Algebra-1

To derive the recursive rule from the explicit formula  = 16 + (n − 1)(−5), follow these steps:

Identify the Pattern:

The given explicit formula is  = 16 + (n − 1)(−5).

This formula describes an arithmetic sequence where:

The initial term (when n=1) is  = 16.

The common difference d is −5 (the coefficient of (n−1)).

Write the Recursive Rule:

The general form for a recursive rule is:

=

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