Recursive Formula for Sequences

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 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

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

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

Write the Recursive Formula for the following sequence:

26, 18, 10, 2, -6...

A sequence is defined recursively by the function below. What are the terms of the sequence?​ a_3=​ a_8=​

• 2

• 0.0625

• 4

• 1

• 0.5

• 0.25

• 0.125

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 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

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)

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)