Section 4 Topic 1 Arithmetic Sequences

Jan is using toothpicks to create patterns as shown below. Based on the pattern, how many toothpicks will Jan use in Figure 16?

• 31

• 33

• 63

• 65

Consider the sequence 41, 29, 17, 5...The sequence is

• arithmetic

• geometric

• exponential

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CCSS.HSF.BF.A.2

Consider the sequence 41, 29, 17, 5...It can be defined recursively by the function

• A_n = A_n-1 + 12

• A_n = A_n-1 - 12

• A_n = 12A_n-1

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CCSS.HSF.IF.A.3

Consider the sequence 41, 29, 17, 5

a₁ is equal to

• 53

• 41

• -12

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CCSS.HSF.BF.A.2

Maria Louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 3 vertices, the second shape has 5 vertices, and the third shape has 7 vertices. If Maria Louisa assumes that the number of vertices in the sequence of shapes follows the same pattern, how many vertices would she expect the twenty-first shape to have?

• 39

• 41

• 43

• 45

• 47

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CCSS.HSF.BF.A.2

Consider the sequence 60, 53, 46, 39, 32, 25, ...The common difference of this sequence is

• 7

• -7

• -10

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CCSS.HSF.BF.A.2

Consider the sequence 60, 53, 46, 39, 32, 25, ...The explicit formula for the sequence is

• A_n = 60 + 7(n-1)

• A_n = 60 - 10(n-1)

• A_n = 60 - 7(n-1)

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CCSS.HSF.BF.A.2

Consider the sequence 60, 53, 46, 39, 32, 25, ...The tenth term for this sequence is

• A₁₀ = 1

• A₁₀ = -3

• A₁₀ = -10

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CCSS.HSF.BF.A.2

Alice is saving her chore money in a bank account. She makes a deposit of $5 in the first month. Then every month, she deposits $10. Alice forms a sequence of her account balance, where n refers to the number of months. Which of the statements are correct about this sequence? Select all that apply.

• A₁₀ = 105

• A₈ = 65

• A₁₂ = 115

• A_n = 10 + 5(n-1)

• A_n = A_n-1 + 10

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CCSS.HSF.BF.A.2

On first day of every month, Katie gets 400 phones to repair. She repairs 12 phones every day after that day. How many phones does she have left to repair at the end of the fifteenth day of the month?

• 220

• 232

• 580

• 568

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CCSS.HSF.BF.A.2