Quadratic Sequences (Grade 11 NSC Matric Mathematics): Flashcards

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Quadratic Sequences
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Definition of quadratic sequence

Sequence where second difference is constant

How to find first differences

Subtract each term from the next term

How to find second differences

Subtract consecutive first differences

How to identify a quadratic sequence

Check if second differences are constant

General form of quadratic sequence

Tn=an2+bn+cT_n = an^2 + bn + c

Relationship: second difference and 'a'

Second difference = 2a2a

Graph shape of quadratic sequence

Parabolic curve

Meaning of TnT_n in quadratic sequences

Value of the nth term

Method to find a, b, c coefficients

Use first three terms, set up simultaneous equations

What 'n' represents in Tn=an2+bn+cT_n = an^2 + bn + c

Position number (1st term, 2nd term, etc.)

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