Algebra-1

To find the recursive rule from the explicit formula  = -12 + (n − 1)(−3), follow these steps:

Identify Parameters from the Explicit Formula:

The explicit formula is  = -12 + (n − 1)(−3).

This represents an arithmetic sequence where:

The initial term  is −12 (when n = 1,  = −12 + (1 − 1)(−3) = −12).

The common difference d is −3 (the coefficient of (n−1)).

Determine the Recursive Formula:

The general recursive formula for an arithmetic sequence is 

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