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Edexcel International AS Maths: Pure 2

Revision Notes

Home / International AS / Maths: Pure 2 / Edexcel / Revision Notes / 4. Sequences & Series / 4.3 Geometric Sequences & Series / 4.3.1 Geometric Sequences


4.3.1 Geometric Sequences


Geometric Sequences

What do I need to know about geometric sequences?

  • In a geometric sequence, there is a common ratio between consecutive terms in the sequence

Geom Seq Illustr, A Level & AS Level Pure Maths Revision Notes

  • You need to know the nth term formula for a geometric sequence
u subscript n equals a   r to the power of n minus 1 end exponent
    • a is the first term
    • r is the common ratio

Exam Tip

If you know two terms in a geometric sequence you can find a and d using simultaneous equations. Geom Seq Simult, A Level & AS Level Pure Maths Revision Notes

Worked Example

Geom Seq Example, A Level & AS Level Pure Maths Revision Notes



  • 1. Proof
    • 1.1 Proof
      • 1.1.1 Language of Proof
        • 1.1.2 Proof by Deduction
          • 1.1.3 Proof by Exhaustion
            • 1.1.4 Disproof by Counter Example
          • 2. Algebra & Functions
            • 2.1 Polynomials
              • 2.1.1 Polynomial Division
                • 2.1.2 Factor & Remainder Theorem
                  • 2.1.3 Factorisation
                • 3. Coordinate Geometry
                  • 3.1 Circles
                    • 3.1.1 Equation of a Circle
                      • 3.1.2 Finding the Centre & Radius
                        • 3.1.3 Bisection of Chords
                          • 3.1.4 Angle in a Semicircle
                            • 3.1.5 Radius & Tangent
                          • 4. Sequences & Series
                            • 4.1 Binomial Expansion
                              • 4.1.1 Binomial Expansion
                              • 4.2 Arithmetic Sequences & Series
                                • 4.2.1 Arithmetic Sequences
                                  • 4.2.2 Arithmetic Series
                                  • 4.3 Geometric Sequences & Series
                                    • 4.3.1 Geometric Sequences
                                      • 4.3.2 Geometric Series
                                      • 4.4 Sequences & Series
                                        • 4.4.1 Language of Sequences & Series
                                          • 4.4.2 Sigma Notation
                                            • 4.4.3 Recurrence Relations
                                            • 4.5 Modelling with Sequences & Series
                                              • 4.5.1 Modelling with Sequences & Series
                                            • 5. Logs & Exponentials
                                              • 5.1 Laws of Logarithms
                                                • 5.1.1 Exponential Functions
                                                  • 5.1.2 Logarithmic Functions
                                                    • 5.1.3 Laws & Change of Base
                                                      • 5.1.4 Exponential Equations
                                                    • 6. Trigonometry
                                                      • 6.1 Trigonometric Equations
                                                        • 6.1.1 Trigonometry - Simple Identities
                                                          • 6.1.2 Linear Trigonometric Equations
                                                            • 6.1.3 Quadratic Trigonometric Equations
                                                              • 6.1.4 Strategy for Trigonometric Equations
                                                            • 7. Differentiation
                                                              • 7.1 Applications of Differentiation
                                                                • 7.1.1 Increasing & Decreasing Functions
                                                                  • 7.1.2 Stationary Points & Turning Points
                                                                    • 7.1.3 Sketching Gradient Functions
                                                                      • 7.1.4 Modelling with Differentiation inc. Optimisation
                                                                    • 8. Integration
                                                                      • 8.1 Integration
                                                                        • 8.1.1 Definite Integration
                                                                          • 8.1.2 Area Under a Curve
                                                                            • 8.1.3 Area between a curve and a line
                                                                              • 8.1.4 Area between 2 curves
                                                                                • 8.1.5 Trapezium Rule (Numerical Integration)


                                                                                DOWNLOAD PDF

                                                                              Author: Roger

                                                                              Roger's teaching experience stretches all the way back to 1992, and in that time he has taught students at all levels between Year 7 and university undergraduate. Having conducted and published postgraduate research into the mathematical theory behind quantum computing, he is more than confident in dealing with mathematics at any level the exam boards might throw at you.


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