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Quick questions on Sequences and series: arithmetic, geometric and binomial expansion - Edexcel A-Level Maths

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 binomial expansion for any rational power?
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For non-integer or negative powers the expansion is an infinite series, valid for ∣x∣<1|x| < 1.
What is off-by-one in the nnth term?
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Use a+(n−1)da + (n-1)d, not a+nda + nd.
What is q1?
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An arithmetic sequence has first term 33 and common difference 44. Find the 10th term. [2 marks]
What is q2?
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Find the sum to infinity of a geometric series with a=20a = 20 and r=0.1r = 0.1. [2 marks]

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