Algebra-1

To find the recursive rule for the sequence defined by  = 101 + (n − 1) × 1001, follow these steps:

Identify Parameters from the Explicit Formula:

The explicit formula is  = 101 + (n − 1) × 1001.

This represents an arithmetic sequence where:

The initial term  is 101 (when n = 1,  = 101 + (1 − 1) × 1001 = 101).

The common difference d is 1001 (the coefficient of (n−1)).

Determine the Recursive Formula:

The general recursive formula for an arithmetic sequence is 

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