How to determine if a sequence is arithmetic or geometric

The video tutorial reviews arithmetic and geometric sequences, explaining how to identify each type. Arithmetic sequences have a constant difference between terms, while geometric sequences have a constant ratio. The tutorial provides examples to illustrate how to determine the type of sequence by checking differences and ratios.

What is the defining characteristic of an arithmetic sequence?

• The sum of consecutive terms is constant.

• The ratio of consecutive terms is constant.

• The difference between consecutive terms is constant.

• The product of consecutive terms is constant.

In a geometric sequence, what remains constant between consecutive terms?

• The sum of the terms.

• The ratio of the terms.

• The difference between the terms.

• The product of the terms.

How can you determine if a sequence is arithmetic?

• Check if the product of terms is constant.

• Check if the sum of terms is constant.

• Check if the difference between terms is constant.

• Check if the ratio of terms is constant.

Which of the following sequences is geometric?

• 2, 4, 6, 8

• 3, 6, 12, 24

• 7, 14, 21, 28

• 5, 10, 15, 20

What should you do if a sequence is neither arithmetic nor geometric?

• Classify it as neither.

• Try to find a new pattern.

• Ignore the sequence.

• Classify it as a special sequence.