Recursive and Explicit Rule

1. 1. Given the recursive formula below, find the explicit formula.  

a₁ = 3, a_n = a_n-1 + 7

Explicit: a_n = _______

(write your equation in simplest form)

2. 2. Given the recursive formula below, determine the explicit formula.  

a₁ = 5, a_n = a_n-1 + 6

Explicit: a_n = _______

(write your equation in simplest form)

3. 3. Given the recursive formula below, find the explicit formula.  

a₁ = 20, a_n = a_n-1 - 9

Explicit: a_n=_____

3. 4. Find the explicit formula.  

a₃ = 12, a_n = 0.5 x a_n-1

Explicit: a_n=a₁(r)^n-1

(write your equation in simplest form)

Mathematical Equivalence

ON

3. 5. Find the explicit formula.  

a₄ = -32, a_n = 2a_n-1

Explicit: a_n=a₁(r)^n-1

(write your equation in simplest form)

Mathematical Equivalence

ON

3. 6. Find the explicit formula.  

a₂ = 15, a_n = 3a_n-1

Explicit: a_n=a₁(r)^n-1

(write your equation in simplest form)

Mathematical Equivalence

ON

3. 7. Find the explicit formula.  

a₄ = 50, a_n = a_n-1 - 12

Explicit: a_n=_____

3. 8. Find the explicit formula.  

a₅ = 60, a_n = a_n-1 - 15

Explicit: a_n=_____

3. 9. Find the explicit formula.  

a₃ = 38, a_n = a_n-1 + 7

Explicit: a_n=_____

3. 10. Find the explicit formula.  

a₁ = 60, a_n = (.25)a_n-1

Explicit: a_n=a₁(r)^n-1

(write your equation in simplest form)

Mathematical Equivalence

ON