Skip to content

Course home

Sign up

1.7.1 Binomial expansion

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435
Question 19

A quantitative analyst models the projected value of a high-risk portfolio using the function V(x)=(4+kx)7V(x) = (4 + kx)^7V(x)=(4+kx)7, where xxx represents market volatility and kkk is a positive sensitivity 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 x2x^2x2 is exactly three-eighths of the coefficient of xxx, determine the value of kkk.

[2]
Markscheme

1.7.1 Binomial expansion Questions

  1. A Level
  2. /Maths
  3. /1.7.1 Binomial expansion

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank