Binomial expansion for positive integer nAQA A-Level Maths: Mind map

Exam questions on Binomial expansion for positive integer n

1. Consider the expansion of $(2+x)^6$ in ascending powers of $x$.
   Hence find the coefficient of $x^2$ in the expansion of $(1+x)(2+x)^6$.2 marks
2. In the expansion of $(1+3x)^n$, where $n$ is a positive integer, the term in $x$ is $24x$.
   Use the first three terms of the expansion to estimate the value of $1.03^8$.2 marks
3. Consider the expansion of $(3-2x)^7$ in ascending powers of $x$.
   Find the first three terms in the expansion, in ascending powers of $x$.3 marks