MathematicsState true/ false:The sum of the first three terms of an A.P. is 15, If the sum of their squares is 93, then the A.P. is 2, 5, 8…..

State true/ false:


The sum of the first three terms of an A.P. is 15, If the sum of their squares is 93, then the A.P. is 2, 5, 8…..


  1. A
    True
  2. B
    False  

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    Solution:

    Given,
    The sum of the 3 terms is 15 and the product is 93.
    Let the three terms be,
    ad,a,a+d    We know that,
    The sum of the 3 terms is 15,
    So,
    ad+a+a+d=15 3a=15 a=5  
    Given that,
    The product of three terms is 93.
    Thus,
    ad 2 + a 2 + a+d 2 =93 3 a 2 +2 d 2 =93 75+2 d 2 =93 d=3   Calculating the A.P.,
    a 1 =ad  
    a 1 =53  
    a 1 =2  
    a 2 =5  
    a 3 =a+d  
    a 3 =5+3   a 3 =8  
    Hence, the AP is 2, 5, 8,....
     
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