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3.7 Recurrence Relations

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Question 13

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 $T_{100}$ .

[4]

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.

[2]

Markscheme

3.7 Recurrence Relations Questions

A Level
Maths
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.

3.7 Recurrence Relations

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3.7 Recurrence Relations

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Question 13

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 $T_{100}$ .

[4]

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.

[2]

Markscheme

3.7 Recurrence Relations Questions

A Level
Maths
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.