Explicit Equations

Given the recursive formula below, find the explicit formula. a₁ = 5 a_n = a_n-1 - 6

• f(n) = 5 - 6(n - 1)

• f(n) = 5 - 6n

• f(n) = -1 - 6n

Which of the following equations is explicit?

• f(n) = 4n + 5

• f(n) = f(n-1) x 5

  f(2)=10

Which of the following equations is explicit?

• f(n) = 4n + 5

• f(n) = f(n-1) x 5

What is the explicit equation for this function?

• f(x) = 2x + 1

• f(x) = 2x - 1

• f(x) = 2x

• f(x) = 2x + 2

What's the explicit equation?

• f(n) = 3n -1

• f(n) = n + 3

• f(n) = f(n-1) +3

• f(n) = f(n+3) 

What is the explicit equation?

• f(n) = f(n-1) + 4

• f(n) = 4n -3

• f(n) = n + 4

• f(n) = f(n-1) +1

What's an explicit equation

• Normal equation. You plug in a n, you get the number you're looking for

• Instead of plugging in n, you plug in the previous number in the sequence

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

Given the explicit formula, find the f(3), which is the 3rd term.

• 6

• 12

• 3

• 1.5

Would you use the recursive or explicit equation in this situation?

• Recursive

• Explicit