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SEAMO 2027 - Paper E - SET 08 - Self-study Question 3

SEAMO · SEAMO 2027 - Paper E - SET 08 - Self-study

Question 3

Find $\displaystyle\frac1{1+2}+\frac1{1+2+3}+\cdots+\frac1{1+2+\cdots+100}$.
  1. $\frac{99}{100}$
  2. $\frac{99}{101}$
  3. $\frac{100}{101}$
  4. $\frac{100}{102}$
  5. None of the above