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3.7 Recurrence Relations

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Question 18

A robotic arm moves along a linear track. Its position $p_n$ (in cm) at step $n\,$ is governed by the recurrence relation:

p_{n+1} = 3 - (p_n)^2

In the case where the arm starts at $p_1 = 2$ :

(i) Find the value of $p_3$ .

(ii) Determine the value of $p_{100}$ .

[4]

State a different value for $p_1$ , other than $p_1 = 2$ , which gives the same value for $p_{100}$ as found in part (a)(ii).

[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

Question bank

3.7 Recurrence Relations

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Question 18

A robotic arm moves along a linear track. Its position $p_n$ (in cm) at step $n\,$ is governed by the recurrence relation:

p_{n+1} = 3 - (p_n)^2

In the case where the arm starts at $p_1 = 2$ :

(i) Find the value of $p_3$ .

(ii) Determine the value of $p_{100}$ .

[4]

State a different value for $p_1$ , other than $p_1 = 2$ , which gives the same value for $p_{100}$ as found in part (a)(ii).

[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.