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 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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 re: Using Charlie's idea (spoiler?) | Comment 4 of 14 |
(In reply to Using Charlie's idea (spoiler?) by Bob Smith)

The formula you give checks out if you change the power of 2 in the numerator to n+2 rather than n+1, if you're starting numbering with n=0.  If starting numbering with n=1, then it's the power of 2 in the denominator that should change, from n+1 to just n.  In any case, the power of 2 in the numerator should be one higher than the power of 2 in the denominator in order to get the sequence 1/2, 1/10, 1/410, 1/1345210, 1/28953440450810.
 Posted by Charlie on 2005-12-21 15:54:00

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