A mechanical engineer models the internal pressure PPP of a cylinder during a specific stroke using the expression P(t)=(12t−3)5P(t) = \left(\frac{1}{2}t - 3\right)^5P(t)=(21t−3)5, where ttt is the time in milliseconds. Determine the constant term in the binomial expansion of P(t)P(t)P(t).
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.
