Question

25 points

Answer 1

Answer:

A. The first five terms in Pattern A are 2, 7, 12, 17, 22.

Step-by-step explanation:

I will just write out the first five terms for both patterns so it is easier to see.

Pattern A:   2, 7, 12, 17, 22

Pattern B:   2, 5, 9, 12, 15

C and D are both false. B is also false because it adds 4 from 5 to 9 instead of 3. "A" is the correct answer since it matches the correct terms.

Answer 2

Answer:

A. The first five terms in Pattern A are 2, 7, 12, 17, 22

Step-by-step explanation:

Pattern A

Start at 2 and follow the rule "add 5"

$\sf 2 \underset{+5}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+5}{\longrightarrow} 17 \underset{+5}{\longrightarrow} 22$

So the first five terms in Pattern A are 2, 7, 12, 17, 22

Pattern B

Start at 2 and follow the rule "add 3"

$\sf 2 \underset{+3}{\longrightarrow} 5 \underset{+3}{\longrightarrow} 8 \underset{+3}{\longrightarrow} 11 \underset{+3}{\longrightarrow} 14$

So the first five terms in Pattern B are 2, 5, 8, 11, 14

True Statement

Therefore, the statement that is true is:

A. The first five terms in Pattern A are 2, 7, 12, 17, 22