  • Please answer this question correctly and i'll mark you as brainlilest! Thank you.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!