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Sequences and Series

Quick questions on Geometric progressions explained: H2 Mathematics Sequences and Series

4short 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 index error in the term formula?
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The nnth term is arn−1ar^{n-1} (the power is n−1n - 1, not nn).
What is q1?
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Find the 88th term of the GP 3,6,12,…3, 6, 12, \ldots [2 marks]
What is q2?
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A GP has a=5a = 5 and r=−12r = -\dfrac{1}{2}. Find the sum to infinity. [2 marks]
What is q3?
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Explain why the series 1+2+4+8+⋯1 + 2 + 4 + 8 + \cdots has no sum to infinity. [2 marks]

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