Arithmetic Sequences Recursive Formula

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16

  a₁=17

• a_n = a_n-1 - 17

  a₁=17

• a_n = a_n-1 - 15

  a₁=17

• a_n = a_n-1 - 16

  a₁=17

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CCSS.HSF.BF.A.2

A sequence of numbers in which the difference between any two consecutive terms is the same.

• Arithmetic Sequence

• Geometric Sequence

• Automatic Sequence

• Reflective Sequence

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CCSS.HSF.BF.A.2

Find the common difference.

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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

Find the first four terms of the sequence.

a_n= a_(n-1) - 18 where a₁=10

• 18, 8, -2, -12

• 28, 46, 64, 82

• -8, -26, -44, -60

• 10, -8, -26, -44

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CCSS.HSF.BF.A.2

Find the next three terms:
5, 8, 11, 14...

• 16, 19, 22

• 17, 19, 21

• 17, 20, 23

• 16, 18, 20 

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CCSS.HSF.BF.A.2

Given the following sequence and a_n = 7, what is a_n+1?

2, 7, 12, 17,...

• 2

• 12

• 17

• 22

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CCSS.HSF.BF.A.2

Given the following sequence, what is a₅?

2, 7, 12, 17,...

• 2

• 12

• 17

• 22

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CCSS.HSF.BF.A.2

Find the first four terms of the sequence.

a_n+1= a_n + 9 where a₁= -2

• -2, -11, -20, -29

• 9, 7, 5, 3

• -2, 7, 16, 25

• 9, 18, 27, 36

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CCSS.HSF.BF.A.2

Describe the relationship between the terms in the arithmetic sequence 
15, 30, 45, 60

• Adding 15 to the previous term

• Subtracting 15 to the previous term 

• Multiplying each term by 3

• Dividing the previous term by 2

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CCSS.HSF.BF.A.2