Stating the rule of a sequence

Stating the rule of a sequence

Secondary 1

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

  1. \( 7500,-1500,300,-60,12, ... \)
  2. \( 8,11,14,17,20, ... \)
  3. \( -2,-7,-12,-17,-22, ... \)
  4. \( -50,-45,-40,-35,-30, ... \)

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Answer:(a) Divide each term by \(-5\). Next terms: \(-\dfrac{12}{5},\dfrac{12}{25}\). (b) Add \(3\) to each term. Next terms: \(23,26\). (c) Subtract \(5\) from each term. Next terms: \(-27,-32\). (d) Add \(5\) to each term. Next terms: \(-25,-20\).

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