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Further Pure Mathematics

1. Further Pure Mathematics Notes
1.1 Logarithmic Functions and Indices>1.2 The Quadratic Function>1.3 Identities and Inequalities>1.4 Graphs>1.5 Series>1.6 The Binomial Series>1.7 Scalar and Vector Quantities>1.8 Rectangular Cartesian Coordinates>1.9 Calculus>1.10 Trigonometry>

1.6 The Binomial Series

1.6.1 Use of the binomial series (1 + x)n

Type 1: Binomial Expansion (n is a positive integer)

Type 2: Binomial Expansion (n is a negative integer)

When n is a negative integer, none of the (n – r) terms in the coefficient will be equal to zero, so the series will be infinite.

Type 3: Binomial Expansion (n is a positive fractions)

Type 3: Binomial Expansion (n is a negative fraction)