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) $P_3$

Given that

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

Hence find the smaller possible value of $P_2$ .

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) $P_3$

Given that

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

Hence find the smaller possible value of $P_2$ .

Sequences and Series

Sequences and Series Questions