Geometric Sequences and Ratios

The video tutorial explains how to determine if a sequence of numbers follows a geometric pattern. It involves checking if each term is multiplied by a constant ratio to get the next term. The example sequence provided is 6, 48, 384, and 3072. By verifying the multiplication of each term by 8, it is confirmed that the sequence is geometric with a constant ratio of 8.

What is the main goal when analyzing the sequence of numbers in this problem?

• To determine if the sequence is arithmetic

• To find the sum of the numbers

• To identify if the sequence is geometric

• To calculate the average of the numbers

What is the first step in checking if a sequence is geometric?

• Divide each term by the previous one

• Add the numbers together

• Check if each term is multiplied by the same number

• Subtract the first term from the last

What operation is used to verify the pattern between the first and second terms?

• Multiplication

• Subtraction

• Addition

• Division

What is the result of multiplying 6 by 8 in the sequence?

• 3072

• 6

• 384

• 48

How do you verify the pattern for the term 384?

• By adding 8

• By multiplying by 8

• By dividing by 8

• By subtracting 8

What is the result of multiplying 48 by 8?

• 48

• 384

• 6

• 3072

What is the constant ratio in the geometric sequence?

• 384

• 8

• 48

• 6

What conclusion is reached about the sequence of numbers?

• It is a decreasing sequence

• It is a random sequence

• It is a geometric sequence with a constant ratio of eight

• It is an arithmetic sequence