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5th Quadratic Sequences Worksheet - Mathshelper

Quadratic SequencesLast lesson we learnt how to find an expression for thenth term of a arithmetic (linear) sequence ; one that goes up or down by a constant amount. We foundT= (diff between terms)n+ (zeroth term).So for example the sequence 3, 1, 5, 9..gives the formulaT= 4n+7. We spot arithmeticsequences by looking at the first difference and spotting the , if the seconddifference is constant then you are dealing with aquadratic work out the formula;1. Halve the second difference to get the number ofn2s ( if you had a second differenceof +6 you would have +3n2).2. Write out the original sequence above the terms of your number Subtract then2s from the sequence to give The residue will either be constant or a linear sequence .

Quadratic Sequences Last lesson we learnt how to find an expression for the nth term of a arithmetic (linear) sequence; i.e. one that goes up or down by a constant amount.

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