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1.4.1 Binomial expansion for positive integer n

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Question 12

A quantitative analyst models the projected value of a high-risk portfolio using the function $V(x) = (4 + kx)^7$ , where $x$ represents market volatility and $k$ is a positive sensitivity 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

1.4.1 Binomial expansion for positive integer n Questions

A Level
Maths
1.4.1 Binomial expansion for positive integer n

108 exam-style questions on OCR A Level Maths 1.4.1 Binomial expansion for positive integer n. Each one has a worked solution and a mark scheme showing where the marks go.

1.4.1 Binomial expansion for positive integer n

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1.4.1 Binomial expansion for positive integer n

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Question 12

A quantitative analyst models the projected value of a high-risk portfolio using the function $V(x) = (4 + kx)^7$ , where $x$ represents market volatility and $k$ is a positive sensitivity 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

1.4.1 Binomial expansion for positive integer n Questions

A Level
Maths
1.4.1 Binomial expansion for positive integer n

108 exam-style questions on OCR A Level Maths 1.4.1 Binomial expansion for positive integer n. Each one has a worked solution and a mark scheme showing where the marks go.