UNIT 1.1. Sequences and Series

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Formulae (SL & HL)

IB Mathematics: Analysis and Approaches (HL)

Number and algebra

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12 Terms

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Arithmetic Sequence

Increases or decreases by the addition of a numerical factor.

<p>Increases or decreases by the addition of a numerical factor.</p>
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Arithmetic Sum

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Geometric Sequence

Increases or decreases by the multiplication of a numerical factor.

<p>Increases or decreases by the multiplication of a numerical factor.</p>
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Geometric Sum

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Convergent Series

Keeps decreasing until it converges at one value e.g. geometric sequences.

<p>Keeps decreasing until it converges at one value e.g. geometric sequences.</p>
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Divergent Series

Keeps increasing till infinity e.g. arithmetic sequences.

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Combinatorics

The number of way you choose r objects from n choices.

<p>The number of way you choose <strong><em>r</em></strong> objects from <strong><em>n</em></strong> choices.</p>
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Permutations

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Binomial Expansion

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Binomial Expansion for Fractional Powers

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Binomial Expansion for Negative Powers

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Proof by Mathematical Induction

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