Răspuns:
Tₙ₊₁ = (11/10)ⁿ·a₁
Explicație pas cu pas:
aₙ₊₁ - aₙ = 1/10 · aₙ
aₙ₊₁ = ¹⁰⁾aₙ + aₙ/10 = >
aₙ₊₁ = 11aₙ/10
a₂ = 11a₁/10
a₃ = 11a₂/10 = 11·(11a₁/10)/10 = 121a₁/100 = (11/10)²·a₁
a₄ = 11a₃/10 = 11·(121a₁/100)/10 = (11/10)³· a₁ =>
Tₙ = (11/10)ⁿ⁻¹·a₁
Tₙ₊₁ = (11/10)ⁿ·a₁