How Does It Change? + Squares

What would be the next number in this linear pattern: 0, 3, 6, 9, ...

What would be the next number in this quadratic pattern: 3, 4, 7, 12, ...

By how many dots does the pattern grow in each figure?

The table shows the relationship between the figure number and number of dots in a pattern. Is this pattern linear, exponential, or quadratic?

• Linear

• Exponential

• Quadratic

In a pattern, the number of squares in each figure is the square of the figure number n (n²). Which could be figures in the pattern? Select all that apply.

• B

• C

• D

• E

• F

Refer to the pattern of dots. If the pattern continues, how many dots will be in Figure 5?

In a pattern, the number of squares in each figure equals the figure number n squared plus 3 (n² + 3). Which could represent Figure 2?

• A

• B

• C

• D

Study the sequence of figures. Write a quadratic expression to describe the number of squares in Figure n.

Explain how you know the expression n² + 4 is a quadratic.

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How many dots will there be in Figure 5?