Question

complete the table using the given rules. then, compare pattern a to pattern b.
pattern a: subtract 1
pattern b: subtract 1
32, 26
31, 25
30, 24
blank, blank
which statement is true?
each term in pattern b can be found by dividing the corresponding term in pattern a by 4 and then adding 18.
each term in pattern b is 6 less than the corresponding term in pattern a.

Explanation:

Step1: Analyze Pattern A's next term

Pattern A has terms 32, 31, 30. The rule is subtract 1. So next term: $30 - 1 = 29$.

Step2: Analyze Pattern B's next term

Pattern B has terms 26, 25, 24. The rule is subtract 1. So next term: $24 - 1 = 23$.

Step3: Check the statements

• First statement: Test with term 32 (Pattern A) → $32\div4 + 18 = 8 + 18 = 26$ (matches first term of B). But check next term: $31\div4 + 18 = 7.75 + 18 = 25.75

eq25$. So false.

• Second statement: Check differences: $32 - 26 = 6$, $31 - 25 = 6$, $30 - 24 = 6$. So each term in B is 6 less than A. True.

Answer:

Each term in pattern B is 6 less than the corresponding term in pattern A. (And the next terms: Pattern A: 29, Pattern B: 23)