A sequence of 420 data points follows an arithmetic progression. The first data point is −18.5-18.5−18.5 and the final data point is 104.5104.5104.5. Calculate the sum of all 420 data points.
An array of 15 solar panels is installed on a curved roof. The power generated by each panel, measured in Watts (W), forms an arithmetic sequence. The total power generated by all 15 panels combined is 4650 W4650\text{ W}4650 W. Given that the power output of the most efficient panel is exactly four times that of the least efficient panel, determine the power output of the most efficient panel.
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.
