8.5 Recursive Sequences

Find the first five terms.

Find the first four terms of the sequence.

a_n= 2a_(n-1) + n where a₁= 0

• 0, 0, 0, 0

• 0, 1, 4, 12

• 0, 1, 2, 4

• 0, 2, 7, 18

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

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

• 2
• 3
• 5
• 8
• 4
• 6
• 7
• 15

Given the arithmetic sequence: 22, 17, 12, 7, . . . . What is the recursive formula that models the sequence?

• a₁ = 7

  a_n = a_n-1 − 5

• a₁ = 22

  a_n = a_n-1 − 5

• a₁ = 7

  a_n = a_n-1 + 5

• a₁ = 22

  a_n = a_n-1 + 5

Write the recursive formula for 4, 8, 12....

• a_n=a_n-1-7

• a_n=a_n-1-4

• a_n=a_n-1+3

• a_n=a_n-1+4

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 - 8

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

Write the recursive formula of 13, 9, 5...

• a_n=a_n-1-4

• a_n=a_n-1+3

• a_n=a_n-1-5

• a_n=a_n-1+4