The annual sales of an electronic games manufacturer is
.
Each year
of the units that have been sold will become inoperative.
After two years the number of units are
.
.
After three years the number of units are
.
.
After
years the number of units are
.
The sum of the first
terms of the geometric series is
.
and
.


for
.
The number of units after
years are
for
.