sequences & series formulae

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Last updated 4:25 PM on 9/11/24
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9 Terms

1
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overall Un equation

Un = Sn - Sn-1

2
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common difference of AP

Un - Un-1 = d

3
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Un of AP

Un = a + (n-1)d

4
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Sn of AP

Sn = (n/2)[2a + (n-1)d] OR Sn = (n/2)(a + l)

5
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Common ratio of GP

Un/Un-1 = r

6
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Un of GP

Un = ar^(n-1)

7
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Sn of GP

Sn = a(1-r^n)/(1-r) OR Sn = a(r^n-1)/r-1

8
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condition for sum to infinity for GP

|r| < 1

9
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Sum to infinity for GP

Sum to infinity = a/(1-r)