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Sequences and Series

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Question 93

The concentration of a specific catalyst, CnC_nCn​ mmol/L, in a chemical reactor is recorded every hour. The process is modeled by the recurrence relation

Cn+1=15−Cn,n≥1 C_{n+1} = 15 - C_n, \quad n \ge 1 Cn+1​=15−Cn​,n≥1

where the initial concentration is C1=4.5C_1 = 4.5C1​=4.5.

a.

Find the value of (i) C2C_2C2​ (ii) C85C_{85}C85​

[3]
b.

Determine the value of ∑n=1100(4Cn−5)\sum_{n=1}^{100} (4C_n - 5)∑n=1100​(4Cn​−5).

[3]

Sequences and Series Questions

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

Practise Edexcel A Level Maths Sequences and Series with exam-style questions for A Level Maths. 156 questions 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, 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.

Question bank