Understanding Arithmetic Sequences

The video tutorial explains how to determine if a sequence is arithmetic by checking if the difference between consecutive terms is constant. The instructor uses a visual approach to demonstrate this concept, providing an example where the common difference is 5, confirming it as an arithmetic sequence.

What is the first step in determining if a sequence is arithmetic?

• Verify if the sequence is geometric.

• Count the number of terms in the sequence.

• Check if the sequence is increasing.

• Ensure the sequence has a common difference.

How can you visually confirm that a sequence is arithmetic?

• By checking if the sequence forms a straight line.

• By ensuring each term is a multiple of the previous one.

• By confirming the difference between consecutive terms is constant.

• By counting the number of terms.

In the example provided, what is the common difference of the sequence?

• 4

• 3

• 6

• 5

What does a common difference in a sequence indicate?

• The sequence is geometric.

• The sequence is arithmetic.

• The sequence is random.

• The sequence is decreasing.

If a sequence has a common difference of 5, what can be concluded?

• The sequence is geometric.

• The sequence is arithmetic.

• The sequence is decreasing.

• The sequence is neither arithmetic nor geometric.