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Sequences and series (P2)

2.4

What the syllabus asks of you

  • Sequences, including those given by a formula for the nth term and those generated by a simple relation of the form xn + 1 = f(xn).
  • Understand and work with arithmetic sequences and series, including the formula for the nth term and the sum of a finite arithmetic series; the sum of the first n natural numbers.
  • Increasing sequences, decreasing sequences and periodic sequences.
  • Understand and work with geometric sequences and series, including the formulae for the nth term and the sum of a finite geometric series; the sum to infinity of a convergent geometric series, including the use of |r| < 1.
  • Binomial expansion of (a + bx)n for positive integer n.

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Chapter 6: Series

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Drill this topic

All 30 questions on Sequences and series (P2), untimed — answer on paper, then mark yourself against the mark scheme.

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Choose the years and how many questions, then print it with the answers on separate pages.

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30 questions

These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.