1. Write a recursive definition2. Write an explicit formula
Accepted Solution
A:
Answer: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)