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3.3.7 Sequences and series (A-level only)

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Question 8

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

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

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

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

[3]

Given that the coefficient of $x^2\,$ is exactly three-eighths of the coefficient of $x$ , determine the value of $k$ .

[2]

Markscheme

3.3.7 Sequences and series (A-level only) Questions

A Level
Maths
3.3.7 Sequences and series (A-level only)

36 exam-style questions on CCEA A Level Maths 3.3.7 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.3.7 Sequences and series (A-level only)

Question bank

3.3.7 Sequences and series (A-level only)

Easy Medium Hard

1 2 3 4 5 6 7 8

Question 8

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

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

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

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

[3]

Given that the coefficient of $x^2\,$ is exactly three-eighths of the coefficient of $x$ , determine the value of $k$ .

[2]

Markscheme

3.3.7 Sequences and series (A-level only) Questions

A Level
Maths
3.3.7 Sequences and series (A-level only)

36 exam-style questions on CCEA A Level Maths 3.3.7 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.