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Justify whether it is true to say that the following are the nth term of an AP? (i) 2n-3

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An important question from ML Agarwal of Class10 for board examination We have been asked Justify whether it is true to say that the following are the nth term of an AP? (i) 2n-3
ML Agarwal (avichal publication) arithmetic progression chapter 9 question no 27(i)

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  1. an=2n3
    a1=2(1)3=23=1
    a2=2(2)3=43=1
    a3=2(3)3=63=3
    a4=2(4)3=83=5
    So, d1=1(1)=2,d2=31=2,d3=53=2
    As d1=d2=d3=2, hence an=2n3 is the nth term of an A.P.

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