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Finites series product sum question

  • 03-04-2016 12:39AM
    #1
    thepikminman
    Registered Users, Registered Users 2 Posts: 178 ✭✭


    Hi,

    I'm struggling with this question:

    Calculate the sum of the first 39 terms of the sequence:
    4/9, 2/3, 1, 3/2, 9/4, 27/8, 81/16, ....

    I can see that each term is multiplied the 3/2 and I got to the equation:
    (3^(n-3))x(2^(3-n)) and this works to get any nth term, but I am unsure how to get the sum. Any help?


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