# Binomial Series

C34 Tutorials - Edexcel International A Level (IAL) Rational Expressions Rational Expressions – Simplifying Partial Fractions Functions Working with Functions Graph Transformations and Asymptotes Trigonometric Graphs and Transformations Modulus Functions, Equations and Inequalities Sequences and Series Binomial Expansion Trigonometry Sec θ, Cosec θ and Cot θ Inverse trigonometric functions Identities & Equations – Pythagorean Type Identities

The sums of the reciprocals of the binomial coefficients over successive diagonals in Pascal’s triangle converge into beautiful patterns, apart from the first and second diagonal (which lead to the series 1 + 1 + 1 + 1 + … and the harmonic series, respectively). A proof of the identity can be found on cut-the-knot.org.