99 Bottles of Beer on the Wall
In the song "99 bottle of beer on the wall" what is the total sum of all the numbers sung throughout the whole song including the repeats?
Have fun counting
xoxo
Kristie
Have fun counting
xoxo
Kristie
Labels: puzzle, SharedPuzzle
posted by Mr Fahrenheit at
7:00 AM
10 Comments:
14,850
Sounds like a good weekend to me!
How about 14,850
"99" bottles of beer on the wall,
"99" bottles of beer,
Take "1" down, pass it around,
"98" bottles of beer on the wall.
first round (99) gives 297 (99 + 99 + 1 + 98).
each sucessive round is reduced by 3. (ie 98 + 98 + 1 + 97)..
so 297 + 294 + 291 + ... + 6 + 3 + 0 = 14,850
I was going to say 14751, but that's because I missed the "Take _one_ down" number.
Its 99, coz u start off with 99
i agree with 14,850, but actually it might be 14,849-- on the last line the song could go
"1 bottle of beer on the wall
1 bottle of beer
take IT down, pass it around
zero bottles of beer on the wall"
the total there is 2, not 3 :)
I've never heard the song before, but I just looked at the 99th triangle number, which I worked out as 4950
I've never heard the song before, but I just looked at the 99th triangle number, which I worked out as 4950
Another way to do it is to look at it backwards. The summation of t from t=1 to n is equal to n(n+1)/2.
You sum to 99 twice, then to 98 once, and you add 1, 99 times. So it would be:
99(100/2)*2 + 98(99/2) + 99 = 14850
79
Great work.
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