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An exclusive three-year private school has admitted only 100 new students a year since its inception three years ago.
Starting at year four, the school plans to admit 10 more new students each year than it did the previous year.
In what year of operation will the school's population first exceed 400 students?
Think about it carefully, and try again.
The school's population will exceed 400 students in year eight.
Every year from year four onward, the number of new students will increase by 10, but the students who started three years earlier will graduate and leave. In year four, five and six, the population will increase by 10, 20, and then 30 students a year. After that, the population will increase steadily by 30 students a year.
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