This Year 13 binomial expansion for rational n and series modelling quiz has 10 short questions for pupils aged 17-18. Type your answer, check it straight away and read the explanation when you get one wrong.
Year 13 binomial expansion for rational n and series modelling quiz: the 10 questions
- Write the x^2 term of (1+x)^(-1).Coefficient 1.
- What is the range of validity of (1+2x)^(-1)?|2x|<1.
- What is the coefficient of x in (1+x)^(1/3)?n.
- What is the coefficient of x^2 in (1+x)^(1/2)?n(n-1)/2.
- Does the expansion of (1+x)^(-3) ever terminate?Negative power.
- Factorise (4+x)^(1/2) to the form k(1+u)^(1/2). What is k?4^(1/2).
- What is the validity range of (4+x)^(1/2)?|x/4|<1.
- What is the coefficient of x in (1-x)^(-1)?Because -(-1)=1.
- First three terms of (1-x)^(-1)?Geometric.
- What is 4^(-1/2)?1/sqrt4.
How to use this Year 13 binomial expansion for rational n and series modelling quiz
First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the binomial expansion for rational n and series modelling lesson and try again later. After that, try the multiple choice questions or the binomial expansion for rational n and series modelling worksheet.
Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.


















