A deep-sea mining drone operates for 400 consecutive shifts. The net yield of minerals on the first shift was -1.5 kg, representing a net energy loss, while the net yield on the 400th shift was 13.5 kg. Given that the yields form an arithmetic sequence, calculate the total net yield over the 400 shifts.
A corporate incentive fund distributes a total of £13,500 \pounds 13,500\,£13,500 among 15 employees. The individual rewards form an arithmetic sequence. The reward for the highest-performing employee is exactly eight times the reward for the lowest-performing employee. Determine the value of the reward for the highest-performing employee.
308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, 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). Each one has a worked solution and a mark scheme showing where the marks go.