Recursive and Explicit Arithmetic Sequence

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 formula for the following sequence: 10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

Which of the following equations is explicit?

• f(n) = 4n + 5

• f(n) = f(n-1) x 5

Which of the following equations is recursive?

• f(n) = f(n-1) +4

• f(n) = 2n - 5

• 1

• 2

• 3

• 4

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

Find the first 5 terms of the sequence.

• -7, -12, -27, -72, -207

• -7, -10, -13, -16, -19

• -7, -21, -63, -189, -567

• 9, 36, 117, 360, 1089

• 16

• 23

• 4

• 30

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence

This is an arithmetic sequence. How many dots would be in the next figure?

• 4

• 13

• 14

• 15