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≥1where the initial concentration is C1=4.5C_1 = 4.5C1=4.5.
Find the value of (i) C2C_2C2 (ii) C85C_{85}C85
Determine the value of ∑n=1100(4Cn−5)\sum_{n=1}^{100} (4C_n - 5)∑n=1100(4Cn−5).
326 exam-style questions on Edexcel A Level Maths Sequences and Series, 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. Each one has a worked solution and a mark scheme showing where the marks go.