UNIT 1.1. Sequences and Series

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Formulae (SL & HL)

12 Terms

1

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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2

Arithmetic Sum

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3

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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4

Geometric Sum

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5

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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6

Divergent Series

Keeps increasing till infinity e.g. arithmetic sequences.

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7

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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8

Permutations

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9

Binomial Expansion

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10

Binomial Expansion for Fractional Powers

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11

Binomial Expansion for Negative Powers

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12

Proof by Mathematical Induction

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