1 2 3 4 .... 1002 what is the sum of the sequence

1 answer:

3 0

<span>As far as i know it is related to Gauss.
Write the sequences forward and backward first.

1 +2 +3 +.....+1002
1002+1001+1000+.....+1
--------------------------------------... Adding them
1003+1003+......(1002 times)
=1002x1003
But this contains the series twice.
So, the sum is = 1002x1003/2=501x1003=502503. answer</span>

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