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Sequences (Edexcel IGCSE Maths A)

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  • What is a sequence?

    A sequence is an ordered set of (usually) numbers.

  • In the context of sequences, what is a term?

    A term is one of the numbers in a sequence.

  • In the context of sequences, what is n?

    n is the position of a term in a sequence.

    E.g. when n = 3, it is referring to the third term of the sequence.

  • True or False?

    For the first term, n = 0.

    False.

    For the first term, n = 1.

  • What is subscript notation for sequences?

    Subscript notation is used to talk about a particular term.

    For example

    • a subscript 1 is the 1st term

    • a subscript 7 is the 7th term

    • a subscript n is the nth term

  • What is a position-to-term rule?

    A position-to-term rule gives the nth term of a sequence as a formula in terms of n.

  • How would you find the first three terms of a sequence using a position-to-term rule?

    To find the first three terms of a sequence using a position-to-term rule, substitute n equals 1, n equals 2 and n equals 3 into the position-to-term formula.

  • What is a term-to-term rule?

    A term-to-term rule tells you how to find a term from the term before it.

    I.e., it gives the (n+1)th term in terms of the nth term.

  • What is an arithmetic sequence?

    An arithmetic sequence is a sequence of numbers that increase or decrease by the same amount from one term to the next.

  • Define the common difference of an arithmetic sequence.

    The common difference is the amount that an arithmetic sequence increases or decreases by from one term to the next.

  • What is a the notation for in the context of arithmetic sequences and series?

    a is the notation for the first term in an arithmetic sequence (or series).

  • What is d the notation for in the context of arithmetic sequences and series?

    d is the notation for the common difference of an arithmetic sequence (or series).

  • What is the position-to-term formula for an arithmetic sequence in terms of a, d and n?

    The position-to-term formula for an arithmetic sequence in terms of a, d and n is  a plus open parentheses n minus 1 close parentheses d.

  • What is an arithmetic series?

    An arithmetic series is where the terms of an arithmetic sequence are added together.

  • What is straight S subscript n the notation for in the context of arithmetic sequences and series?

    straight S subscript n is the notation for the sum of the first n terms of an arithmetic series.

  • True or False?

    You need to know where the formula for the sum of an arithmetic series comes from.

    False.

    You do not need to know where the sum of an arithmetic series formula comes from.

    You don't even need to remember the formula, as it is on the formula sheet at the front of the exam paper.

    You just need to know how to use it.

  • True or False?

    You may be asked to find any one of a, d, n or straight S subscript n in a question.

    True.

    You may be asked to find any one of a, d, n or straight S subscript n in a question.

    Always start by writing down which values you know and which one you are trying to find.

Previous:Forming & Solving EquationsNext:Functions

    1. Topic 1

      Number Toolkit

    2. Topic 2

      Set Notation & Venn Diagrams

    3. Topic 3

      Prime Factors, HCF & LCM

    4. Topic 4

      Powers, Roots & Standard Form

    5. Topic 5

      Fractions

    6. Topic 6

      Percentages

    7. Topic 7

      Compound Interest & Depreciation

    8. Topic 8

      Fractions, Decimals & Percentages

    9. Topic 9

      Rounding, Estimation & Bounds

    10. Topic 10

      Surds

    11. Topic 11

      Using a Calculator

    12. Topic 12

      Ratio Toolkit

    13. Topic 13

      Ratio Problem Solving

    14. Topic 14

      Exchange Rates & Best Buys

    15. Topic 15

      Direct & Inverse Proportion

    1. Topic 1

      Algebra Toolkit

    2. Topic 2

      Algebraic Roots & Indices

    3. Topic 3

      Expanding Brackets

    4. Topic 4

      Factorising

    5. Topic 5

      Completing the Square

    6. Topic 6

      Algebraic Fractions

    7. Topic 7

      Rearranging Formulas

    8. Topic 8

      Algebraic Proof

    9. Topic 9

      Solving Linear Equations

    10. Topic 10

      Solving Quadratic Equations

    11. Topic 11

      Solving Inequalities

    12. Topic 12

      Simultaneous Equations

    13. Topic 13

      Forming & Solving Equations

    1. Topic 1

      Sequences

    2. Topic 2

      Functions

    3. Topic 3

      Coordinate Geometry

    4. Topic 4

      Linear Graphs y = mx + c

    5. Topic 5

      Graphs of Functions

    6. Topic 6

      Estimating Gradients

    7. Topic 7

      Real-Life Graphs

    8. Topic 8

      Graphing Inequalities

    9. Topic 9

      Transformations of Graphs

    10. Topic 10

      Differentiation

    1. Topic 1

      Standard & Compound Units

    2. Topic 2

      Angles in Polygons & Parallel Lines

    3. Topic 3

      Bearings, Scale Drawing & Constructions

    4. Topic 4

      Circle Theorems

    5. Topic 5

      Area & Perimeter

    6. Topic 6

      Circles, Arcs & Sectors

    7. Topic 7

      Volume & Surface Area

    8. Topic 8

      Congruence, Similarity & Geometrical Proof

    9. Topic 9

      Area & Volume of Similar Shapes

    10. Topic 10

      Right-Angled Triangles - Pythagoras & Trigonometry

    11. Topic 11

      Sine, Cosine Rule & Area of Triangles

    12. Topic 12

      3D Pythagoras & Trigonometry

    1. Topic 1

      Vectors

    2. Topic 2

      Transformations

    1. Topic 1

      Statistics Toolkit

    2. Topic 2

      Histograms

    3. Topic 3

      Cumulative Frequency Diagrams

    4. Topic 4

      Probability Toolkit

    5. Topic 5

      Probability Diagrams - Venn & Tree Diagrams

    6. Topic 6

      Combined & Conditional Probability