Patterns and Relations

The video tutorial explains two number patterns starting from zero, with the first pattern following the rule of adding 4 and the second pattern adding 8. It demonstrates how to construct tables for each pattern, showing the current element, the rule applied, and the resulting next element. The tutorial then compares the two patterns, identifying a consistent relationship where elements in the second pattern are twice those in the first. The lesson concludes by summarizing the relationship between the patterns and reinforcing the concept of corresponding elements.

What is the rule for generating the first number pattern?

• Add 2

• Add 8

• Add 6

• Add 4

In the first pattern, what is the result of applying the rule to the current element 4?

• 10

• 8

• 6

• 12

What is the rule for generating the second number pattern?

• Add 4

• Add 6

• Add 8

• Add 10

In the second pattern, what is the result of applying the rule to the current element 8?

• 20

• 18

• 14

• 16

What is the relationship between the corresponding elements of the two patterns?

• The second element is 2 times the first

• The second element is 8 more than the first

• The second element is 3 times the first

• The second element is 4 more than the first

If the first pattern has an element 12, what would be the corresponding element in the second pattern?

• 26

• 20

• 22

• 24

What conclusion can be drawn about the elements in the second pattern compared to the first?

• They are half of the first pattern

• They are four times greater than the first pattern

• They are equal to the first pattern

• They are two times greater than the first pattern