half of 1002 = 501
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1002
200.4
1000
To compute this sum, we can use a nifty algebraic approach:Let S be the sum, so:S = 3 + 6 + 9 + 12 + ... + 996 + 999We can also write S as:S = 999 + 996 + ... + 12 + 9 + 6 + 3Adding these two equations together we get:2S = 1002 + 1002 + ... + 1002 + 1002Where there are 333 1002's in the above equation.This leads us to:2S = 1002 * 333S = 501 * 333 = 166,833.
1000