ASMaths: Pure 1CIERevision Notes4. Sequences & Series4.2 Arithmetic Progressions4.2.1 Arithmetic Sequences

Arithmetic Sequences (CIE AS Maths: Pure 1)

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Arithmetic Sequences

What do I need to know about arithmetic progressions?

  • In an arithmetic progression (also called arithmetic sequence), the difference between consecutive terms in the sequence is constant

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

  • That constant difference is known as the common difference of the sequence
  • You need to know the nth term formula for an arithmetic progression
begin mathsize 22px style u subscript n equals a plus left parenthesis n minus 1 right parenthesis d end style
    • a is the first term
    • d is the common difference

Examiner Tip

  • The formula is given in the formula booklet
  • If you know two terms in an arithmetic sequence you can find a and d using simultaneous equations. 

Arithm Seq Simult, A Level & AS Level Pure Maths Revision Notes

Worked example

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

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    Roger

    Author: Roger

    Expertise: Maths

    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.