3.7 Recurrence Relations

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The population of a bacteria colony, $P_n$ (in thousands), at the start of day $n$ is modelled by the recurrence relation $P_{n+1} = A - B P_n$ $P_1 = 6$ where $A$ and $B$ are constants.

Find, in terms of $A$ and $B$ , (i) $P_2$ (ii) $P_3$

[2]

Given that

$∑n=13Pn=50\sum_{n=1}^{3} P_n = 50$
$A = 2 B + 8$

Show that $2B^2 - 5B - 14 = 0$ .

[4]

Hence find the smaller possible value of $P_2$ .

[2]

3.7 Recurrence Relations Questions

Practise Edexcel A Level Maths 3.7 Recurrence Relations with exam-style questions for A Level Maths. 36 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.