Arithmetic Sequence & Recursive Formula

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6
• a_n=a_n-1-4
  a₁=6
• a_n=a_n-1+9
  a₁=6
• a_n=a_n-1+6
  a₁=6

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CCSS.HSF.BF.A.2

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

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CCSS.HSF.BF.A.2

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

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CCSS.HSF.BF.A.2

Find the 4th term for the sequence defined by a₁=9; a_n=a_n-1+8

• 35
• 17
• 41
• 33

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CCSS.HSF.BF.A.2

Each individual number in a sequence of numbers is called what?

• Common difference
• Successive term
• Term
• Geometric term

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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

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

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

Find the explicit formula:
-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)
• a_n = -3 + 30(n -1)
• a_n = -30 - 3(n -1)
• a_n = -30 + 3(n -1)

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

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CCSS.HSF.BF.A.2