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A program that will compute for and display the sum of all numbers divisible by 3 from 1 to 1000?
Wiki User
∙ 14y ago
To compute this sum, we can use a nifty algebraic approach:
Let S be the sum, so:
S = 3 + 6 + 9 + 12 + ... + 996 + 999
We can also write S as:
S = 999 + 996 + ... + 12 + 9 + 6 + 3
Adding these two equations together we get:
2S = 1002 + 1002 + ... + 1002 + 1002
Where there are 333 1002's in the above equation.
This leads us to:
2S = 1002 * 333
S = 501 * 333 = 166,833.
Wiki User
∙ 14y ago
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