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3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

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Question 18

A quantitative analyst models the projected value of a portfolio using the function

V(x)=(4+kx)7V(x) = (4 + kx)^7V(x)=(4+kx)7

where x x\,x represents market volatility and k k\,k is a positive constant.

a.

Find the first three terms, in ascending powers of xxx, in the expansion of (4+kx)7(4 + kx)^7(4+kx)7, giving each term in its simplest form.

[3]
b.

Given that the coefficient of x2 x^2\,x2 is exactly three-eighths of the coefficient of xxx, determine the value of kkk.

[2]
Markscheme

3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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