Arithmetic Sequences Review

It is a sequence wherein the terms are generated by adding a constant number called common difference.

• Arithmetic Sequence

• Fibonacci Sequence

• Geometric Sequence

• Harmonic Sequence

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CCSS.HSF.BF.A.2

Is the sequence arithmetic: -3, 3, -3, 3, ...

• Yes

• No

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CCSS.HSF.BF.A.2

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

• Yes

• No

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CCSS.HSF.BF.A.2

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 100; a_n = a_n-1 - 8

• Explicit; 100, 92, 84, 76

• Recursive; 100, 92, 84, 76

• Explicit; 100, 108, 116, 124

• Recursive; 100, 108, 116, 124

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CCSS.HSF.BF.A.2

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a_n = -4n - 1

• Explicit; -3, -7, -11, -15

• Recursive; -3, -7, -11, -15

• Explicit; -5, -9, -13, -17

• Recursive; -5, -9, -13, -17

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CCSS.HSF.BF.A.2

Find the given term for the sequence. 
Find a₆₄  for a_n = 5n + 4

• 9

• 324

• 320

• cannot be determined

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CCSS.HSF.BF.A.2

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8

• a₁ =6, a_n = a_n - 1 - 2

• a₁ = 6, a_n = a_n-1 + 2

• a₁ = 6, a_n = a_n-1 - 2

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CCSS.HSF.BF.A.2

Identify the common difference. 
10, 20, 30, 40, ...

• 5

• 10

• 15

• 20

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CCSS.HSF.BF.A.2

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

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CCSS.HSF.BF.A.2

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

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CCSS.HSF.BF.A.2