Question

A sequence {Tₙ} is defined for n ≥ 1 as follows:

Q: Answer-A sequence {Tₙ} is defined for n ≥ 1 as follows: I) T₁ + T₂ = 16 II) For every n ≥ 3, Tₙ = Tₙ₋₁ + Tₙ...

Let T a, T b. Then T T T 2 a b 2 T T T 2 a b 2 b 2 a 2b 4 Given T 22 a 2b 4 22 a 2b 18 1 Also T T 16 a b 16 2 Subtract 2 from 1 a 2b a b 18 16 b 2 Then a 16 b 16 2 14 Now T a b 2 14 2 2 18 T 22 given, consistent T T T 2 22 18 2 42 T T T 2 42 22 2 66 So T 66.