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Rajan@2021
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If sum of the 3rd and 8th term of an ap is 7 and the sum of the 7th and 14th term is -3.find the 10th term

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An important question from ML Agarwal (avichal publication) If sum of the 3rd and 8th term of an ap is 7 and the sum of the 7th and 14th term is -3.find the 10th term.
ML Publication, Class 10, Arithmetic Progression Chapter 9, question no. 16

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  1. nth term tn=a+(n1)d

    a= First term
    d= Common difference
    n= number of terms
    tn=nth term

    a3+a8=7a+2d+a+7d

    =72a+9d=7(i)

    a7+a14

    =3a+6d+a+13d

    =32a+19d=3(ii)

    From (i) & (ii)
    2a+9d=72a+19d=3

    10d=10d=1,a=8.

    a10=a+9d=8+9(1)=1

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