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Sequence analyzer studies arithmetic/geometric progressions and general sequences; finds patterns, nth terms, sums.
Trin-for-trin guide
- 1Input first few sequence terms or formula
- 2Identify type: arithmetic (constant difference), geometric (constant ratio), or other
- 3Calculate any term and sum
Løste eksempler
Input
2, 4, 8, 16, ...
Resultat
Geometric: r=2, aₙ=2×2ⁿ⁻¹, sum n terms = 2(2ⁿ-1)
Almindelige fejl at undgå
- ✕Confusing arithmetic and geometric
- ✕Forgetting starting index
Ofte stillede spørgsmål
How do you sum infinite geometric series?
S = a/(1-r) if |r|<1; diverges if |r|≥1.
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