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infinite series
∑aₙ=a₁+a₂+a₃+a₄+…
partial sum
Sk=(n=1 →K)∑aₙ
Geometric series
∑arⁿ
geometric series diverges when
|r|≥1 and ∑arⁿ = a/1-r |r|<1
geometric series with |r|<1 converges to
(first term of series) / 1-r