Part of ALG-03 — Sequences & Series (AP, GP, Special Series)

Previous Year Analysis

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Most tested (2020-2024):

  1. Sum of series with general term (decomposition into standard sums)
  2. AP/GP with conditions (find terms, common difference/ratio)
  3. Infinite GP sum
  4. Telescoping series
  5. AM-GM optimization

Difficulty distribution:

  • 40% medium (direct formula application)
  • 40% hard (multi-step, AGP, conditions)
  • 20% easy basicAPGPcomputation\frac{basic AP}{GP computation}

Time targets:

  • Basic AP/GP: 1-2 minutes
  • Series decomposition: 2-3 minutes
  • AGP/complex telescoping: 3-4 minutes
  • AM-GM optimization: 2-3 minutes

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