The nth term of a sequence is Tn = 5 + (n – 1)2. Evaluate…

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

Correct Answer: Option C

Explanation

T₄ = 5 + (4 – 1)²; where n = 4
= 5 + (3)² = 5 + 9
= 14
T = 5 + (6 – 1)²
where n = 6
= 5 + (5)²
= 5 + 25 = 30
T⁴ + T⁶ = 14 – 30
= -16