How do you tell if a sequence is arithmetic??

Then I will answer my questions below:

1. Tell whether the sequence is arithmetic. If it is, Identify the common difference.

-7, -3, 1, 5

A. Not arithmetic
B. Arithmetic, common difference is 4
C. Arithmetic, common difference is 8
D. Arithmetic, common difference is 7

2. Tell whether the sequence is arithmetic. If it is, Identify the common difference.

-9, -17, -26, -33

A. Not arithmetic
B. Arithmetic, common difference is 8
C. Arithmetic, common difference is 9
D. Arithmetic, common difference is 7

3. Tell whether the sequence is arithmetic. If it is, Identify the common difference.

19, 8, -3, -14

A. Not arithmetic
B. Arithmetic, common difference is -11
C. Arithmetic, common difference is 5
D. Arithmetic, common difference is 17

4. Tell whether the sequence is arithmetic. If it is, Identify the common difference.

1/2, 1/3, 1/4

A. Not arithmetic
B. Arithmetic, common difference is 1/6
C. Arithmetic, common difference is 2/3
D. Arithmetic, common difference is 1

1. C

2. D
3. A
4. D
5. A
6. B
7. C
8. D
9. C
10. C

@TrueAnswers, You got one wrong. Look, PersonWho'sReadingThis...You don't have to trust me. And chances are, you don't. But I'm looking at the test right now, and here are the real answers. (keep in mind that these may change if the teacher switches it up a year from now or something. But as of the moment, these are the answers. Thank you)

C,
D,
A,
D,
B,
A,
B,
A,
C,
C

Have a wonderful day, Connexus Students.

Okay Everyone if you take Anonymous Answers u will get a 60%. I checked his answers.

Answers: For Connections Academy Arithmetic Sequences Practice.
1. C
2. D
3. A
4. D
5. NOT A its B
6. NOT B its A
7. NOT B its C
8. NOT D its A
9. C
10. C 100%

Twenty One Co-Pilots is 100% correct! Thank You So Much!!!

A sequence is arithmetic if the difference between consecutive numbers is always the same

So for #1
2nd - 1st = -3 - (-7) = 4
3rd - 2nd = 1 - (-3) = 4
4th = 3rd = 5 - 1 = 4

Yes, it is arithmetic

Use the same method for the others.

yes because is not know

To determine whether a sequence is arithmetic, you need to check if there is a constant difference between consecutive terms. Here's how you can approach each of the given sequences:

1. For the sequence -7, -3, 1, 5, you can observe that each term increases by 4 compared to the previous term. Therefore, the sequence is arithmetic, and the common difference is 4. The answer is B. Arithmetic, common difference is 4.

2. In the sequence -9, -17, -26, -33, there is no constant difference between consecutive terms. For example, -9 to -17 is a difference of 8, but -17 to -26 is a difference of 9. Since the sequence does not have a constant difference, it is not arithmetic. The answer is A. Not arithmetic.

3. Looking at the sequence 19, 8, -3, -14, you can observe that each term decreases by 11 compared to the previous term. Therefore, the sequence is arithmetic, and the common difference is -11. The answer is B. Arithmetic, common difference is -11.

4. In the sequence 1/2, 1/3, 1/4, there is no constant difference between consecutive terms. For example, 1/2 to 1/3 is a difference of 1/6, but 1/3 to 1/4 is a difference of 1/12. Since the sequence does not have a constant difference, it is not arithmetic. The answer is A. Not arithmetic.

Anonymous- I don't know if you are 100% right yet but I will see when I can.

1. Yes

2. No
3. No
4. No