Understanding Patterns A and B

The video tutorial explains how to generate Pattern B from Pattern A by multiplying each term by 3 and adding 1. It then demonstrates how to graph the corresponding terms of Patterns A and B, highlighting the consistent increase in values. The tutorial concludes with an analysis of the patterns, emphasizing the arithmetic operations involved and their effects on the graph.

What is the rule for generating Pattern B from Pattern A?

• Multiply by 2 and subtract 1

• Multiply by 2 and add 1

• Multiply by 3 and add 1

• Multiply by 3 and subtract 1

If the first term of Pattern A is 0, what is the first term of Pattern B?

• 3

• 1

• 2

• 0

What is the second term of Pattern B if the second term of Pattern A is 1?

• 6

• 3

• 4

• 5

How do you graph the terms of Pattern A and Pattern B?

• Both on the horizontal axis

• Both on the vertical axis

• Pattern A on the horizontal axis and Pattern B on the vertical axis

• Pattern A on the vertical axis and Pattern B on the horizontal axis

What is the Pattern B value when Pattern A is 3?

• 10

• 9

• 7

• 12

How does Pattern A increase?

• By 2 each time

• By 3 each time

• By 1 each time

• By 4 each time

How does Pattern B increase?

• By 3 each time

• By 1 each time

• By 4 each time

• By 2 each time

Why does Pattern B start at 1?

• Because we add 1 after multiplying by 3

• Because we subtract 1 after multiplying by 3

• Because we multiply by 2

• Because we divide by 3

What is the distance between the points in Pattern B?

• 4

• 3

• 2

• 1

What confirms the correctness of the solution?

• The points are evenly spaced

• The values are all positive

• The calculations match the rule

• The graph is a straight line