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CAIE A-Level Further Math AS 1.3.3 Series Convergence Questions

Practise determining convergence and evaluating infinite series using telescoping methods.

Syllabus
2028–2030
Course
Further Mathematics 9231
Level
AS

Exam points

  • determine convergence of infinite series
  • evaluate sums to infinity
  • apply convergence tests and telescoping techniques

CAIE A-Level Further Math AS 1.3.3 Series Convergence Questions question 1

[Maximum number: 1]

Deduce the value of ∑r=1∞3r2+3r+1r3(r+1)3\sum_{r=1}^{\infty} \frac{3 r^{2}+3 r+1}{r^{3}(r+1)^{3}}.

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