Algebra-1

To determine whether the formula = 4n + 7 is explicit or recursive, let’s examine the definitions and apply them to the given formula.

Explicit Formula: An explicit formula provides a direct calculation for the n-th term of a sequence. It expresses  directly in terms of  without referring to any other terms in the sequence. In other words, you can compute  directly from  using the formula alone.

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

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

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

Analysis of  = 4n + 7

Explicit Formula: The formula = 4n + 7 is an explicit formula because it provides a direct way to calculate

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