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
wolverine [178]
3 years ago
10

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
MaRussiya [10]3 years ago
8 0
Answer: {2, -2, -6, -10}

Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.

To break it down:

The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:

-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2

Therefore does not follow the definition of an arithmetic sequence.

The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.

Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.

I hope this helped!
You might be interested in
Find the real number between 6 4/9 and 6 8/9.<br><br> Can someone please help me?
KonstantinChe [14]

I am not completely sure but 2.7 because I subtracted the 6 8/9 by 6 4/9 and got 8/3 which then I dived and got 2.66666666666667

7 0
3 years ago
PLEASE HELP QUICKLY !!!!!!Select all the expressions that are equivalent to 78.7.
Anni [7]

Answer: 7^18/7^9, (7^3)^3 & 7^4 * 7 ^ 5.

The second, third & last options are the answers

These equations equal 40,353,607 btw

5 0
3 years ago
The quick computing company discovered that it costs 45$ to produce 2 calculators, 143$ to produce 4 calculators,and 869$ to pro
telo118 [61]
<span>Using the points (2, 45) (4, 143) and (10, 869), we can plug them into the following system of 3 equations using the y = ax^2 + bx + c format:

45 = a(2)^2 + b(2) + c
143 = a(4)^2 + b(4) + c
869 = a(10)^2 + b(10) + c

which simplifies to:

45 = 4a + 2b + c
143 = 16a + 4b + c
869 = 100a + 10b + c

Solving the system, we get a = 9, b = -5, and c = 19. Thus the equation is:

c(x) = 9x^2 - 5x + 19

If you have a TI graphing calculator, you can also enter the points by pressing Stat -> Edit and enter (2, 45) (4, 143) and (10, 869) into it. Go back and calculate the QuadReg of the points from the Calc tab and it will give you the same answer.

Now that we know the function that will produce the price of production for any number of calculators, plug in x = 7 and it will give you the price to produce 7 calculators.

c(x) = 9x^2 - 5x + 19
==> c(7) = 9(7)^2 - 5(7) + 19
==> c(7) = 441 - 35 + 19
==> c(7) = 425

Therefore, it costs $425 to produce 7 calculators.

Hope this helps.

</span>
6 0
4 years ago
A chef in the Navy earns $48000 annually. Find their semi-monthly pay.
umka2103 [35]

Answer:

48000/12

Step-by-step explanation:

then /2 is the semi monthly pay

8 0
2 years ago
Plz help!!!!! For 30 pts! Questions 18,19, and 20!!!
antoniya [11.8K]
18. 6.5 meters of ribbon
19. 11.6 gallons of gas
20. 5 weeks
8 0
3 years ago
Read 2 more answers
Other questions:
  • 5x plus 8=3x minus 3 solve for x
    11·1 answer
  • What is the absolute value for 24.5
    15·2 answers
  • Factorize the following algebra expression:<br>27x^3+8y^6​
    5·1 answer
  • [(25 - 11) + (15-9)] *5
    5·2 answers
  • Analyze the diagram below and complete the instruction that follow.
    13·2 answers
  • How to solve 5s+7−2s=16
    8·2 answers
  • Pls answer ASAP SOLVE THE TOTOAL SURFACE AREA OF A PIPE OF R2 =4 R1-2 H=10 PLS FIND S
    6·1 answer
  • Find the standard deviation of the data set shown. Round your answer to the nearest tenth.
    9·2 answers
  • What is the compound inequality?
    6·1 answer
  • Evaluate.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!