Infinite Series

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Last updated 6:03 PM on 6/27/24
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5 Terms

1
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infinite series

∑aₙ=a₁+a₂+a₃+a₄+…

2
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partial sum

Sk=(n=1 →K)∑aₙ

3
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Geometric series

∑arⁿ

4
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geometric series diverges when

|r|≥1 and ∑arⁿ = a/1-r |r|<1

5
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geometric series with |r|<1 converges to

(first term of series) / 1-r