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Sequence

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Question

Find the sum of all odd, three-digit numbers which are divisible by $5$ .

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Solution

Sum $= 100 + 105 + 110. + . . . . + 990 + 995 = 100 + (105 + 995) + (110 + 990) + . . . . . = 100 + 78 (1100) + 550 = 8450$

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