CAT Quant Practice Problems

Question: What is the sum of the series: \(\frac{1}{{\left( {1 \times 2} \right)}} + \frac{1}{{\left( {2 \times 3} \right)}} + \frac{1}{{\left( {3 \times 4} \right)}} + ..... + \frac{1}{{\left( {100 \times 101} \right)}}?\)
  1. \(\frac{{99}}{{100}}\)
  2. \(\frac{1}{{100}}\)
  3. \(\frac{{100}}{{101}}\)
  4. \(\frac{{101}}{{102}}\)

Correct Option:3

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