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    Question

    The sum of six consecutive even numbers is 78. What is

    the sum of the squares of these numbers?
    A 1084 Correct Answer Incorrect Answer
    B 1060 Correct Answer Incorrect Answer
    C 1020 Correct Answer Incorrect Answer
    D 1050 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the first number be x x + x ┬а+ 2 + x ┬а+ 4 + x ┬а+ 6 + x ┬а+ 8 + x ┬а+ 10 = 78 тЗТ 6 ┬аx + 30 = 78 тЗТ 6 ┬аx = 78 тАУ 30 тЗТ ┬а 6 ┬аx = 48 тЗТ ┬а┬а x = 8 Sum of the squares of the numbers = 8┬▓ + 10┬▓ + 12┬▓ + 14┬▓ + 16┬▓ + 18┬▓ = 1084

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