Algebra 2 Unit 1 Quiz 2 Arithmetic Sequences and Series

What is the explicit formula for an arithmetic sequence?

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CCSS.HSF.BF.A.2

What is the formula for an arithmetic series?

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CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3

Complete the sequence: 3, _, 11, 15

(a)  

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CCSS.HSF.BF.A.2

Identify the common difference.
4, 15, 26, ...

• 6

• 8

• 11

• 9

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CCSS.HSF.BF.A.2

Complete the sequence: -12, -18, _, -30

(a)  

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CCSS.HSF.BF.A.2

Which explicit formula can be used for the sequence:
2, 8, 14, ...

• 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

Evaluate the arithmetic series described:
11 + 18 + 25 + 32..., S₇

• 225
• 450
• 384
• 224

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CCSS.7.EE.B.3

CCSS.7.NS.A.1

CCSS.7.NS.A.3

Given the sequence: 4, 11, 18, 25, 32, ...

Select all values that would appear in the sequence.

• 60

• 68

• 75

• 39

• 81

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CCSS.HSF.BF.A.2

Suppose you are building 10 steps with 8 concrete blocks in the top step and 80 blocks in the last step. If the number of blocks in each step forms an arithmetic sequence, state the values of n, a₁, and a_n. Determine the total number of blocks needed to build these steps using your series formula. Make sure you type out your work.

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CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

The members of a school's color guard begin their performance in the pyramid formation shown.

a.) Develop the explicit formula to determine the number of members in any row, a_n.

b.) Using your formula, how many members are in row 8?

Make sure to type out your work.

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CCSS.HSF.BF.A.2