Recursive and Explicit Equations

What's the recursive equation?

• f(n) = f(n-1) x 3

• f(n) = f(n x 3) - 1

• f(n) = f(n-1) + 10

• f(n) = 3^n-1

Which of the following equations is recursive?

• f(n) = 3n+2

• f(n) = f(n-1) + 3

  f(1)=5

Which of the following equations is explicit?

• f(n) = 4n + 5

• f(n) = f(n-1) x 5

  f(2)=10

The explicit equation for this table is

• f(n) = 4n - 1

• f(n) = 4ⁿ

• f(x) = 3ⁿ

• f(x) = 3(4)^{n - 1}

What is the explicit equation for this function?

• f(x) = -3x - 11

• f(x) = 3x - 11

• f(x) = -3x - 5

• f(x) = -3x - 8

What is the recursive equation for this function?

• f(0) = -11
  f(x) = f(x-1) + 3

• f(0) = -8
  f(x) = f(x-1) + 3

• f(0) = -11
  f(x) = f(x-1) - 3

• f(0) = -5
  f(x) = f(x-1) - 3

What is the explicit equations for this function? 

• f(x) = -2x + 5

• f(x) = -2x + 0

• f(x) = 2x + 5

• f(x) = 2x + 0

What is the recursive equation for this function?

• f(0) = 3
  f(x) = f(x-1) +2

• f(0) = 3
  f(x) = f(x-1) + 5

• f(0) = 3
  f(x) = f(x-1) + 3

• f(0) = 3
  f(x) = f(x-1) * 3

Which equation would be best for helping you find the 72^nd term?

• f(n) = 4(2)ⁿ⁺⁵

• f(n) = f(n-1) * 2

  f(0)=6

What is the recursive equation for this function?

• f(0) = 1

  f(x) = f(x-1) - 2

• f(0) = 1

  f(x) = f(x-1) + 2

• f(1) = 1

  f(x) = f(x-1) + 2

• f(1) = 1

  f(x) = f(x-1) - 2