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3.4 Sequences and Series (A-level only)

3.4 Sequences and Series (A-level only)

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Question 89

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

3.4 Sequences and Series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Sequences and Series (A-level only)

231 exam-style questions on WJEC A Level Maths 3.4 Sequences and Series (A-level only), covering 3.4.1 Sequences and Series (A-level only), 3.4.2 Sequences and Series (A-level only), 3.4.3 Sequences and Series (A-level only), 3.4.4 Sequences and Series (A-level only), 3.4.5 Sequences and Series (A-level only), 3.4.6 Sequences and Series (A-level only), and 3.4.7 Sequences and Series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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