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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Puzzle Answer

Comment 15 of 15 |

The required sum is given by:

- 2^(n+1)

S(n) = -------------------

(3^(2^n) - 1)

Posted by K Sengupta on 2023-12-10 19:58:29

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