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如何计算Sequence

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Sequence analyzer studies arithmetic/geometric progressions and general sequences; finds patterns, nth terms, sums.

分步指南

  1. 1Input first few sequence terms or formula
  2. 2Identify type: arithmetic (constant difference), geometric (constant ratio), or other
  3. 3Calculate any term and sum

例题解析

输入
2, 4, 8, 16, ...
结果
Geometric: r=2, aₙ=2×2ⁿ⁻¹, sum n terms = 2(2ⁿ-1)

常见错误注意事项

  • Confusing arithmetic and geometric
  • Forgetting starting index

常见问题

How do you sum infinite geometric series?

S = a/(1-r) if |r|<1; diverges if |r|≥1.

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