Explicit and Recursive

Determine whether the sequence is arithmetic, geometric, or neither:
-4, 1, 6, 11, ...

• arithmetic
• geometric
• neither

Determine whether the sequence is arithmetic, geometric, or neither: 
2, 8, 32, 128, ...

• arithmetic
• geometric
• neither

The difference between two terms in an arithmetic sequence is called ___________________.

• Formula

• Common Ratio

• Common Difference

• Common Factor

What is the difference between an arithmetic sequence and a geometric sequence?

• Arithmetic you add to get from one term to the next and geometric you multiply to get from one term to the next
• Arithmetic you multiply to get from one term to the next and geometric you add to get from one term to the next
• There is no difference, you add for both
• There is no difference, you multiply for both

A formula that requires finding all previous terms to find the value of a_n.

• Explicit Formula

• Recursive Formula

• Arithmetic Formula

• Geometric Formula

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)

Find $a_4$  for the sequence 2, 9, 16, 23, 30,...

• 16

• 23

• 4

• 30

Determine the 3rd term of the sequence.

a₁=5

a_n= a_n-1 - 1

• 4

• 6

• 3

• 15

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)