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AS 1 Pure Mathematics

Quick questions on Summation of series: standard results and the method of differences - CCEA A-Level Further Maths

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?
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Find ∑r=1n(3r+1)\displaystyle\sum_{r=1}^{n} (3r + 1). [2 marks]
What is q2?
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Evaluate ∑r=110r3\displaystyle\sum_{r=1}^{10} r^3. [2 marks]
What is q3?
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Given 1r−1r+2=2r(r+2)\frac{1}{r} - \frac{1}{r+2} = \frac{2}{r(r+2)}, what type of method does the sum ∑2r(r+2)\sum \frac{2}{r(r+2)} call for? [1 mark]

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