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Endless Summer (Posted on 2003-10-20) Difficulty: 2 of 5
Suppose that the song "99 Bottles of Beer on the Wall" was sung from beginning to end.

What would be the sum of all the numbers (including repeats, of course) in the song?

Then, suppose you have some arbitrary number n bottles, which you would like to sing about. Find a formula in terms of n for the sum of all the numbers you will be singing.

See The Solution Submitted by DJ    
Rating: 4.0000 (9 votes)

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Answer | Comment 8 of 9 |


The required sum of all the numbers  in the song is 14850.


The required formula in terms of n is : (3/2)*n(n+1).

Edited on September 4, 2008, 1:37 pm
  Posted by K Sengupta on 2008-09-04 13:20:41

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