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.
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.