Algebra-1

To determine whether the formula = -13 + (-16)(n - 1) is explicit or recursive, let's analyze its nature based on the definitions of explicit and recursive formulas.

Explicit Formula: An explicit formula gives a direct calculation for the n-th term of a sequence using  alone. It allows you to compute  directly without needing information about previous terms.

Recursive Formula: A recursive formula defines each term based on previous term(s). It usually includes:

An initial condition (or base case) that provides the value of the first term (or terms).

A recursive rule that describes how to find  from previous terms, such as expressed in terms of  or other previous terms.

Analysis of  = -13 + (-16)(n - 1) 

Explicit Formula: The given formula = -13 + (-16)(n - 1) directly computes the n-th term of the sequence using . You substitute the value of

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