Recursive and Explicit Formula

On a scale of 1-5, 1 meaning "I have no clue what is going on" to 5 meaning "I got it completely," how would you rate your understanding of recursive & explicit sequences

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CCSS.HSF.BF.A.2

What is the recursive rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11x 2

• a_n = 11(2)^n-1

• a_n = 2a_n-1

Tags

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

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

• ^a_n= 3(2)^n-1

• ^a_n= 3+(2)ⁿ

• ^a_n= 3(2)ⁿ

• ^a_n= 3+(2)^n-1

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CCSS.HSF.LE.A.2

The recursive formula can only be used if you know the previuos term

• True

• False

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CCSS.HSF.BF.A.2

Given the recursive formula, find the explicit form
a_n = a_n-1 - 5
a₁ = 22

• a_n = 22 + (n-1)(-5)

• a_n = 22 + (n-1)(5)

• a_n = -5 + (n-1)(22)

• a_n = -16 + (n-1)(-5)

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the explicit form
a_n = a_n-1 + 5
a₁ = -16

• a_n = 5 + (n-1)(-16)

• a_n = -11 + (n-1)(5)

• a_n = 16 + (n-1)(5)

• a_n = -16 + (n-1)(5)

Tags

CCSS.HSF.BF.A.2

Write a recursive rule for the sequence a_n = 17 + (n-1)(-16)

• a₁ = 17
  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

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CCSS.HSF.IF.A.3

Write the recursive formula for
a_n = 17 + (n-1)(11)

• a₁ = 17
  a_n=a_n-1+11

• a₁ = 17
  a_n=a_n-1-11

• a_n=a
  a₁ = 17_n-1+11

• a₁ = 6
  a_n=a_n-1+11

Tags

CCSS.HSF.BF.A.2

Write the recursive formula of
a_n = 13 + (n-1)(-4)

• a₁ = 13
  a_n=a_n-1-4

• a₁ = 13
  a_n=a_n-1+4

• a₁ = 17
  a_n=a_n-1-4

• a₁ = -4
  a_n=a_n-1+13

Tags

CCSS.HSF.BF.A.2