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Applications of Algebra and Calculus

Quick questions on Summation and proof by induction: sigma formulae and the induction method - SQA Advanced Higher 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 no concluding statement?
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Always finish with the sentence that, by induction, the result holds for all positive integers nn.
What is q1?
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Evaluate r=1nr3\displaystyle\sum_{r=1}^{n} r^3 in factorised form. [1 mark]
What is q2?
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State the four parts of a proof by induction. [2 marks]

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