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SEAMO 2027 - Paper C - SET 02 - Self-study Question 8

SEAMO · SEAMO 2027 - Paper C - SET 02 - Self-study

Question 8

Evaluate $\dfrac1{1\times2\times3}+\dfrac1{2\times3\times4}+\dfrac1{3\times4\times5}+\cdots+\dfrac1{99\times100\times101}$.
  1. $\frac{5049}{20200}$
  2. $\frac{10099}{20200}$
  3. $\frac12$
  4. $\frac{10099}{10100}$
  5. None of the above