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The first difference of a sequence is 6, 10,14,18. The sum of the first two terms of the original sequence is 24. Find the first three term of the original sequence. the first term of the original sequence is?

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    Sra

  • college -

    let the first three terms be a, b, and c

    we know
    a+b = 24 (#1)
    b-a = 6 (#2)
    c-b =10 (#3)

    add 1 and 2
    2b = 30
    b=15

    in 1 ---> a+15 = 24 ,
    a = 9

    in 3
    c - 15 = 10
    c = 25

    a=9
    b=15
    c=25

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