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    alistairfury's Avatar
    alistairfury Posts: 1, Reputation: 1
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    #1

    Mar 13, 2012, 12:51 PM
    Number sequences
    Greeetings,
    Does anyone know any number sequences such that the sum of the first n of these is not equal to a sum (with repition allowed )of any n of these first n numbers .Thanks.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Mar 13, 2012, 01:59 PM
    I'm not following the question. Suppose the first 5 numbers add to a particular sum, call it S5. Then if you set n=5 the sum of the first n numbers is obviously S5. Example: if the sequence is 1,2,3,4,5,6,7,8,. and if n = 5 then Sn = 1+2+3+4+5 = 15. This of course equals the sum of 5 of the first 5 numbers. So how could any sequence of numbers satisfy the condition you're asking about?
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