Q. 414.3( 6 Votes )

If d be the common difference of an A.P. and Sn be the sum of its n terms, then prove that d = Sn - 2Sn-1 + Sn-2

Answer :

Given: Sn be the sum of n terms and d be the common difference.

To Prove: d = Sn - 2Sn-1 + Sn-2

Taking RHS

Sn - 2Sn-1 + Sn-2

= d


Hence Proved

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