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    Question

    What is the value of 1² + 3² + 5² + 7² + 9²

    ................ 19²?
    A 1420 Correct Answer Incorrect Answer
    B 1330 Correct Answer Incorrect Answer
    C 1530 Correct Answer Incorrect Answer
    D 1770 Correct Answer Incorrect Answer

    Solution

    Sum of the squares of odd number = (n(n+1)(n+2))/6 Where n = Last term = (19×20×21)/6 = 1330 type-2 Sum of the squares of odd number = (n(2n+1) (2n-1))/3 Where n = (Last term+1)/2= (19+1)/2=10 = (10×21×19)/3 = 1330

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