Explicit vs recursive

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

CCSS.HSF.LE.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)

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.BF.A.2

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

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

Given the sequence:
a₁ = 25
a_n=a_n-1-4
Write the explicit equation that models the sequence.

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Given the sequence:
a₁ = 5
a_n=a_n-1+7
Write the explicit equation that models the sequence.

• a_n = 7n + 2
• a_n = 5n + 2
• a_n = 7n - 2
• a_n = 5n + 7

Given the sequence:
a₁ = 8
a_n=a_n-1-14
Write the explicit equation that models the sequence.

• a_n = -14n + 8
• a_n = 14n + 22
• a_n = -14n + 22
• a_n = 14n + 8

Given the sequence:
a₁ = -19
a_n=a_n-1+ 9
Write the explicit equation that models the sequence.

• a_n = 9n + 28
• a_n = -19n + 25
• a_n = 9n - 28
• a_n = 9n - 19

Given the sequence:
a₁ = 17
a_n=a_n-1- 5
Write the explicit equation that models the sequence.

• a_n = 5n + 12
• a_n = -5n + 17
• a_n = -5n + 22
• a_n = 5n + 22