Explicit and Recursive

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

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 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

What are the next 2 terms of this arithmetic sequence:

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What is the 8^th term in the geometric sequence ?

• 49,152

• 196,608

• 12,288

• 8748

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

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

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence

Write a recursive formula for the sequence 17,13,9,5...

• a₁ = _17_ , a_n=a_n-1 - 4 __

• a₁ = _13 , a_n=a_n-1 - 4_

• a₁ = _-4 , a_n=a_n-1 -17__

• a₁ = _13 , a_n=a_n-1 +4 ____