Determine if a sequence is geometric or not

The video tutorial explains how to determine if a sequence is geometric by using the definition and checking the ratio of consecutive terms. It provides an example with four terms, showing the calculation of ratios and their simplification to confirm the sequence is geometric. The tutorial concludes by affirming the sequence type based on consistent ratios.

What is the key characteristic of a geometric sequence?

• The sum of consecutive terms is constant.

• The difference between consecutive terms is constant.

• The ratio of consecutive terms is constant.

• The product of consecutive terms is constant.

If a sequence has terms 2, 6, 18, 54, what is the common ratio?

• 5

• 4

• 3

• 2

How do you confirm a sequence is geometric?

• By calculating the difference between the first and last term.

• By checking if the sum of terms is a prime number.

• By ensuring the ratio of consecutive terms is the same.

• By verifying the terms are all even numbers.

What is the simplified ratio of the sequence 36, 108, 324?

• 3

• 4

• 5

• 2

Why is it important to simplify the ratios in a geometric sequence?

• To confirm the sequence is geometric by ensuring all ratios are equal.

• To identify the first term of the sequence.

• To determine the number of terms in the sequence.

• To find the sum of the sequence.