An industrial kiln's control system modulates the internal temperature, TnT_nTn in degrees Celsius, at discrete time steps nnn. The temperature sequence T1,T2,T3,…T_1, T_2, T_3, \dotsT1,T2,T3,… is defined by Tn+1=1800−TnT_{n+1} = 1800 - T_nTn+1=1800−Tn where T1=850T_1 = 850T1=850 is the initial temperature reading.
Find the value of
(i) T2T_2T2
(ii) T121T_{121}T121
∑n=140(0.1Tn+5)\sum_{n=1}^{40} (0.1T_n + 5)∑n=140(0.1Tn+5)
Practise Edexcel A Level Maths 3.7 Recurrence Relations with exam-style questions for A Level Maths. 36 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.