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

10 mins2 questions

5 marks

Prove that

$\sum_{r = 1}^{n} \frac{1}{(r + 1) (r + 3)} = \frac{n (a n + b)}{12 (n + 2) (n + 3)}$

where $a$ and $b$ are constants to be found.

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