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Math Help - Help : Find Number Of Terms Of Geometric Series

  1. #1
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    Unhappy Help : Find Number Of Terms Of Geometric Series

    Hello All ,


    i want to solve this geometric series please :

    Number of Terms = M
    Terms Start From = 1
    The Last Term (An) Is 0.5 = 31/16

    Find The Number Of Terms "M"

    Thanks Sooo Much
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  2. #2
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    One thing that bothers me about this is you say "The Last Term (An) Is 0.5 = 31/16". Presumably you are aware the 0.5 is NOT equal to 21/16 so that cannot mean what you say. What did you mean by that? Is it possible that the first term is 1, the "common ratio" is 0.5 and the sum of the first M terms is 31/16?

    If that is the case then you need to solve \frac{1- 0.5^{M-1}}{1- 0.5}= 2(1- 0.5^{M-1})= 2- 0.5^M= 31/16. for M.
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  3. #3
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    Smile

    NOTE : i've added a picture in this replay so you know what i mean

    what i mean in (An) = 0.5

    is the last term of the series is "grade of last term is" 0.5 "i dont know how but i got it like this "

    ya the sum is 31 / 16


    and the first term is A1 which is unknown value

    but thanks i think your answer was the right one

    ill come back tomorrow ,,, ill see what's the right answer exactly from my teacher and come back

    and thanks again
    Attached Thumbnails Attached Thumbnails Help : Find Number Of Terms Of Geometric Series-picture.jpg  
    Last edited by killersouls; October 12th 2010 at 02:07 PM.
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  4. #4
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    but is there any program can solve the series ? ,,, if yes please let me know it's name
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