Algebra-1

To find the recursive rule for the sequence defined by  = 5 + (n − 1)(−14), follow these steps:

Identify Parameters from the Explicit Formula:

The explicit formula is  = 5 + (n − 1)(−14).

This represents an arithmetic sequence where:

The initial term  is 5 (when n = 1,  = 5 + (1 − 1) × (−14) = 5).

The common difference d is−14 (the coefficient of (n−1)).

Determine the Recursive Formula:

The general recursive formula for an arithmetic sequence is 

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