Identify Create and Extend Patterns

Extend the pattern: 2, 4, 8, 16, ...

• 20

• 24

• 32

Answer explanation

The pattern doubles each time: 2, 4, 8, 16. Continuing this, 16 doubled is 32. Therefore, the next number in the sequence is 32.

Identify the type of pattern: 5, 10, 15, 20, 25, ...

• Growing pattern

• Shrinking pattern

• Repeating pattern

Answer explanation

The sequence 5, 10, 15, 20, 25 increases by 5 each time, indicating a consistent growth. Therefore, it is classified as a growing pattern, as opposed to shrinking or repeating patterns.

What is the rule for the pattern: 2, 4, 6, 8, ...?

• Add 1

• Add 2

• Multiply by 2

Answer explanation

The pattern increases by 2 each time: 2 + 2 = 4, 4 + 2 = 6, 6 + 2 = 8. Therefore, the rule is to add 2 to each number to get the next one.

Extend the pattern: Red, Green, Red, Green, ...

• Red

• Green

• Blue

Answer explanation

The pattern alternates between Red and Green. After Red, the next color is Green, followed by Red again. Therefore, the next color in the sequence is Red.

Extend the pattern: 10, 20, 40, 80, ...

• 100

• 120

• 160

Answer explanation

The pattern doubles each time: 10, 20 (10x2), 40 (20x2), 80 (40x2). Continuing this, 80x2 equals 160, making it the next number in the sequence.

What is the rule for the pattern: 5, 15, 45, 135, ...?

• Add 10

• Multiply by 3

• Subtract 5

Answer explanation

The pattern multiplies each number by 3: 5 x 3 = 15, 15 x 3 = 45, and 45 x 3 = 135. Therefore, the rule is to multiply by 3.

Identify the type of pattern: Blue, Red, Blue, Red, ...

• Growing pattern

• Shrinking pattern

• Repeating pattern

Answer explanation

The pattern alternates between Blue and Red consistently. This repetition of colors indicates a repeating pattern, as the sequence continues without change, rather than growing or shrinking.

What is the rule for the pattern: 10, 8, 6, 4, ...?

• Subtract 1

• Subtract 2

• Subtract 3

Answer explanation

The pattern decreases by 2 each time: 10 - 2 = 8, 8 - 2 = 6, 6 - 2 = 4. Therefore, the rule is to subtract 2.

Identify the type of pattern: Circle, Square, Circle, Square, ...

• Growing pattern

• Shrinking pattern

• Repeating pattern

Answer explanation

The pattern alternates between Circle and Square, repeating the same sequence. This makes it a repeating pattern, as it does not grow or shrink but continues in the same order.

Extend the pattern: 7, 14, 28, 56, ...

• 70

• 112

• 84

Answer explanation

The pattern doubles each time: 7x2=14, 14x2=28, 28x2=56. Continuing this, 56x2=112. Thus, the next number in the sequence is 112.