An industrial coolant system models the rate of heat dissipation, RRR (in kW), using the function R(w)=(12w−3)6\displaystyle R(w) = \left( \frac{1}{2}w - 3 \right)^6R(w)=(21w−3)6, where w w\,w is the flow rate of the liquid.
Determine the constant term in the binomial expansion of R(w)R(w)R(w).
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.
