Question

compare pattern a to pattern b.
pattern a
add 3
3
6
9
12
pattern b
add 30
30
60
90
120
which statement is true?
each term in pattern b is 27 more than the corresponding term in pattern a.
each term in pattern b is 10 times the corresponding term in pattern a.

Explanation:

Step1: Analyze Pattern A and B terms

Pattern A terms: 3, 6, 9, 12. Pattern B terms: 30, 60, 90, 120.

Step2: Check the relationship

For each corresponding term: \( \frac{30}{3} = 10 \), \( \frac{60}{6} = 10 \), \( \frac{90}{9} = 10 \), \( \frac{120}{12} = 10 \). So each term in B is 10 times A. Check the first statement: 30 - 3 = 27, but 60 - 6 = 54 ≠ 27, so first statement is false.

Answer:

Each term in pattern B is 10 times the corresponding term in pattern A.