Question

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

Answer 1

f(n+1) = f(n) − 5 generates any arithmetic sequence with common difference −5.

General term: f(n) = f(1) − 5(n−1).

Example: 20, 15, 10, 5, 0, −5, ... (each term is 5 less than the previous one).