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    Question

    src="https://www.ixambee.com/questionimage/Chapter/1647411908-s6.png" alt="" />
    A 6179/15275 Correct Answer Incorrect Answer
    B 6070/14973 Correct Answer Incorrect Answer
    C 7191/15174 Correct Answer Incorrect Answer
    D 5183/16423 Correct Answer Incorrect Answer

    Solution

    This series consists of two different series one having 2 numbers as product in denominator and the other has three numbers as product in the denominator lat terms in each series is┬а 1 / 19├Ч21├Ч23 and 1 /28├Ч31 1 / 1├Ч3├Ч5 + 1 / 1├Ч4 + 1 / 3├Ч5├Ч7 +┬а 1 / 4├Ч7 +┬а 1 / 5├Ч7├Ч9 +┬а 1 /7├Ч10 +тАжтАж. upto 20 terms = 1 / 1├Ч3├Ч5 + 1 / 3├Ч5├Ч7 + 1 / .. 1├Ч4 + 1 / 4├Ч7 + . . = 1 /4 (1 / 1├Ч3 тИТ┬а 1 / 3├Ч5 + 1 / 5├Ч7 + 1 / 7├Ч9 ... тАУ 1 / 21├Ч23 + 1 / 1├Ч3 ( 1 / 1тИТ 1 / 4 + 1 / 4 тАУ 1 / 7 .. тАУ 1 / 31) = 1 /4(1 /┬а 1├Ч3 тАУ 1 / 21├Ч23 ) + 1 / 1├Ч3 (1 / 1 тАУ 1 / 31) = 40 / 483 + 10 / 31 = 6070 / 14973

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