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CAIE A Level Mathematics 9709

Series questions

Exam-style questions on Series, ordered from foundation to challenge. Pick one, write your answer the way you would in the exam, and it comes back marked against the mark scheme, point by point.

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Written by Markquill to follow the Cambridge International syllabus. Markquill is independent and is not affiliated with or endorsed by Cambridge International.

  1. 2 marksFoundationIn a geometric progression, the first term is 2 and the common ratio is 2. Find the 5th term.
  2. 2 marksFoundationAn arithmetic progression has first term 7 and common difference 4. Find the 5th term.
  3. 2 marksFoundationA geometric progression has first term 2 and common ratio 3. Find the 4th term.
  4. 2 marksFoundationThe first term of an arithmetic progression is 1 and the common difference is -5. Find the 13th term.
  5. 3 marksStandardAn arithmetic progression has first term 3 and common difference 4. Find the sum of the first 8 terms.
  6. 3 marksStandardFind the coefficient of x^2 in the expansion of (3 + 2x)^3.
  7. 3 marksStandardA geometric progression has first term 6 and common ratio 0.4. Find the sum to infinity of this progression.
  8. 3 marksStandardThe first term of a geometric progression is 7 and the common ratio is 0.75. The progression converges. Find the sum to infinity of the progression.
  9. 4 marksChallengeFind the coefficient of x^3 in the expansion of (1 + x)(1 + 2x)^5.
  10. 4 marksChallengeConsider the expansion of (2 + 3x)(2 + x)^2.