The sum of first n terms of an AP is (5n – n2). The nth term of the AP is

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Mathematics Foundation

Sum of n terms of an AP

Question

The sum of first n terms of an AP is (5n – n²). The nth term of the AP is

(5 – 2n)

(2n – 5)

(2n – 6)

(6 – 2n)

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T_n = (S_n – S_{n – 1}) = (5n – n²) – [5(n – 1) – (n – 1)² = (5n – n)²] – (7n – n² – 6) = (6 – 2n).