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Reasoning and Writing of Proofs 1
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Result
. . . .

Choose the correct answer to each question.

1. Refer to the figure below. If the pattern will continue, how many matchsticks will the nth figure have?
n+5
6n+5
5n+1
none of the choices
Answer: 5 n + 1
2. Refer to the figure below. If the pattern will continue, how many white tiles will the nth figure have?
2n+6
n+2
8n+2
none of the choices
Answer: 2 n + 6
3. What are the next three terms in the following pattern?
8, 15, 22, 29, . . .
36, 43, 50
37, 44, 51
38, 45, 52
none of the choices
Answer: 36, 43, 50
4. What are the next three terms in the following pattern?
–2, 6, –12, 36, . . .
–72, 144, –288
–72, 144, –432
–72, 216, –432
none of the choices
Answer: –72, 216, –432
5. What are the next three terms in the following pattern?
2, 12, 23, 35, . . .
47, 60, 74
48, 62, 77
49, 64, 80
none of the choices
Answer: 48, 62, 77
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