Write a recursive rule for the sequence = 9 + (n − 1) × 7

To derive the recursive rule from the explicit formula = 9 + (n − 1) × 7, follow these steps:

Identify Parameters from the Explicit Formula:

The explicit formula is = 9 + (n − 1) × 7.

This represents an arithmetic sequence where:

The initial term is 9 (when n = 1, = 9 + (1 − 1) × 7 = 9).

The common difference d is 7 (the coefficient of (n−1)).

Determine the Recursive Formula:

The general recursive formula for an arithmetic sequence is

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Algebra-1