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Northern IrelandMathsQuick questions

AS 1 Pure Mathematics

Quick questions on Sequences and series: the binomial expansion for positive integer n - CCEA A-Level Mathematics

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 off-by-one in rr?
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The first term has r=0r = 0, so the term in x3x^3 corresponds to r=3r = 3, but the fourth term in the list. Decide whether the question wants the term in a given power or the term in a given position.
What is q1?
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Write down the coefficients in the expansion of (a+b)4(a + b)^4. [1 mark]
What is q2?
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Find the coefficient of x2x^2 in (3+x)4(3 + x)^4. [3 marks]
What is q3?
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A sequence is defined by un+1=2un−1u_{n+1} = 2u_n - 1, u1=3u_1 = 3. Find u3u_3. [2 marks]

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