Understanding Patterns A and B

The video tutorial explains the first five terms of two patterns, A and B, using a graph. Pattern A starts at 4 and increases by 3, while pattern B starts at 1 and increases by 6. The tutorial verifies statements about the patterns, confirming that for each term in pattern A, multiplying by 2 and subtracting 7 gives the corresponding term in pattern B. It also confirms that moving 3 units right and 6 units up between terms is correct. The tutorial concludes by identifying which statements about the patterns are accurate.

What does the graph represent in the context of the video?

• A random set of numbers.

• The last five terms of a single pattern.

• The average of two patterns.

• The first five terms of two patterns.

What is the first term of pattern A?

• 4

• 10

• 1

• 7

What is the fifth term of pattern B?

• 19

• 25

• 13

• 7

How does pattern A change from one term to the next?

• It decreases by 3.

• It increases by 3.

• It doubles.

• It remains constant.

What happens to pattern B when pattern A increases by 3?

• Pattern B decreases by 6.

• Pattern B increases by 6.

• Pattern B doubles.

• Pattern B remains the same.

What is the relationship between the terms of pattern A and pattern B?

• Pattern B is always double pattern A.

• Pattern B is pattern A plus 7.

• Pattern B is always half of pattern A.

• Pattern B is two times pattern A minus 7.

What is the formula to derive pattern B from pattern A?

• Multiply by 2 and add 7.

• Multiply by 2 and subtract 7.

• Multiply by 3 and add 7.

• Multiply by 3 and subtract 7.

Which statement is true about the second terms of both patterns?

• They are both 1.

• They are both 10.

• They are both 4.

• They are both 7.

Which statement is incorrect about the terms of pattern B?

• Pattern B is sometimes less than pattern A.

• Pattern B is sometimes greater than pattern A.

• Pattern B is sometimes equal to pattern A.

• Pattern B is always greater than pattern A.

How do you move from one point to the next on the graph?

• 6 units right and 3 units up.

• 3 units right and 6 units up.

• 6 units left and 3 units down.

• 3 units left and 6 units down.