107k views
19 votes
Which sequence is an example of an arithmetic sequence

Which sequence is an example of an arithmetic sequence-example-1

1 Answer

6 votes

Answer:

Only the third sequence is arithmetic

Explanation:

If the sequence has a common difference, then it is arithmetic. To find the common difference, substract a term from the next term.

First sequence:

10 - 20 = -10 5 - 10 = -5 The differences are not the same, so the sequence is NOT arithmetic

Second sequence:

-6 - (-3) = -3 -18 - (-6) = -12 The differences are not the same, so the sequence is NOT arithmetic

Third sequence:

10 - 5 = 5 15 - 10 = 5 20 - 15 = 5 The differences are the same, so the sequence is arithmetic

Fourth sequence:

10 - 5 = 5 20 - 10 = 10 The differences are not the same, so the sequence is NOT arithmetic

User Surajeet Bharati
by
6.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.