perplexus.info :: Just Math : Evaluate this sum

Evaluate this sum (Posted on 2005-12-21)

Evaluate this sum in terms of n (the number of terms):

        1      2       4        8          16         
   S = --- + ----- + ----- + ------- + ---------- + ..... 
        2      5       41     3,281    21,523,361

See The Solution Submitted by pcbouhid

Rating: 4.3333 (3 votes)

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ideas

| Comment 1 of 15

The numerators are powers of 2. The denominators are just large enough to prevent the total from reaching 1.

I don't know if in every instance there will be a denominator that would make the total exactly 1. If there is, then that would simplify finding the answer.

Posted by Charlie on 2005-12-21 12:17:26

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