Sequences Explicit and 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)

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

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

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

Which recursive formula best describes the sequence 2, -6, 18, - 54...

• a₁ = 2; a_{n =} -4 a_n-1

• a₁ = 2; a_{n =} -8 a_n-1

• a₁ = 2; a_{n =} 2 a_n-1

• a₁ = 2; a_{n =} -3 a_n-1

Which of the following recursive equations describe the sequence shown in the graph?

•   a_n = 5n -2

  a₁ = 2

•  a_n = 2(5)ⁿ

  a₁ = 2

•  a_{n =} a_{n-1 *} 2

  a_{1 = 2}

• a_n = a_n-1 * 5

  a₁ = 2

• 1

• 2

• 3

• 4

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

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

• 2

• 0.0625

• 4

• 1

• 0.5

• 0.25

• 0.125

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

• 2

• 0.0625

• 4

• 1

• 0.5

• 0.25

• 0.125