Algebra-1

To determine whether the formula = −3n + 5 is explicit or recursive, let's clarify the concepts:

Explicit Formula

An explicit formula gives a direct expression for the n-th term of a sequence. It allows you to compute  directly using  without needing information from previous terms. In other words, the formula expresses  in terms of alone.

Recursive Formula

A recursive formula defines each term of a sequence based on the previous term(s). It typically includes an initial term and a rule that shows how to get from one term to the next.

Analysis of = −3n + 5

Explicit Formula: The given formula  = −3n + 5 directly calculates the value of  for any integer . You don't need to know the previous term(s) to compute