Math tutorial for how to find the common difference of a sequence

The video tutorial explains arithmetic sequences, focusing on the concept of a common difference. It begins with an introduction to arithmetic sequences, emphasizing the importance of having a consistent difference between terms. The tutorial then details how to calculate the common difference using examples, demonstrating that if the difference is consistent, the sequence is arithmetic. The video concludes by confirming the sequence as arithmetic with a common difference of five.

What is the key characteristic of an arithmetic sequence?

• The difference between consecutive terms is constant.

• The ratio between consecutive terms is constant.

• The sum of all terms is constant.

• The product of all terms is constant.

Which of the following is used to find the common difference in an arithmetic sequence?

• The difference between consecutive terms.

• The product of the first two terms.

• The sum of the first and last term.

• The ratio of the first and second term.

If the first term of an arithmetic sequence is 3 and the common difference is 5, what is the second term?

• 5

• 8

• 15

• 10

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

• 3

• 5

• 6

• 4

Which of the following sequences is arithmetic?

• 5, 10, 20, 40

• 2, 4, 8, 16

• 3, 6, 9, 12

• 1, 2, 4, 8