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A first-order linear recurrence aₙ₊₁ = m·aₙ + c generates each term from the previous one. Its fixed point c/(1 − m) is the value that maps to itself, and the sequence converges to it when |m| < 1.
Linear recurrence
aₙ₊₁ = m·aₙ + c, fixed point L = c / (1 − m)
2, 7, 22, 67, 202, 607, 1822, 5467.
When |m| < 1, in which case it approaches the fixed point regardless of the starting value.