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−Tn T_{n+1} = 1800 - T_n Tn+1=1800−Tnwhere 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 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.
