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If Sn denotes the sum of first n terms of an A.P.., whose common difference is d, then Sn – 2Sn–1 + Sn–2 (n > 2) is equal to

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If Sn denotes the sum of first n terms of an A.P.., whose common difference is d, then Sn – 2Sn–1 + Sn–2 (n > 2) is equal to

(A) 2d 

(B) – d 

(C) d 

(D) None of these

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1 Answer

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Best answer

Correct option (C) d

Explanation:

Sn – 2Sn–1 + Sn–2 = (Sn – Sn–1) – (Sn–1 – Sn–2) = Tn – Tn–1 = common difference

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