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SEAMO 2027 - Paper F - SET 04 - Self-study Question 1

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

Question 1

SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.

Evaluate
$$\frac{2021^2\times2022-2023}{2022!}+\frac{2023^2\times2024-2025}{2024!}.$$
  1. $\frac1{2019!}+\frac1{2020!}+\frac1{2021!}+\frac1{2022!}$
  2. $\frac1{2019!}+\frac1{2020!}-\frac1{2021!}-\frac1{2022!}$
  3. $\frac1{2019!}+\frac1{2020!}-\frac1{2022!}-\frac1{2023!}$
  4. $\frac1{2019!}+\frac1{2020!}+\frac1{2023!}+\frac1{2024!}$
  5. $\frac1{2019!}+\frac1{2020!}-\frac1{2023!}-\frac1{2024!}$