The nth term of a sequence is Tn = 5 + (n - 1)2. Evaluate T4 - T6

The n^th term of a sequence is T_n = 5 + (n - 1)². Evaluate T₄ - T₆

Answer Details

To evaluate T₄ - T₆, we first need to find the values of T₄ and T₆. T₄ = 5 + (4 - 1)² = 5 + 9 = 14 T₆ = 5 + (6 - 1)² = 5 + 25 = 30 Therefore, T₄ - T₆ = 14 - 30 = -16 Hence, the answer is -16.