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5 Terms

1
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Arithmetic sequences

an=a1+d(n-1)

2
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geometric sequences

an=a1(r^n-1)

3
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Arithmetic series partial sum

Sn=(n(a1+an))/2

4
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Geometric series partial sum

Sn=(a1(1-r^n))/(1-r)

5
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infinite sum where 1>r>-1

Sinfinite=a1(1/(1-r))