Как да изчислим Sequence
Какво е Sequence?
Sequence analyzer studies arithmetic/geometric progressions and general sequences; finds patterns, nth terms, sums.
Ръководство стъпка по стъпка
- 1Input first few sequence terms or formula
- 2Identify type: arithmetic (constant difference), geometric (constant ratio), or other
- 3Calculate any term and sum
Worked Examples
Вход
2, 4, 8, 16, ...
Резултат
Geometric: r=2, aₙ=2×2ⁿ⁻¹, sum n terms = 2(2ⁿ-1)
Common Mistakes to Avoid
- ✕Confusing arithmetic and geometric
- ✕Forgetting starting index
Frequently Asked Questions
How do you sum infinite geometric series?
S = a/(1-r) if |r|<1; diverges if |r|≥1.
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