Question

25 points

Look at the two patterns below: Pattern A: Starts at 2 and follows the rule "add 5" Pattern B: Starts at 2 and follows the rule "add 3" Select the statement that is true.

A. The first five terms in Pattern A are 2, 7, 12, 17, 22.
B. The first five terms in Pattern B are 2, 5, 9, 12, 15.
C.The terms in Pattern A are 2 times the value of the corresponding terms in Pattern B. D.The terms in Pattern B are one third the value of the corresponding terms in Pattern A.

Answer 1

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

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

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

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