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
jekas [21]
2 years ago
8

The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next tw

o terms is a multiple of 3, no matter what the value of m. ​
Mathematics
1 answer:
Igoryamba2 years ago
4 0

Answer:

S

ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .

Step-by-step explanation:

You might be interested in
70% of the days in june were sunny ow many days are sunny?
xxTIMURxx [149]
June has 30 days

so 70% of 30 were sunny

0.70(30) = 21 days <==
7 0
3 years ago
Read 2 more answers
Simplify 23p-7p what is the answer to the question which I desire
marysya [2.9K]

Answer:

16p

Step-by-step explanation:

23p-7p

Factor out p.

p(23-7)

Subtract the terms.

p(16)

Multiply.

= 16p

4 0
3 years ago
Peter has a set of polygonal tiles, where all the polygons are regular and have the same side length. He find that two pentagons
maxonik [38]

Answer:

24 sides

Step-by-step explanation:

Angle at a point = 360°

To find the number of degrees in each interior angle of a regular polygon, we make use of

180(n - 2)/n

There are 8 sides in a regular octagon,

Each interior of a regular octagon= 180(8-2)/8

= 6 * 180/8

= ¾ * 180

= 135°

The interior angle of a regular triangle (equilateral triangle) is 60°

The interior angle of the regular n-gon is given by

360° - 135 - 60°

= 165°

Since the interior angle is 165°

Then

180(n - 2)/n = 165 for the regular n-gon

Solving for n

Multiply both sides by n

180(n - 2) = 165n ------ Open the bracket

180n - 360 = 165n ----- Collect Like Terms

180n - 165n = 360

15n = 360 ----- Divide both sides by 15

n = 360/15

n = 24

Thus, the number of sides of the regular n-gon is 24

4 0
3 years ago
If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many p
Finger [1]

Answer: C  12

Step-by-step explanation:

ALL possible outcomes

1 tails

2 tails

3 tails

4 tails

5 tails

6 tails

1 Heads

2 Heads

3 Heads

4 Heads

5 Heads

6 Heads

so its 12 total outcomes

3 0
3 years ago
On a coordinate plane, point A is at (negative 1, 3), point B is at (negative 1, negative 3), point C is at (3, negative 3), and
natka813 [3]

Answer:

It is a Quadralateral

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of three consecutive odd numbers is 111. What is the smallest of the three numbers? Please write an equation and show al
    11·1 answer
  • The result of a subtraction problem is called a quotient
    12·1 answer
  • Someone please help me on this question ?:)
    8·1 answer
  • Use the given information to determine which lines, if any , are parallel
    6·1 answer
  • $160/5 or $315/9 which is the better deal
    11·2 answers
  • Find the slope of the line for the equation 3y=4. Please explain
    6·1 answer
  • 31<br>Write as a mixed number.<br>Give your answer in its simplest form.​
    6·1 answer
  • Help its urgent!!!!!!
    9·2 answers
  • LeRoy cut a length of string into 30
    10·1 answer
  • Pls help (it is for a frend)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!