Learn how to find the common difference between an arithmetic sequence

The video tutorial explains how to determine if a sequence is arithmetic by checking if the difference between consecutive terms is constant. It uses a visual approach to demonstrate this concept, showing that if the common difference is consistent, the sequence is arithmetic. The example provided illustrates a sequence with a common difference of 5, confirming it as an arithmetic sequence.

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

• Count the number of terms in the sequence.

• Verify if the sequence is geometric.

• Ensure the difference between terms is consistent.

• Check if the sequence is increasing.

How can you visually confirm that a sequence is arithmetic?

• By counting the number of terms.

• By ensuring the difference between terms is the same.

• By checking if the sequence forms a pattern.

• By plotting the sequence on a graph.

In the example provided, what is the common difference identified?

• 5

• 4

• 3

• 6

What does a common difference of 5 indicate about the sequence?

• The sequence is geometric.

• The sequence is arithmetic.

• The sequence is neither arithmetic nor geometric.

• The sequence is increasing by 10.

Why is it important to identify a common difference in a sequence?

• To calculate the sequence's sum.

• To find the sequence's midpoint.

• To determine the sequence's length.

• To confirm the sequence is arithmetic.