1. write a recursive definition
2. write an explicit formula

1. a₁ = 14, aₙ = aₙ₋₁ - 4

2. aₙ= -13 + 7(n - 1)

Step-by-step explanation:

1. Recursive definition

a₁ = 14

a₂ = 10

a₃ =  6

a₄ =  2

Each term (aₙ) is four units less than the preceding term (aₙ₋₁)

The recursive definition is

a₁ = 14, aₙ = aₙ₋₁ - 4

2. Explicit formula

a₁ = -13

a₂ =   -6

a₃ =    1  

a₄ =    8

Each term (aₙ) is seven units more than the preceding term (aₙ₋₁)

The explicit formula is

aₙ= -13 + 7(n - 1)

step-by-step explanation:

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.