Algebra-1

To determine whether the formula =  − 4 with = 10 is explicit or recursive, let’s look at the definitions:

Explicit Formula

An explicit formula provides a direct calculation for the n-th term of a sequence. It gives you in terms of  alone, without needing to reference previous terms in the sequence.

Recursive Formula

A recursive formula defines each term in the sequence based on the previous term(s). It usually includes:

A base case (or initial condition) that provides the value for the first term (or terms).

A recursive rule that shows how to calculate the n-th term from the ()-th term (or earlier terms).

Analysis of  =  − 4  with  = 10

Recursive Formula: The given formula = 

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