This is another stimulating little problem from the 2022 Math Calendar.

“a₁ = 1, a₂ = 2, …, a_n+1 = a_n + 6a_n-1

x = lim a_n+1/a_n   as   n → ∞

Solve for x.”

As before, recall that all the answers are integer days of the month.

Answer.

See Stimulating Sequence for a solution.