complete the table using the given rules. then, compare pattern a to pattern b. pattern a add 6 9 pattern b…

complete the table using the given rules. then, compare pattern a to pattern b. pattern a add 6 9 pattern b subtract 6 36 which statement is true? each term in pattern b can be found by subtracting the corresponding term in pattern a from 45. each term in pattern b is 4 times the corresponding term in pattern a.

complete the table using the given rules. then, compare pattern a to pattern b. pattern a add 6 9 pattern b subtract 6 36 which statement is true? each term in pattern b can be found by subtracting the corresponding term in pattern a from 45. each term in pattern b is 4 times the corresponding term in pattern a.

Answer

Explanation:

Step1: Find terms in Pattern A

Pattern A starts at 9 and adds 6 each time. Second term: (9 + 6=15) Third term: (15+6 = 21) Fourth term: (21+6=27)

Step2: Find terms in Pattern B

Pattern B starts at 36 and subtracts 6 each time. Second term: (36-6 = 30) Third term: (30 - 6=24) Fourth term: (24-6 = 18)

Step3: Check the first statement

Let's check if (B_n=45 - A_n) For (n = 1): (45-9=36) (matches Pattern B first - term) For (n = 2): (45 - 15=30) (matches Pattern B second - term) For (n = 3): (45-21 = 24) (matches Pattern B third - term) For (n = 4): (45-27=18) (matches Pattern B fourth - term)

Step4: Check the second statement

Check if (B_n = 4A_n) For (n = 1): (4\times9=36) (works) For (n = 2): (4\times15 = 60\neq30)

Answer:

Each term in pattern B can be found by subtracting the corresponding term in pattern A from 45.