A-Level Maths - Core/Pure 1
- A-Level Maths PURE/CORE 1
- 1.1 Rational Indices Law
- 1.2 Surds
- 1.3 Four rules with Polynomials
- 1.4 Factorising Polynomials
- 1.5 Identities
- 1.6 Algebraic Division
- 1.7 Factor Theorem
- 1.8 Complete Square Quad. Functs. & graphs
- 1.9 Square form of quadratic equation
- 1.10 Solve quad. equ FACTORISE, SQUARE or FORMULA
- 1.11 Solving 2 simult. equ. Linear and quad
- 1.12 Inequals. Linear and quad solving
- 2.1 Radian measures
- 2.2 Radian Arc Lengths
- 2.3 Radian Area of Sector
- 2.4 Trig in 4 quadrants
- 2.5 Drawing graphs of Sinx Cosx Tanx
- 2.6 Trig Identities SIN^2 COS^2=1 solving trig equ
- 2.7 Gradients, straight & parallel lines
- 3.1 nth term sequences
- 3.2 Arithmetic Sequences and Series
- 3.3 Geometric Series
- 4.1 Differentiation
- 4.2 Differentiation - 2nd derivative MIN MAX pts
- 5.1 Integration
- 5.2 Indefinite Integrals
- 5.3 Boundary conditions and Definite Integrals
- 5.4 Integration - Areas under a curve
- 6 Proof by Direct Method
A geometric series sum_(k)a_k is a series for which the ratio of each two consecutive terms a_(k+1)/a_k is a constant function of the summation index k. The more general case of the ratio a rational function of the summation index k produces a series called a hypergeometric series. For the simplest case of the ratio a_(k+1)/a_k=r equal to a constant r, the terms a_k are of the form a_k=a_0r^k. Letting a_0=1, the geometric sequence {a_k}_(k=0)^n with constant |r|<1 is given by ...
Sequence and Series from AQA Core 2
