Explicit and Recursive Rules for Arithmetic Sequences

Identify the common difference.

-6, -3, 0, 3, 6....

• 4

• 3

• -4

• -3

What is the 15th term of the sequence an = -3n+50

• 95
• -5
• 5
• -95

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

What is the recursive equation for this function?

• f(0) = 5
  f(x) = f(x-1) - 2
• f(0) = 5
  f(x) = f(x-1) + 2
• f(0) = 5
  f(x) = f(x-1) - 3  
• f(0) = 5
  f(x) = f(x-1) + 3 

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

Arithmetic sequences involve

• multiplication and division
• multiplication and addition
• addition and subtraction
• subtraction and division

Each individual number in a sequence of numbers is called what?

• Common difference
• Successive term
• Term
• Geometric term

Specifies the step by which each term of the sequence is generated from the preceding term or terms.

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence