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HKIMO 2026 Grade 5 National Preliminary Set 01 Question 10

HKIMO · HKIMO 2026 Grade 5 National Preliminary Set 01

Question 10

Find the value of $\frac1{1\times2}+\frac1{2\times3}+\frac1{3\times4}+\cdots+\frac1{99\times100}$.
  1. $\frac1{100}$
  2. $\frac12$
  3. $\frac1{99}$
  4. $\frac{99}{100}$