What is an arithmetic sequence

The video tutorial explains what an arithmetic sequence is, highlighting that it is a set of numbers with a constant difference between consecutive terms. It can be finite or infinite. Examples such as 1, 2, 3, 4, 5 and 5, 10, 15, 20, 25 are provided to illustrate the concept. The tutorial defines the common difference, denoted as D, and shows how to verify if a sequence is arithmetic by checking if the difference between terms is consistent. The video concludes with a demonstration of proving a sequence is arithmetic using specific examples.

What is an arithmetic sequence?

• A set of numbers with a random pattern

• A set of numbers with a consistent pattern

• A set of numbers with decreasing values

• A set of numbers with no pattern

Which of the following is an example of an arithmetic sequence?

• 1, 1, 2, 3

• 5, 10, 15, 20

• 2, 4, 8, 16

• 1, 3, 6, 10

How is an arithmetic sequence defined?

• By the sum of its terms

• By the ratio of its terms

• By the product of its terms

• By the common difference between terms

What must be true for a sequence to be considered arithmetic?

• The ratio of terms must be constant

• The product of terms must be constant

• The difference between consecutive terms must be constant

• The sum of terms must be constant

In the sequence 5, 10, 15, 20, what is the common difference?

• 5

• 4

• 3

• 2