Arithmetic Sequence Recursive Formula

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

• u₁ = 15
  u_n = u_n-1 + 3
• u₀ = 15
  u_n = u_n-1 + 3
• u₁ = 15
  u_n = u_n-1 - 3 
• u₀ = 15
  u_n = u_n-1 - 3

Tags

CCSS.HSF.BF.A.2

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

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 a recursive formula for the following sequence:

16,8, 4, 2,...

• a₁=16

  a_n=2a_n-1

• a₁=16

  a_n=.5a_n-1

• a₁=16

  a_n=a_n-1 + .5

• a₁=16

  a_n=a_n-1 + 2

Tags

CCSS.HSF.BF.A.2

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

• 2, 4, 6, 8, 10

• 1, 3, 5, 7, 9

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

Given  $a_1=4$ and d = 8, write the recursive formula represents the sequence.

• $a_1=4$ ,
  $a_n=a_{\left(n-1\right)}\cdot3$

• $a_1=4$ ,
  $a_n=a_{\left(n-1\right)}+8$

• $a_1=4$ ,
  $a_n=a_{\left(n-1\right)}-8$

• $a_1=4$ ,
  $a_n=a_{\left(n-1\right)}\cdot9$

Given  $a_1=7$ and d = 7, write the recursive formula represents the sequence.

• $a_1=7$ ,
  $a_n=a_{\left(n-1\right)}+7$

• $a_1=7$ ,
  $a_n=a_{\left(n-1\right)}\cdot7$

• $a_1=7$ ,
  $a_n=a_{\left(n-1\right)}\cdot2$

• $a_1=7$ ,
  $a_n=a_{\left(n-1\right)}+14$

Write the recursive formula for the table.

• 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

Write the recursive formula for the table.

• a_n = -2n + 8

• a₁ =6,

  a_n = a_n - 1 - 2

• a₁ = 6,

  a_n = a_n-1 + 2

• a₁ = 6,

  a_n = a_n-1 - 2