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The sum of the first n terms of an A.P. is 3n2 + 6n. Find the nth term of this A.P.

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 It is given that the sum of the first n terms of an A.P. is 3n2+6n. Calculate the nth term of this A.P.

ML Aggarwal Avichal Publication  Arithmetic Progression Chapter 9 Question 16

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  1. sn=3n2+6n

    sn1=3(n1)2+6(n1)
    sn1=3(n22n+1)+6n6
    sn1=3(n22n+1)+6n6
    sn1=3n26n+3+6n6
    sn1=3n23
    tn=snsn1
    tn=3n2+6n3n2+3
    tn=6n+3

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