Discrete Math ==================================================================

Question

Discrete Math

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Suppose a 4-year college has 20,000 students in each level of Freshman, Sophomore, Junior, and senior at the beginning of year 2016. Suppose the college will recruit 5% more students every year, and new students come to the school only at the beginning of each year. We assume every student will get into next level successfully each year and graduate at the end of 4th year. For example, at the end of 2016, the 2000 senior students will graduate and leave the school. Then, at the beginning of 2017 2000-2000 5% 2100 new students will come to the school. Let A 2000 be the number of freshmen in the school at the beginning of 2016, and Ahrepresent the total number of freshmen in the school n years later. Let Bo 8000 be the total number of students in the school at the beginning of 2016, and Bn represent the total number of students in the school n years later (a) Compute A1, A2, A3, A4, and Bi B2, B3, and B4. (b) Please find a recurrence relation for computing An and solve it. For convenience, we allow to use real number to represent the number of students. e can round this number to an integer in practice.) (c Please find a recurrence relation for computing Bin and solve it. For convenience, we allow to use real number to represent the number of students

Explanation / Answer

question seems to be contradictory. first it says 5% more students are recruited every year. that means if in 2016 , 2000 are recruited, in 2017 2000+5%of 2000 will be recruited. however in example it says next year 5% more than last year graduated student are recruited.

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