Question

    The sum to n terms of the series 1 + 1 + 3 + 1 + 3 + 5 +

    1 + 3 + 5 + 7 …………………… is
    A ((n(n+1))/2)² Correct Answer Incorrect Answer
    B n² Correct Answer Incorrect Answer
    C (n(n+1)(2n+1))/6 Correct Answer Incorrect Answer
    D none of these Correct Answer Incorrect Answer

    Solution

    1 + (1 + 3) + (1 + 3 + 5) +..... = this will be something like : 1 + 4 + 9 + 16 + 25 + 36.... .... (ie. the sum of squares of natural numbers)

    and the sum of squares of n terms can be given by : n(n+1)(2n+1)/6

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