Common Difference in Arithmetic Sequences

This video tutorial explains the concept of common difference in arithmetic sequences. It demonstrates how to calculate the common difference by subtracting a term from the preceding term. The tutorial provides four examples, each illustrating the process of finding the common difference in different sequences. The video concludes with a summary of the key points discussed.

What is the role of the common difference in an arithmetic sequence?

• It determines the first term.

• It determines the last term.

• It determines every successive term.

• It determines the sum of the sequence.

How can the common difference be found in an arithmetic sequence?

• By multiplying two consecutive terms.

• By subtracting a term from the next term.

• By dividing a term by the next term.

• By adding two consecutive terms.

In Example 1, what is the common difference of the sequence?

• 3

• 1

• 4

• 2

In Example 2, what is the common difference of the sequence?

• 3

• 1

• 2

• 4

In Example 3, what is the common difference of the sequence?

• 3

• 4

• 2

• 1

In Example 4, what is the common difference of the sequence?

• -2

• -1

• 1

• 0

In Example 5, what is the common difference of the sequence?

• -1

• 1

• 0

• -2

What happens when you subtract a negative number from another negative number?

• The result depends on the numbers.

• The result is zero.

• The result is always negative.

• The result is always positive.

What is the common difference if the sequence is 5, 6, 7, 8?

• 2

• 4

• 1

• 3

If a sequence has a common difference of -3, what happens to the terms?

• They increase by 3.

• They remain constant.

• They alternate between increasing and decreasing.

• They decrease by 3.