74. Sum of Paired Products The first five positive integers are 1, 2, 3, 4, and 5. The first five multiples of 6 are 6, 12, 18, 24, and 30. For each position, multiply the two corresponding numbers (1 × 6, 2 × 12, and so on). What is the sum of these five products? Added 15 December 2010 Show Hint Show Solution Hint: Find each product separately, then add the five results together. Solution: The paired products are:1 × 6 = 62 × 12 = 243 × 18 = 544 × 24 = 965 × 30 = 150Sum: 6 + 24 + 54 + 96 + 150 = 330.Therefore, the required sum is 330.
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