Describe the pattern in each sequence and explain how you found it.

$$11 - 16 = -5$$ $$6 - 11 = -5$$ $$1 - 6 = -5$$

The pattern is subtracting 5 from the previous number.

b)

$$22 - 25 = -3$$ $$19 - 22 = -3$$ $$16 - 19 = -3$$

The pattern is subtracting 3 from the previous number.

c)

$$-8 - (-16) = 8$$ $$0 - (-8) = 8$$ $$8 - 0 = 8$$

The pattern is adding 8 to the previous number.

d)

$$-1 - (-4) = 3$$ $$2 - (-1) = 3$$ $$5 - 2 = 3$$

The pattern is adding 3 to the previous number.

e)

$$-69 - (-79) = 10$$ $$-59 - (-69) = 10$$ $$-49 - (-59) = 10$$

The pattern is adding 10 to the previous number.

f)

$$50 - 58 = -8$$ $$42 - 50 = -8$$ $$34 - 42 = -8$$

The pattern is subtracting 8 from the previous number.

3. Describe the pattern.

a)

$$\frac{-21}{7} = -3$$ $$\frac{63}{-21} = -3$$ $$\frac{-189}{63} = -3$$

The pattern is multiplying the previous number by -3.

b)

$$\frac{-44}{-4} = 11$$ $$\frac{-484}{-44} = 11$$ $$\frac{-5324}{-484} = 11$$

The pattern is multiplying the previous number by 11.

c)

$$\frac{-66}{-11} = 6$$ $$\frac{-396}{-66} = 6$$

The pattern is multiplying the previous number by 6.

d)

$$\frac{-8}{2} = -4$$ $$\frac{32}{-8} = -4$$ $$\frac{-128}{32} = -4$$

The pattern is multiplying the previous number by -4.

e)

$$\frac{72}{9} = 8$$ $$\frac{576}{72} = 8$$ $$\frac{4608}{576} = 8$$

The pattern is multiplying the previous number by 8.

f)

$$\frac{-45}{-5} = 9$$ $$\frac{-405}{-45} = 9$$

The pattern is multiplying the previous number by 9.