Find the first three terms, in ascending powers of xxx, of the binomial expansion of
(2+kx)6 (2 + kx)^6 (2+kx)6where kkk is a constant. Give each term in simplest form.
The population PPP of a bacterial culture is modeled for small time intervals xxx by the expression
(5−2.5x)(2+kx)6 (5 - 2.5x)(2 + kx)^6 (5−2.5x)(2+kx)6where kkk is a growth constant. Given that the coefficient of x2x^2x2 in the expansion of this expression is 606060, find the possible values of kkk.
Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
