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Sequences and Series
Quick questions on Mathematical induction explained: H2 Mathematics Sequences and Series
5short 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 weak algebra in the step?Show answer
Aim to reach the formula with exactly; factor early and simplify carefully rather than expanding blindly.
What is not stating ?Show answer
Define the proposition clearly at the start so the base case and step have something precise to verify.
What is q1?Show answer
State the three parts of a proof by mathematical induction. [2 marks]
What is q2?Show answer
In an induction proof of a sum, what do you add to the assumed sum to terms? [1 mark]
What is q3?Show answer
For a divisibility proof that is divisible by , write down the inductive hypothesis. [2 marks]
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