Question

compare pattern a to pattern b.
pattern a
add 2
6
8
10
12
pattern b
add 8
22
30
38
46
which statement is true?
each term in pattern b can be found by subtracting the corresponding term in pattern a from 28.
each term in pattern b can be found by multiplying the corresponding term in pattern a by 4 and then subtracting 2.

Explanation:

Step1: Analyze Pattern A and B

Pattern A: 6, 8, 10, 12 (add 2 each time)
Pattern B: 22, 30, 38, 46 (add 8 each time)

Step2: Check the relationship

Let's check the first pair: 22 - 6 = 16? No. Wait, maybe another way. Let's see the difference between corresponding terms: 22 - 6 = 16, 30 - 8 = 22? No, wait, maybe a linear relationship. Let's check the first term: 6 (A) and 22 (B). 63 + 4 = 22? 64 - 2 = 22? Wait, 63 + 4 = 22? 64 = 24, 24 - 2 = 22. Let's check the second term: 84 = 32, 32 - 2 = 30. Yes! 84 - 2 = 30. Third term: 104 - 2 = 38. Fourth term: 124 - 2 = 46. So each term in B is (term in A * 4) - 2, which is multiplying A by 4 and then subtracting 2.

Answer:

The statement "Each term in pattern B can be found by multiplying the corresponding term in pattern A by 4 and then subtracting 2" is true.