Understanding Arithmetic Sequences

The video tutorial covers the differences between geometric and arithmetic sequences. It begins with a review of geometric sequences, focusing on the concept of a common ratio. The tutorial then introduces arithmetic sequences, explaining the use of a common difference. Several examples are provided to illustrate how to find the common difference in arithmetic sequences. The video also includes practice problems and advanced examples, such as filling in missing numbers in sequences.

What is the main difference between a geometric sequence and an arithmetic sequence?

• Geometric sequences use addition, arithmetic sequences use multiplication.

• Geometric sequences are always increasing, arithmetic sequences are always decreasing.

• Geometric sequences use a common ratio, arithmetic sequences use a common difference.

• Geometric sequences have a variable difference, arithmetic sequences have a constant ratio.

How do you find the common difference in an arithmetic sequence?

• Divide the second term by the first term.

• Add the first term to the second term.

• Multiply the first term by the second term.

• Subtract the first term from the second term.

In the sequence 1, 4, 7, 10, what is the common difference?

• 3

• 4

• 5

• 2

If the sequence is 14, 8, 2, -4, what is the common difference?

• 4

• -4

• -6

• 6

What is the common difference in the sequence 3, 8, 13, 18?

• 4

• 5

• 7

• 6

In the sequence -3, -10, -17, -24, what is the common difference?

• -5

• -6

• -7

• -8

If you have a sequence starting with 19 and 16, what is the common difference?

• 5

• 3

• 4

• 2

In the sequence 9, _, 3, 0, -3, what number should fill the blank?

• 9

• 8

• 6

• 7

What is the missing number in the sequence 7, 16, 25, _, 42?

• 34

• 35

• 33

• 32

In the sequence 49, _, 35, 28, what is the missing number?

• 42

• 44

• 46

• 40