Summation Rules

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6 Terms

1
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Constant

Σ(n, i=1) c = c*n

2
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Constant

Σ(n, i=1) c*ai = c Σ(n, i=1) ai

3
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Sum

Σ(n, i=1) ai + bi = Σ(n, i=1) ai + Σ(n, i=1) bi

4
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Power^1

Σ(n, i=1) i = n(n+1)/2

5
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Power²

Σ(n, i=1) i² = n(n+1)(2n+1)/6

6
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Power³

Σ(n, i=1) i³ = n²(n+1)²/4