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
kvasek [131]
3 years ago
7

WILL GIVE BEST RESPONSE

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1, 
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
You might be interested in
I need to solve this system of equations, how do I do that?<br> 3x-4y=20<br> y=3/4x-5
Paha777 [63]

Answer:

Is is Infinitely many solutions so 0=0

<em><u>Step-by-step explanation:</u></em>

<h3>First we have to rearrange/simplify the equations:</h3>

Equation 1: 4y - 3x = -20

Equation (2):  y - 3x/4  = -5

<h3>Then you remove the fractions by multiplication: </h3>

Multiply equation (2) by 4

<h3>The Equations now look like this: </h3>

Equation 1: 4y - 3x = -20

Equation (2): 4y - 3x = -20

<h3>Solve for y on Equation (2):</h3>

y = <u><em>3x/4 - 5</em></u>

<h3>Then plug in this for the y in Equation 1 and then solve:</h3>

4•(<u><em>3x/4-5</em></u>) - 3x = -20

Therefore the answer leads to:

Infinitely many solutions, 0=0

Hope this helped :')

4 0
2 years ago
What is the difference of 2/4 and 1/3?​
ss7ja [257]

Answer:

2/4-1/3= 6/12-4/12

=2/12

=1/6

5 0
2 years ago
Read 2 more answers
Help asap will give brainliest to whoever answer's correctly.
nydimaria [60]

Answer:

cant see the image

Step-by-step explanation:

8 0
2 years ago
Math word problem we need help?
aliina [53]

The total profit is :$37.46. Number of boxes for pop B to purchase more is 56 boxes.

Step-by-step explanation:

1.

Pop B number =36

Remaining Pop B after meeting = 36-17 =19

Amount obtained after selling remaining Pop B = 19* 0.75 = $14.25

Pop A number =75

Remaining Pop A after meeting = 75-8 =67

Amount obtained after selling pop A = 67*0.5 =$33.5

Profit in Pop B = $14.25-$3.79 =$10.46

Profit in Pop A =$33.5 -$6.50 = $27

Total profit after sell of Pop A and B = $10.46+$27 = $37.46

2.

The target profit is $250

Subtracting profit meet = $250 - $ 37.46 =$212.54

Profit to be attained by the sell of pop B only should be =$212.54

Selling price of pop B per box is $3.79

Number of boxes for pop B to purchase more will be;

$212.54/ $3.79 = 56.08 ⇒ 56  more boxes

Learn More

To find profit from selling price ;brainly.com/question/927518

Keywords ; pop, profit, goal, more boxes, sale price , brand

#LearnwithBrainly

5 0
3 years ago
Urgent help needed plz.
madreJ [45]
There are 6 letters in the word "autumn" so 
6! = 6*5*4*3*2*1 = 720
represents the number of ways to arrange the letters (order matters)

Note how there are two letter "u"s here which can't be told apart. If we could tell them apart, then the answer would be 720. However, we can't tell them apart. So we're doubly counting things. To undo this, we divide by 2

720/2 = 360

------------------------------------------------

Final Answer: 360
7 0
3 years ago
Other questions:
  • The side of a ramp is triangle. The hypotenuse has a length of 11.1 feet, and the other 2 sides have lengths of 11 feet and 1.5
    13·2 answers
  • LESSON 2-1 PRACTICE
    13·1 answer
  • Hurry please! The table shows the results of a survey about favorite movie theater snacks.Write a fraction in simplest form that
    9·1 answer
  • Write 11•47 using the distributive property. Then simplify.
    15·1 answer
  • *math please help brainliest*
    13·1 answer
  • What is the sum of 3/7, 4/5, and 2/3 round to two decimal places?​
    11·1 answer
  • Vaughn spent 3.5 hours at the pool over the past week. If he spent an equal amount of time over the last 7 days, how much time d
    12·2 answers
  • If Q1=5 and Q3=15, what is the Interquartile range (IQR) and what does it tell you about the data?​
    6·1 answer
  • Which isa zero of the quadratic function f(x) = 4x + 24x + 11?
    6·2 answers
  • Money in a particular savings account increases by about 6% after a year how much money will be in the account after one year if
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!