Given a sequence of numbers determine if it is geometric or not

The video tutorial explains how to determine if a sequence is geometric by checking if the ratio between consecutive terms is constant. It provides a step-by-step verification process using examples, demonstrating that if the ratio remains the same, the sequence is geometric. The tutorial concludes with a brief mention of further examples to be explored.

What is the key characteristic of a geometric sequence?

• The sum of terms is constant.

• The difference between terms is constant.

• The product of terms is constant.

• The ratio between consecutive terms is constant.

How can you verify if a sequence is geometric?

• By checking if the sum of terms is the same.

• By ensuring the ratio between consecutive terms is constant.

• By calculating the product of all terms.

• By confirming the difference between terms is constant.

In the given sequence, what is the common ratio?

• 5

• 3

• 4

• 2

What does it mean if the ratio between terms is not constant?

• The sequence is linear.

• The sequence is geometric.

• The sequence is not geometric.

• The sequence is arithmetic.

What is the next step after confirming a sequence is geometric?

• Calculate the sum of the sequence.

• Find the next term in the sequence.

• Look at an example.

• Determine if the sequence is arithmetic.