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March 29, 2017

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The 6th term of an arithmetic sequence is x while
the 11th is y find the 1st 2 terms

  • math - ,

    a+5d = x
    a+10d = y
    subtract them
    5d = y-x
    d = (y-x)/5
    and
    a + 5(y-x)/5 = x
    a + y - x = x
    a = 2x - y

    first two terms are:
    t1 = 2x-y
    t2 = 2x-y + (y-x)/5 = (10x - 5y + y-x)/5
    = (9x - 6y)/5

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