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JEE Main & Advanced Mathematics Sequence & Series Question Bank Mock Test - Sequences and Series

  • question_answer
    The largest term common to the sequences 1, 11, 21, 31 ,..to 100 terms and 31, 36, 41, 46,..to 100 terms is

    A) 381

    B) 471

    C) 281                 

    D) none of these

    Correct Answer: D

    Solution :

    [d] \[{{100}^{th}}\]term of 1, 11, 21, 31, ?is 1+ (100-1) 10=991.\[{{100}^{th}}\]term of 31, 36, 41, 46, ?is 31 +(100-1) 5=526. let the largest common term be 526. Then. 526=31+(n-1)10 Or n=50.5 But n is an integer; hence n=50. Hence, the larg3est common terms is 31+(50-1)10=521.


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