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SEAMO 2027 - Paper E - SET 04 - Self-study Question 14

SEAMO · SEAMO 2027 - Paper E - SET 04 - Self-study

Question 14

Evaluate $\dfrac3{1!+2!+3!}+\dfrac4{2!+3!+4!}+\cdots+\dfrac{22}{20!+21!+22!}$.
  1. $\frac1{2!}-\frac1{22!}$
  2. $\frac1{3!}-\frac1{22!}$
  3. $\frac1{2!}-\frac1{21!}$
  4. $\frac1{3!}-\frac1{21!}$
  5. $\frac1{4!}-\frac1{22!}$