Algebra-1

To find the recursive rule for the sequence defined by  = −4 + (n − 1) × 6, follow these steps:

Identify Parameters from the Explicit Formula:

The explicit formula is  = −4 + (n − 1) × 6.

This represents an arithmetic sequence where:

The initial term  is −4 (when n=1,  = −4 + (1 − 1) × 6 = −4).

The common difference d is 6 (the coefficient of (n−1)).

Determine the Recursive Formula:

The general recursive formula for an arithmetic sequence is 

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