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Easy

Question

An infinite GP has first term x and sum 5, then

  1. x less than negative 10    
  2. negative 10 less than x less than 0    
  3. 0 less than x less than 10    
  4. x greater than 10    

The correct answer is: 0 less than x less than 10


    Since, S subscript infinity end subscript equals fraction numerator x over denominator 1 minus r end fraction equals 5 blank rightwards double arrow r equals fraction numerator 5 minus x over denominator x end fraction [thus open vertical bar r close vertical bar less than 1 right square bracket
    rightwards double arrow negative 1 less than fraction numerator 5 minus x over denominator 5 end fraction less than 1 blank rightwards double arrow blank 0 less than x less than 10

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