3-5 Arithmetic Sequences

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes
• No

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CCSS.HSF.BF.A.2

Find the common difference: -34, -29, -24, -19, ...

• d = -5
• d = 5
• d = -6
• d = 6

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CCSS.HSF.BF.A.2

What is the arithmetic sequence equation formula?

• y = kx

• ax + by = c

• an = a1 + (n-1)d

• y = mx + b

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CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15
• -5, 2, 9
• 3, 12, 21
• -65, -73, -81

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CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

• 63, 72, 81
• 79, 88, 97
• 70, 79, 88
• 61, 70, 79

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CCSS.HSF.BF.A.2

Identify a₁ and d for the arithmetic sequence: -10, -14, -18, -22, ...

• a1 = -10 and d = 4

• a1 = 10 and d = -4

• a1 = -10 and d = -4

• a1 = 10 and d = 4

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CCSS.HSF.BF.A.2

Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...(Hint: Write your formula as a_n = a₁ + (n-1)d and then plug in 26 for n)

• -515

• -490

• -535

• 460

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CCSS.HSF.BF.A.2

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Common denominator
• Common opposites
• Common domain
• Common difference

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CCSS.HSF.BF.A.2

Given the sequence:

25, 21, 17, 13,...

Write the equation that models the sequence.

• a_n = 25 + (n-1) (-4)

• a_n = -25 + (n-1) (-4)

• a_n = 25 + (n-1) (4)

• a_n = -10 + (n+1) (-4)

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CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:

2, 8, 14, 20, ...

(Hint: Write your formula as a_n = a₁ + (n-1)d and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

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CCSS.HSF.BF.A.2