Find the sum of all the three digit numbers which leave the remainder 3 when divided by 5.
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This describes the sum of the first 1 8 0 terms of the arithmetic sequence with first term a 1 = 1 0 3 and common difference d = 5 . The sum is given by:
S 1 8 0 = 2 1 8 0 ( a 1 + a 1 8 0 ) = 9 0 ( 1 0 3 + 9 9 8 ) = 9 9 0 9 0