GCSE Quadratic Sequences Dr J Frost jfrosttiffin kingston

GCSE : : Quadratic Sequences Dr J Frost (jfrost@tiffin. kingston. sch. uk) Objectives: Determine the nth term formula for sequences with a constant second difference. Last modified: 27 th December 2018

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RECAP: Arithmetic Sequences ?

Quickfire Examples ? ?

STEP 2: Work out second difference. To add +2 +4 +6 +8 +10 STEP 4: Work out what we need to add to get from this to correct term. Work out its formula.

Further Example STEP 2: Work out second difference. To add +1 +3 +5 +7 +9 STEP 4: Work out what we need to add to get from this to correct term. Work out its formula.

Quickfire First Step How do we start the formula? a b c d ? ? ? ? How do we start the formula? e f g h ? ? ? ?

Test Your Understanding ? ? ?

Exercise 1 ? ? 2 ? ? ? 3 4 These are the triangular numbers. 5 ? 7 ? ? 8 ? 6 N ?

Exit GCSE Past Paper Question! So, do you get it? ?

Just For Your Interest… Why do we halve the second difference for the first term of a quadratic sequence? Current Term Position Term Next Term ? ? ?

Just For Your Interest… Position Term Current Term Next Term ? ? ? Term after that ? ? ? ?

Finding a formula using simultaneous equations ? ?

Test Your Understanding and Extension ? ? Oxford Maths Admissions Exam - 2009 ? ? ?