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Sequences and Series

Sequences and Series

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Question 94

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−Tn​

where T1=850T_1 = 850T1​=850 is the initial temperature reading.

Find the value of

a.

(i) T2T_2T2​

(ii) T121T_{121}T121​

[3]
b.

∑n=140(0.1Tn+5)\sum_{n=1}^{40} (0.1T_n + 5)∑n=140​(0.1Tn​+5)

[3]
Markscheme

Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /Sequences and Series

178 exam-style questions on Edexcel A Level Maths Sequences and Series, covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series. Each one has a worked solution and a mark scheme showing where the marks go.

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