Making Explicit and Recursive Formulas

Find the first four terms of the sequence.

a_n= a_(n-1) - 18 where a₁=10

• 10, 8, -2, -12

• 28, 46, 64, 82

• -8, -26, -44, -60

• 10, -8, -26, -44

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

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

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

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence

On a scale of 1-5, 1 meaning "I have no clue what is going on" to 5 meaning "I got it completely," how would you rate your understanding of recursive & explicit sequences

• 1

• 2

• 3

• 4

• 5

What is the recursive rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11x 2

• a_n = 11(2)^n-1

• a_n = 2a_n-1

Write a sequence to represent the number of smiley faces in each group. Select all that apply.