Recursive & Arithmetic Review

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

Which of the following recursive formulas represents the given sequence.

7, 14, 28, 56, 112, ...

Tags

CCSS.HSF.IF.A.3

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

Tags

CCSS.HSF.BF.A.2

Write a recursive formula for the following sequence:

16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

Tags

CCSS.HSF.BF.A.2

Which of the following sequences has the recursive rule f_n = f_n-1 + f_n-2

• {8,12,16,20,24, …}

• {-15,-19,-23,-27,-31, …}

• {-3,-12,-48,-192,-768, …}

• {1, 2, 3, 5, 8, …}

Tags

CCSS.HSF.BF.A.2

Write a recursive rule for the sequence 1, 2, 5, 14, 41, 122, …

• a_n = (a_n-1)² + 1

• a_n = 2 a_n-1 - 2

• a_n = 3 a_n-1 - 1

• a_n = 3 a_n-1 + 1

Tags

CCSS.HSF.IF.A.3

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

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

What is the a_n-1 if the a_n=5?

• 7

• 6

• 4

• 72

Tags

CCSS.HSF.BF.A.2

A formula that requires the computation of all previous terms to find the value of a_n.

• Explicit Formula

• Recursive Formula

• Arithmetic Formula

• Geometric Formula

Tags

CCSS.HSF.BF.A.2