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arithmetic

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the sum of the 4th and 8th terms is 10, and the sum of the 6th and 12th terms is 22. Find the first three terms.

  • arithmetic - ,

    a + 3d + a + 7d = 10
    2a + 10d = 10
    a + 5d = 5

    a+5d + a+11d = 22
    2a + 16d = 22
    a + 8d = 11

    subtract them
    3d = 6
    d = 2
    back into the first
    a + 5d = 5
    a + 10 = 5
    a = -5

    first 3 terms are -5, -3, -1

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