1.4.5 Sequences (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Question 16

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

C_{n+1} = 15 - C_n, \quad n \ge 1

where the initial concentration is $C_1 = 4.5$ .

a.

Find the value of (i) $C_2$ (ii) $C_{85}$

[3]

b.

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

[3]

1.4.5 Sequences (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Question 16

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

C_{n+1} = 15 - C_n, \quad n \ge 1

where the initial concentration is $C_1 = 4.5$ .

a.

Find the value of (i) $C_2$ (ii) $C_{85}$

[3]

b.

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

[3]

1.4.5 Sequences (A-level only)

Question 16

1.4.5 Sequences (A-level only) Questions

1.4.5 Sequences (A-level only)

Question 16

1.4.5 Sequences (A-level only) Questions