A population of 80 longhorn cattle was introduced onto an island on
1 October 1960. There was no subsequent migration of longhorn cattle to
or from the island. Let Pn denote the size of the longhorn cattle
population on the island on 1 October n years after 1960.
assume that, for each integer n .> 0, the number of births
and deaths in the year beginning 1 October n years after 1960 are
1.52Pn and 1.24Pn, respectively
(i) Find a recurrence system satisfied by Pn