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3.7 Recurrence Relations

3.7 Recurrence Relations

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Question 15

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]
Markscheme

3.7 Recurrence Relations Questions

  1. A Level
  2. /Maths
  3. /3.7 Recurrence Relations

35 exam-style questions on Edexcel A Level Maths 3.7 Recurrence Relations. Each one has a worked solution and a mark scheme showing where the marks go.

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