The temperature $T_n$ (in $∘C{^\circ}\text{C}$ ) inside a specialized climate-controlled incubator on day $n\,$ is modeled by the recurrence relation:

T_{n+1} = 13 - T_n^2, \quad n \ge 1

In the case where the initial temperature is set to $T_1 = 4$ :

(i) Calculate the value of $T_3$ .

(ii) Deduce the value of $T_{100}$ .

State a different value for $T_1$ , other than $T_1 = 4$ , which would result in the same value for $T_{100}$ as found in part (a)(ii). Justify your answer.

The temperature $T_n$ (in $∘C{^\circ}\text{C}$ ) inside a specialized climate-controlled incubator on day $n\,$ is modeled by the recurrence relation:

T_{n+1} = 13 - T_n^2, \quad n \ge 1

In the case where the initial temperature is set to $T_1 = 4$ :

(i) Calculate the value of $T_3$ .

(ii) Deduce the value of $T_{100}$ .

State a different value for $T_1$ , other than $T_1 = 4$ , which would result in the same value for $T_{100}$ as found in part (a)(ii). Justify your answer.

Sequences and Series

Question 103

Markscheme

Sequences and Series

Question 103

Markscheme

Sequences and Series

Question 103

Sequences and Series Questions

Sequences and Series

Question 103

Sequences and Series Questions