5. Consider the sequence defined by t₁ = t₂ = t3 = 1 and tn = tn−1 + tn−2 + tn−3 for n ≥ 4. Use induction to prove that
Posted: Wed Jul 06, 2022 11:45 am
5. Consider the sequence defined by t₁ = t₂ = t3 = 1 and tn = tn−1 + tn−2 + tn−3 for n ≥ 4. Use induction to prove that t₁ < 2" for all positive integer n.