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1 - AlgebraXLatest Additions
8129Sequences and Series : Recurrence relations : Exam Question
8055Algebra and Functions : Simultaneous equations : Unique solutions
8054Algebra and Functions : Simultaneous equations : No solutions
8053Algebra and Functions : Simultaneous equations : Simultaneous equations
8052Algebra and Functions : Simultaneous equations : Simultaneous equations
8038Sequences and series : Arithmetic series : Exam Question
8036Exponentials and logs : Logarithms : Exam Question
8022Sequences and series : Geometric series : Exam Question
8015Exponentials and logs : Exponentials : Exam Question
8004Sequences and series : Geometric series : Exam Question
7962Sequences and series : Binomial Expansion : Exam Question
7959Sequences and series : Geometric series : Exam Question
7952Sequences and series : Arithmetic series : Exam Question
7945Sequences and series : Recurrence relations : Exam Question
7933Sequences and series : Binomial Expansion : Exam Question
Symbols are the basic building blocks of mathematics. After you have studied mathematics at advanced level for a while you will come to appreciate that certain symbols tend to mean certain things. For example x and y are used to represent variables, whereas a and b are used to stand for constants. Greek symbols are commonly used too.
Timed Symbols O-test
Greek Symbols O-test
Functions O-test
Numbers O-test
Learn about arithmetic sequences and series, sum of finite arithmetic series, geometric sequences and series, sum of finite and infinite geometric series, the binomial expansion and sigma notation. Find out how to apply these methods to compound interest and population growth.
Examples
Examples 2
Finding a formula
O-test
Randomised Exam Q 2008
Sigma notation
Understanding it
Using it
Using it some more
True or false O-test
Exam O-test
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2004
Randomised Exam Q 2005
Randomised Exam Q 2007
Randomised Exam Q 2008
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Randomised Exam Q 2010
The nth term 4
Sums 3
The nth term
Memorise the formulae
What they are
The nth term 2
The nth term 3
Consecutive numbers
Gauss's method 1
Gauss's method 2
Sums
Sums 2
Sums 4
Insect population
Loan repayments
Fitness campaign
Prove a series
Prove the formula for Sn
Sequences on a GDC
Sums on a GDC
True or false
Matching O-test
Timed O-test
O-test 1
O-test 2
Exam O-test 2
Exam O-test 1
Exam O-test 3
Exam O-test 4
Exam O-test 5
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2004
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Convergence
Divergence
Forming recurrence relations 3
Forming recurrence relations 2
Forming recurrence relations
Forming recurrence relations 4
un+1 = f(un)
Example
Example 2
Example 3
Bird feeder
The Isle of Blight
The Reservoir
Quiz
Using a GDC
Graphing on a GDC
Timed O-test
O-test
Exam O-test 1
Exam O-test 2
Exam O-test 3
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2006
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Randomised Exam Q 2015
What they look like
Investigate
nth term
nth term 2
Sum of n terms
Find n
Spreadsheet investigation
Consecutive terms
Depreciation
Interest
Salary increase
Infinite geometric series
Infinite geometric series 2
Infinite geometric series 3
Infinite geometric series 4
Infinite geometric series 5
Recurring decimals 2
Recurring decimals
Recurring decimals 3
Recurring decimals 4
Prove the formula for Sn
Memorise the formulae
Sequences on a GDC
Sums on a GDC
Matching quiz
Exam O-test 5
O-test 2
Timed O-test
O-test 1
True or false O-test
O-test 3
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2004
Randomised Exam Q 2005
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Using (a+b)n
Permutations
Factorials 2
Factorials 3
Factorials 4
nCr
nCr 2
nCr 3
nCr 4
nCr 5
nCr 6
nCr 7
(1+x)n
(a+b)n
(a+b)n 2
(a+b)n 3
(a+b)n 4
(a+b)n 5
(a+b)n 7
Timed O-test
O-test 2
O-test 1
True or false O-test
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
Exam O-test 5
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2001
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2003
Randomised Exam Q 2003
Randomised Exam Q 2004
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Division
Imaginary numbers
Sum
Subtraction
Product
Complex conjugate
Calculations
More calculations
Simplifying expressions
Modulus properties
Properties of conjugates
Properties 2
Properties 3
Properties 4
Properties 5
Modulus and conjugate
Calculations on a GDC
O-test
Matching O-test
Sequence O-test
Exam O-test 1
Exam O-test 2
Exam O-test
Exam timed O-test
Randomised Exam Q 2003
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2008
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Randomised Exam Q 2009
Summary
Definitions
Modulus and argument
Modulus and argument 2
Modulus and argument 3
Addition
Subtraction
Product
Quotient
O-test 1
O-test 2
O-test 3
Randomised Exam Q 2002
Randomised Exam Q 2002
Randomised Exam Q 2005
Randomised Exam Q 2006
Randomised Exam Q 2007
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Roots
Polar form
Polar form 2
Polar form 3
Properties of polar form
De Moivre's theorem
Trig identities
Trig identities 2
Trig identities 3
Powers
Roots 2
nth roots 2
nth roots
nth roots of unity
O-test
Randomised Exam Q 2008
Definition
A proof
More proofs
The Mandelbrot set videos
The Mandelbrot set
The Mandelbrot process
Zoom in on The Mandelbrot set
Exponential functions
Exponential equations
Timed O-test
Plotting O-test
O-test
Randomised Exam Q 2007
Randomised Exam Q 2010
Randomised Exam Q 2011
Log bases
Log bases 2
Log bases 3
The laws of logs 2
The laws of logs
The laws of logs 3
Memorise the laws of logs
Change of base
Simplifying
Simplifying 2
Simplifying 3
Simplifying 4
Convert to Y=aX+b
Convert from Y=aX+b
Quiz
Timed O-test
Plotting O-test 1
Plotting O-test 2
True or false O-test 1
Sequence O-test 1
Sequence O-test 2
Plotting O-test 3
True or false O-test 2
Matching O-test
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam timed O-test
Randomised Exam Q 2004
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2007
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Review the rules
Equations
Equations 2
Equations 3
Equations 4
Simultaneous equations
O-test 2
Linear graphs
Solve by elimination 1
Solve by elimination 2
Solve by elimination 3
Solve by elimination 4
Solve by substitution 1
Solve by substitution 2
Simultaneous equations
Simultaneous equations
No solutions
Unique solutions
Linear equations on a GDC
Linear equations on a GDC 2
O-test 1
O-test 2
Symbols in Proofs
Introduction
Introduction continued
Sum of series
Sum of series 2
Sum of squares
De Moivre's theorem
Sequences
Sequences 2
Divisibility
Factorials
Divisibility 2
Matrices
Matrices 2
O-test
Randomised Exam Q 2005
Randomised Exam Q 2006
Randomised Exam Q 2008
Randomised Exam Q 2008
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Mindmap
Formulae