How to Apply the Arithmetic Sequence Formula

Given the first term and the common difference of an arithmetic sequence write the explicit formula.

a 1 = 28, d = 10 ( do not use subscripts)

(a)  

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CCSS.HSF.BF.A.2

Given the first term and the common difference of an arithmetic sequence find the first five terms

a 1 = 28, d = 10

(a)  

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CCSS.HSF.BF.A.2

Find the first term of the given sequence:
a₁₄=68
d=3

• 14
• 20
• 26
• 29

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CCSS.HSF.BF.A.2

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18
• 17
• 15
• 14

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CCSS.HSF.BF.A.2

Which of the following equations has a solution of x = 3? Select all that apply.

• 2x + 8 = 14

• 10x + 20 = 6x + 40

• 3(x + 12) = 45

• 8x - 12 = 2x + 6

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CCSS.6.EE.B.5

6(n + 2) < -72

• n < -14
• n < 35/3
• n < -10
• ∞

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CCSS.7.EE.B.4B

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

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CCSS.HSF.BF.A.2

Arithmetic sequences involve

• multiplication and division
• multiplication and addition
• addition and subtraction
• subtraction and division

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CCSS.HSF.BF.A.2

What does a₁ represent?

• Any term

• First term

• Last term

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CCSS.HSF.BF.A.2

In a certain arithmetic sequence, a₅ = 12 and a₆ = 16. What is a₁ ?

• -8

• -4

• 4

• 8

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CCSS.HSF.BF.A.2