Algebra-1

To find the recursive rule for the sequence defined by  = 999 + (n − 1)(−9999), follow these steps:

Identify Parameters from the Explicit Formula:

The explicit formula is  = 999 + (n − 1)(−9999).

This represents an arithmetic sequence where:

The initial term   is 999 (when n = 1,  = 999 + (1 − 1) × (−9999) = 999).

The common difference d is −9999 (the coefficient of (n−1)).

Determine the Recursive Formula:

The general recursive formula for an arithmetic sequence is

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