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
inessss [21]
3 years ago
14

Let the smallest of 4 consecutive odd numbers be 2 n + 1 , where n is an integer. Show, using algebra, that the sum of any 4 con

secutive odd numbers is always a multiple of 8. Give your answer as an expression that makes explicit that it is a multiple of 8.
Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:

Expression is 8(n+2)

Step-by-step explanation:

smallest of 4 consecutive odd numbers =2n + 1

consecutive odd integers are found by adding 2 to the any given odd numbers

Thus, 2nd consecutive odd integers  = 2n + 1 + 2 = 2n + 3

3rd consecutive odd integers  = 2n + 3 + 2 = 2n + 5

2nd consecutive odd integers  = 2n + 5 + 2 = 2n + 7

Thus, 4 consecutive odd integers are

2n + 1 ,2n + 3,2n + 5,2n + 7

sum of these numbers are = 2n + 1 +2n + 3 + 2n + 5+2n + 7 = 8n+16

sum of these numbers are = 8(n+2)

Thus, we see that the sum of numbers are 8(n+2)

As, 8 is common for n+2, whatever is value of n, the number will be multiple of 8 .

thus expression is 8(n+2)

You might be interested in
Which one doesn’t belong? Why? Explain. please help me
My name is Ann [436]

Hi! So, the one that doesn't belong is a) y = 4x.

I think that this doesn't belong because every other option has a number after the variable (I forget the exact term for it but it's like +7, +4, and -1 for the rest of the options)

Please let me know how I can further help you :)

(

5 0
3 years ago
Read 2 more answers
15X^2+20x factor greatest common monomial
velikii [3]
Both 15 and 20 can be divided evenly by 5, so 5 is the greatest common monomial:  5(3x^2 + 4x)  or  5x(3x + 4) 
4 0
3 years ago
1 yard =3 feet &amp; 1 foot = 12 inches <br><br>16 in= ?​
Aleksandr-060686 [28]

Answer:

IDK

Step-by-step explanation:

SKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSKSK

And I oooooooooooooooooooooooooooooop VSCO

3 0
3 years ago
Read 2 more answers
Cyclic quadrilateral.
ad-work [718]
What do you mean, you need more information in your queston p,ease try to ask it again, it makes no Sence
5 0
3 years ago
Read 2 more answers
Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 14% buy few
Bezzdna [24]

Answer:

There is a 4% probability that a customer buys three tires.

Step-by-step explanation:

We have those following percentages

60% buy four tires. This is also the probability that someone buys four tires.

22% buy two tires

14% buy fewer than two tires(one or none).

P% buy three tires

The sum of the percentages must be 100%.

So

60 + 22 + 14 + P = 100

96 + P = 100

P = 4

There is a 4% probability that a customer buys three tires.

8 0
3 years ago
Other questions:
  • Simplify (2 {sqrt 5}+ 3 {sqrt 7})^2. Show your work. Justify each step.
    14·1 answer
  • Which of the following describes the angle of rotation of a counterclockwise rotation?
    10·2 answers
  • Please help! Will mark brainliest ! Thank you! Please explain so I can actually understand the question too :)
    8·2 answers
  • Jessica's Furniture Store buys a couch at a wholesale price of $113.00dollar. If the markup rate at Jessica's Furniture Store is
    12·1 answer
  • Which expression is equivalent to 7/2x -3(5x -1/2)
    12·1 answer
  • Whats 47 plus 93? show your work and make sure to use an equation
    14·2 answers
  • Which relation is a function?<br> A: a circle <br> B: a Y<br> C: a C<br> D: a line
    5·1 answer
  • Is the point (3, 4) a solution to the equation 3y = 2x +6 ? Explain why using evidence from your work
    13·1 answer
  • Hey can you help me fast!!!
    7·1 answer
  • If each quadrilateral below is a square, find the missing measures<br><br>solve for X​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!