A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

The rule f(n + 1) = f(n) − 5 means subtract 5 from each term to get the next term. In choice C, 3 − 5 = −2, −2 − 5 = −7, and −7 − 5 = −12. So the sequence 3, −2, −7, −12, ... follows the rule.

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