Rules of Sequences

Rules of Sequences

TGM Original Questions

For each of the following sequences, state a rule and write down the next two terms of the sequence.

  1. \(-12, -8, -4, 0, 4, \dots\)
  2. \(\frac{1}{81}, -\frac{1}{9}, 1, -9, 81, \dots\)
  3. \(-70, -140, -210, -280, -350, \dots\)
  4. $3, 9, 27, 81, 243, \dots$

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Answer:(i) Add \(4\): \(8,12\) (ii) Multiply by \(-9\): \(-729,6561\) (iii) Subtract \(70\): \(-420,-490\) (iv) Multiply by \(3\): \(729,2187\)

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