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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 143

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

1.7 D: Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.7 D: Sequences and series

308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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