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If A subscript 1 end subscript comma A subscript 2 end subscript comma horizontal ellipsis comma A subscript 100 end subscript are sets such that n open parentheses A subscript i end subscript close parentheses equals i plus 2 comma A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript horizontal ellipsis subset of A subscript 100 end subscript and not stretchy ⋂ from i equals 3 to 100 of A subscript i end subscript equals A comma then n open parentheses A close parentheses equals

  1. 3  
  2. 4  
  3. 5  
  4. 6  

The correct answer is: 5


    It is given that A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 100 end subscript
    therefore not stretchy ⋃ from i equals 3 to 100 of A subscript i end subscript equals A rightwards double arrow A subscript 3 end subscript equals A rightwards double arrow n open parentheses A close parentheses equals n open parentheses A subscript 3 end subscript close parentheses equals 3 plus 2 equals 5

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