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25 votes
Which of the following is an arithmetic sequence with a common difference of +3?

Question 6 options:

A)

4, 7, 10, 13, ...

B)

1, 3, 9, 12, ...

C)

17, 14, 11, 8, ...

D)

12, 15, 19, 24, ...

2 Answers

3 votes

Final answer:

Option A) 4, 7, 10, 13, ... is the correct arithmetic sequence with a common difference of +3. Each term increases by 3 from the previous term.

Step-by-step explanation:

The question asks to identify an arithmetic sequence with a common difference of +3.

By definition, in an arithmetic sequence, the difference between any two successive terms is constant, known as the common difference.

Option A) 4, 7, 10, 13, ... is the correct arithmetic sequence.
The difference between each term is:
7 - 4 = 3
10 - 7 = 3
13 - 10 = 3
As we can see, each term is 3 more than the previous one, which indicates a common difference of +3.

Therefore, the sequence in Option A is the correct answer.

User Lkq
by
4.0k points
7 votes

Answer:

A

Step-by-step explanation:

10-7= 7-4= 3

That's it!

User Aschepis
by
4.6k points