Sequences and series

[Guest]

There are initially 1000 kg of sugar in a warehouse. During each
subsequent year, the amount of sugar increases by 30 kg, but by the
end of the year 5% of all the sugar will have been eaten by mice.

(a) Find an expression, in terms of N (and in as simple a form as possible) for
the amount of sugar after N years.

(b) Describe how this amount behaves
in the long run