P3 RECURSIVE FORMULA

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

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

Tags

CCSS.HSF.IF.A.3

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

Given the recursive formula, find the first four terms:
a_n = -3⋅a_n-1
a₁ = 45

• 45, -135, 405, -1215
• -45, -135, -405, -1215
• 45, 135, 405, 1215
• 45, 42, 39, 36

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.IF.A.3

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

• 35
• 17
• 41
• 33

Tags

CCSS.HSF.BF.A.2

What is the 15th term of the sequence  $a=50-3n$  

• 95

• -5

• 5

• -95

Tags

CCSS.HSF.BF.A.2

Find the 16th term.

• 16
• 31
• 25
• 35

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

What is the recursive rule for the sequence:
-2, 12, -72, 432, ...

• a_n = -2(-6)^n-1
  a₁=-2
• a_n =a_n-1 + 10
  a₁=-2
• a_n = -6⋅a_n-1
  a₁=-2
  a₁ = -2
  
• a_n = a_(n-1) - 6
  a₁=-2
  a₁ = -2

Tags

CCSS.HSF.BF.A.2