Determine how each multiplication or division pattern is formed. Then write the next two numbers

a) 81, -27, 9 ...

b) 5, -20, 80...

(a) each term is -1/3 the previous term

(b) each term is -4 times the previous term

Just take the first two terms and find their ratio. Then check to make sure the same ratio is there for the next two terms, and so on.

Thank you :)

To determine how each multiplication or division pattern is formed, we need to analyze the relationship between the given numbers.

a) 81, -27, 9 ...

Looking at the pattern, we can see that each number is related to the previous one through division by 3.
The pattern is formed by dividing each number by 3 to get the next one:

81 ÷ 3 = -27
-27 ÷ 3 = 9

To find the next number using the pattern, we divide 9 by 3:

9 ÷ 3 = 3

Therefore, the next two numbers based on the pattern are 3 and 1.

b) 5, -20, 80...

In this pattern, each number is related to the previous one through multiplication by -4.
The pattern is formed by multiplying each number by -4 to get the next one:

5 × (-4) = -20
-20 × (-4) = 80

To find the next number using the pattern, we multiply 80 by -4:

80 × (-4) = -320

Therefore, the next two numbers based on the pattern are -320 and 1280.