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Rajan@2021
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The sum of three numbers in AP is 3 and their product is -35. Find the numbers.

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One of the basic question from arithmetic progression chapter in which we are to find the numbers, if their product is -35 and their sum is 3.

RS Aggarwal, class 10, chapter 5B, question no 7

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  1. Let a−d,a,a+d are three numbers in AP.
    Their sum=a−d+a+a+d=3
    3a=3
    or a=1
    Again,
    Their Product=(a−d)×a×(a+d)=−35
    a(a^2−d^2)=−35
    (1^2−d^2)=−35
    or d=±6
    d=6 or d=−6
    We have 2 conditions here:
    At a=1,d=6
    Numbers are: −5,1 and 7
    At a=1 and d=−6
    Numbers are: 7,1,−5.

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