An arithmetic series is defined by the expression ∑r=837(4r−3)\sum_{r=8}^{37} (4r - 3)∑r=837(4r−3) (i) Write down the first term of the series. (ii) Write down the common difference of the series. (iii) Find the number of terms of the series.
The energy output of a turbine across various operating frequencies is modeled by a different arithmetic series ∑r=2079(kr+m)\sum_{r=20}^{79} (kr + m)∑r=2079(kr+m) where kkk and mmm are constants. The total energy output of this series is 10980 units. (i) Show that 49.5k+m=18349.5k + m = 18349.5k+m=183. (ii) The 21st term of the series is 15 more than twice the 1st term. Find the values of kkk and mmm.
Practise Edexcel A Level Maths 3.2 Arithmetic Series with exam-style questions for A Level Maths. 38 questions, matched to the Edexcel A Level Maths (9MA0) 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.