Skip to content

Course home

3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149
Question 58

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

3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank