UNIT 1.1. Sequences and Series

Formulae (SL & HL)

Arithmetic Sequence

Increases or decreases by the addition of a numerical factor.

Arithmetic Sum

Geometric Sequence

Increases or decreases by the multiplication of a numerical factor.

Geometric Sum

Convergent Series

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

Divergent Series

Keeps increasing till infinity e.g. arithmetic sequences.

Combinatorics

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

Permutations

Binomial Expansion

Binomial Expansion for Fractional Powers

Binomial Expansion for Negative Powers

Proof by Mathematical Induction