Section 9.1 Mathematical Patterns

Given the recursive formula below, find the first five terms.

u₁ = 3

u_n = u_n-1 + 2

• 3, 5, 7, 9, 11

• 5, 7, 9, 11, 13

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

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CCSS.HSF.BF.A.2

The explicit formula for a sequence is a_n = − 3n+5 . What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

What is the 15th term of the sequence a_n = -3n+50

• 95

• -5

• 5

• -95

Use the explicit formula to find the first four terms of the sequence.
 $a_n=3+5\left(n-1\right)$  

• 3, 15, 75, 375

• 3, 8, 13, 18

• 5, 8, 11, 14

• 5, 15, 45, 135

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CCSS.HSF.BF.A.2

Use the explicit formula to find the first four terms of the sequence.
 $a_n=9\cdot4^{\left(n-1\right)}$  

• 4, 36, 324, 2916

• 9, 36, 144, 576

• 9, 13, 17, 21

• 4, -5, -14, -23

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CCSS.HSF.BF.A.2

Use the explicit formula to find the 7th term of the sequence.
 $a_n=22-3\left(n-1\right)$  

• 4

• 1

• 18

• 114

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CCSS.HSF.BF.A.2

Use the explicit formula to find the 5th term of the sequence.
 $a_n=3\cdot2^{\left(n-1\right)}$  

• 24

• 7,776

• 48

• 96

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CCSS.HSF.BF.A.2

Determine the first 3 terms of the following sequence.

t₁= -3

t_n=t_n-1(3)

• -3, 9, 27

• -3, -9, -27

• -3, -6, -9

• -3, 6,9

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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