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    Question

    Determine the 6052nd term in the series 5,5,7,7,7,7,9,9,9,9,9,9,11,….

    A 125 Correct Answer Incorrect Answer
    B 150 Correct Answer Incorrect Answer
    C 165 Correct Answer Incorrect Answer
    D 145 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Each term n is repeated n times. 5 is repeated twice, ending in the 2nd position. 7 is repeated four times, ending in the 6th position. 9 is repeated six times, ending in the 12th position, and so forth. When term 148 is repeated 148 times, The cumulative total reaches 6048. Thus, term 150 starts at the 6049th position and continues, So, the 6052nd term is 150.

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