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General
Easy

Question

The sum of the first and third term of an arithmetic series is 12 and the product of first and second term is 24, then first term is

  1. 1    
  2. 8    
  3. 4    
  4. 6    

The correct answer is: 4


    Let the first three terms of an AP are a minus d comma blank a and a plus d
    Since, open parentheses a minus d close parentheses plus open parentheses a plus d close parentheses equals 12
    rightwards double arrow blank a equals 6
    and a open parentheses a minus d close parentheses equals 24
    rightwards double arrow blank 6 minus d equals 4
    rightwards double arrow blank d equals 2
    therefore First term is a minus d equals 4

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