The concentration C C\,C of a specific reagent in a chemical solution depends on the temperature fluctuation τ\tauτ (in degrees Celsius). For small fluctuations near a reference point, the relationship is modeled by the function:
C(τ)=(5−25τ)7 C(\tau) = \left(5 - \frac{2}{5}\tau\right)^7 C(τ)=(5−52τ)7Find the first four terms, in ascending powers of τ\tauτ, of the binomial expansion of C(τ)C(\tau)C(τ). Give each coefficient as an integer.
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.
