Series (Edexcel A Level Further Maths: Core Pure): Exam Questions

Exam code: 9FM0

10 mins2 questions

5 marks

Prove that, for $n \in ℤ, n \geq 0$

$\sum_{r = 0}^{n} \frac{1}{(r + 1) (r + 2) (r + 3)} = \frac{(n + a) (n + b)}{c (n + 2) (n + 3)}$

where $a, b$ and $c$ are integers to be found.

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