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Spotting the rule

Exercise and reference answers

Questions
  1. Question
    2, 6, 18, 54 — each term is the previous one
    Choices
    1. times 3
    2. plus 4
    3. squared
    Correct choice
    times 3
  2. Question
    That makes it a
    Choices
    1. arithmetic progression
    2. geometric progression
    3. random list
    Correct choice
    geometric progression
  3. Question
    Its common ratio is
    Choices
    1. 4
    2. 2
    3. 3
    Correct choice
    3
  4. Question
    The next term after 54 is
    Choices
    1. 162
    2. 108
    3. 58
    Correct choice
    162

Explanation

Number-series items are solved by naming the rule linking neighbours. Source: syllabus Maths, Ch 9 Sequences and Series.
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