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A2 Unit 3 Pure Mathematics B

Quick questions on Sequences and series: arithmetic, geometric and the binomial for any index - WJEC A-Level Maths

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 the binomial series for any index?
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For any rational nn, the expansion is an infinite series valid for ∣x∣<1|x| < 1:
What is q1?
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An arithmetic series has first term 55 and common difference 33. Find the sum of the first 10 terms. [3 marks]
What is q2?
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A geometric series has a=100a = 100 and r=0.2r = 0.2. Find the sum to infinity. [2 marks]
What is q3?
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Find the term in x2x^2 in the expansion of (1−x)−1(1 - x)^{-1}. [2 marks]
What is q4?
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State the validity range for the expansion of (1+3x)−1(1 + 3x)^{-1}. [1 mark]

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