MathematicsState True/ False:If 7 times the 7th term of A.P. is equal to11 times the 11th term, then the 18th term is 0.

State True/ False:


If 7 times the 7th term of A.P. is equal to11 times the 11th term, then the 18th term is 0.


  1. A
    True
  2. B
    False  

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    Solution:

    Given that,
    7 a 7 =11 a 11  
    We know that,
    a n =a+(n1)d  
    Then,
    7 a 7 =11 a 11 7 a+6d =11 a+10d 7a+42d=11a+110d 4a+68d=0   Taking out common multiple,
    a+17d=0 a+ 181 d=0 a 18 =0  
    So, a+17d   is equal to the general form of 18th term.
    Therefore, if 7 times the 7th term of A.P. is equal to11 times the 11th term, then the 18th term is 0.
    Therefore, the given statement is true.
    Hence, option 1 is correct.
     
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