Algebra-1

To find the recursive rule for the sequence defined by  = 2500 + (n − 1) × (-500), follow these steps:

Identify Parameters from the Explicit Formula:

The explicit formula is  = 2500 + (n − 1) × (-500).

This represents an arithmetic sequence where:

The initial term  is 2500 (when n=1,  = 2500 + (1 − 1) × (−500) = 2500).

The common difference d is −500 (the coefficient of (n−1)).

Determine the Recursive Formula:

The general recursive formula for an arithmetic sequence is 

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