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Quick questions on Sequences and recurrence relations: limits and modelling - SQA 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 q1?
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Write down the first three terms of un+1=3un−2u_{n+1} = 3u_n - 2 with u0=1u_0 = 1. [2 marks]
What is q2?
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Explain why un+1=0.5un+6u_{n+1} = 0.5u_n + 6 has a limit, and find it. [3 marks]
What is q3?
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A recurrence relation un+1=aun+9u_{n+1} = a u_n + 9 has limit 3030. Find aa. [3 marks]

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