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3.3 Summary (EMBG6)

  • \(T_n\) is the general term of a sequence.

  • Successive or consecutive terms are terms that follow one after another in a sequence.

  • A linear sequence has a common difference (\(d\)) between any two successive terms.

    \[d = T_n - T_{n-1}\]

  • A quadratic sequence has a common second difference between any two successive terms.

  • The general term for a quadratic sequence is \[T_n = an^2 + bn + c\]

  • A general quadratic sequence: