What is the definition of an arithmetic sequence

The video tutorial begins with a review of basic formulas, focusing on sequences and their applications. It then transitions into a discussion on arithmetic sequences, explaining how to identify them by examining the constant difference between consecutive terms. The tutorial emphasizes understanding the concept of arithmetic sequences and the importance of recognizing patterns in mathematical sequences.

What is the formula for the sequence introduced in the first section?

• a_n = n^2

• a_n = 2n + 1

• a_n = n - 1

• a_n = n + 1

In the second section, what is the main challenge discussed when working with sequences?

• Determining the sequence's limit

• Calculating the product of terms

• Identifying the rule from given terms

• Finding the sum of the sequence

What is the term used to describe the constant difference between consecutive terms in an arithmetic sequence?

• Product

• Difference

• Sum

• Ratio

Which of the following is a characteristic of an arithmetic sequence?

• The sum of terms is constant

• The difference between consecutive terms is constant

• The terms are divided by a constant

• The terms are multiplied by a constant

What happens if the difference between consecutive terms in a sequence is not constant?

• It is not an arithmetic sequence

• It becomes a harmonic sequence

• It becomes a geometric sequence

• It is still an arithmetic sequence