sum of 3 numbers in ap is 6 and sum of their squares is 14 find the numbers

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sum of 3 numbers in ap is 6 and sum of their squares is 14 find the numbers

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Allison 1 month 2021-08-23T04:29:59+00:00 2 Answers 0 views 0

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    0
    2021-08-23T04:31:06+00:00

    Answer:

    let the three numbers in A. P are:-

    (a-d), a, (a+d)

    sum of three numbers

    a-d+a+a+d=6

    3a =6

    a=2

    sum of their squares

    a^2 +(a-d) ^2 +(a+d) ^2=14

    2^2 +(2-d)^2 +(2+d)^2 =14

    4+4+d^2 – 4d+4+d^2 +4d=14

    12+2d^2 =14

    2d^2 =2

    d^2 =1

    d=root1=+-1 d has two values +1,-1

    the number are:-

    if d=+1

    a-d=2-(1)=1

    a=2

    a+d=2+1=3

    if d=-1

    a-d=2-(-1)=3

    a=2

    a+d=2+(-1)=1

    0
    2021-08-23T04:31:18+00:00

    Answer:

    1,2,and3 are the numbers

    Step-by-step explanation:

    1+4+9=14

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