Geometric Sequences and Patterns

The video tutorial explains how to determine if a sequence of numbers follows a geometric pattern. It describes the concept of a constant ratio and demonstrates how to analyze a sequence by checking the differences and multipliers between numbers. The tutorial concludes by verifying that the sequence is geometric with a constant ratio of six.

What is the main task in determining if a sequence follows a geometric pattern?

• Finding the sum of the sequence

• Identifying a constant ratio

• Checking if the sequence is arithmetic

• Calculating the average of the sequence

Which of the following best describes a geometric pattern?

• Multiplying or dividing by a constant number

• Subtracting a constant number each time

• Adding a constant number each time

• Adding different numbers each time

What does a constant ratio indicate in a geometric sequence?

• The sequence is random

• The sequence is arithmetic

• The sequence is decreasing

• The sequence is increasing by a fixed factor

In the given sequence, what operation is repeatedly applied to identify the pattern?

• Addition of 10

• Division by 2

• Subtraction of 5

• Multiplication by 6

Why is the sequence not considered arithmetic?

• Because it involves division

• Because it involves multiplication by a constant

• Because it involves addition of different numbers

• Because it involves subtraction

What is the first step in analyzing the sequence?

• Checking the differences between numbers

• Identifying the largest number

• Finding the average of the sequence

• Calculating the sum of the sequence

What is the result of multiplying 72 by the constant ratio in the sequence?

• 144

• 12

• 72

• 432

What is the constant ratio in the sequence discussed?

• 2

• 3

• 0

• 6