Explicit and Recursive

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

Is the given sequence geometric?

• Yes

• No

• Cannot be determined

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

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

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

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

Which sequence can be found using the recursive formula a₁=6, a_n= 4a_n-1, n>2

• 6,10,14,20...

• 2,6,10,14...

• 6,24,96,384...

• 6,12,18,24,...

• 24

• 7,776

• 48

• 96

Write the explicit formula for the sequence.