Unit Award Scheme

127207

Further algebra (unit 4)

Level: Level Two

In successfully completing this unit, the learner will have	Evidence needed
demonstrated the ability to 1. prove at least three statements algebraically, eg (n + 5)² − (n + 3)² is divisible by four for any integer value of n	Summary sheet and/or student completed work
2. use the nth term of at least two sequences, eg work out the difference between the 16th and 6th terms of the sequence with nth term written as a fraction with algebraic numerator and denominator	Summary sheet and/or student completed work
3. write down the limiting value of a sequence (with nth term written as a fraction with algebraic numerator and denominator) as n tends towards infinity	Summary sheet and/or student completed work
4. solve at least two problems using the nth term of linear sequences, eg use the nth term to work out which term has the value -1000 in a sequence which starts 180 176 172…	Summary sheet and/or student completed work
5. solve at least two problems using the nth term of quadratic sequences, eg find the nth term of the sequence 10 16 18 16 ... and which term has the value 0.	Summary sheet and/or student completed work