Question

hawa is comparing two patterns. both patterns start with the number 0. pattern a follows the rule of “add 3.” pattern b follows the rule of “add 15.” fill in the first four values in the two patterns below. then fill in the sentence to compare the two number patterns. chart with columns “pattern a” and “pattern b”, four rows (first column cells are blue-outlined) shown below the text

Explanation:

Step1: Find Pattern A values

Start with 0. Add 3 each time.
First value: \( 0 \)
Second value: \( 0 + 3 = 3 \)
Third value: \( 3 + 3 = 6 \)
Fourth value: \( 6 + 3 = 9 \)

Step2: Find Pattern B values

Start with 0. Add 15 each time.
First value: \( 0 \)
Second value: \( 0 + 15 = 15 \)
Third value: \( 15 + 15 = 30 \)
Fourth value: \( 30 + 15 = 45 \)

Filled Table:

Pattern A	Pattern B
3	15
6	30
9	45

Sentence Comparison (Example):

Each term in Pattern B is \( \frac{15}{3} = 5 \) times the corresponding term in Pattern A (or Pattern B increases by 15 while Pattern A increases by 3, so Pattern B grows faster).

Answer:

(Table Values):
Pattern A: 0, 3, 6, 9; Pattern B: 0, 15, 30, 45