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Simple calculation: 1 × 3:2002 + 3 × 5:2002 + 5 × 7:2002 + 7 × 9:2002 + 9 × 11:2002
1 × 3:2002 + 3 × 5:2002 + 5 × 7:2002 + 7 × 9:2002 + 9 × 11:2002 = 2002 / (1 * 3) + 2002 / (5 * 7) + 2002 / (7 * 9) + 2002 / (9 * 11) = 2002 * [1 / 2 (1-1 / 3 + 1 / 3-1 / 5 + 1 / 5-1 / 7 + 1 / 7-1 / 9 + 1 / 9-1 / 11) = 1001 (1-1 / 11) = 1001 * 10 / 11 = 91
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