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If the sum of n terms of an A.P is nP+1/2n(n-1)Q, where P and Q are constants, find the common difference.

Posted by Bhavesh Batra 8 years, 1 month ago

CBSE > Class 11 > Mathematics

1 answers

Akash Tripathi 8 years, 1 month ago

Sn= np+n(n-1)q/2 S(n-1)=(n-1)p+(n-1)(n-2)q/2 Now, Sn-S(n-1)=Tn So, Tn=p+(n-1)q T(1)=p. T(2)=p+q So common difference = T(2)-T(1)=q {Ans.}

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