A theoretical model for the refractive index μ\muμ of a specialized optical glass depends on the incident light wavelength λ\lambdaλ according to the relation
μ(λ)=(1625+25λ)−32 \mu(\lambda) = \left( \frac{16}{25} + \frac{2}{5}\lambda \right)^{-\frac{3}{2}} μ(λ)=(2516+52λ)−23Determine the range of values of λ\lambdaλ for which the binomial expansion of μ(λ)\mu(\lambda)μ(λ) in ascending powers of λ\lambdaλ is valid.
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.
