Decide if each of the following recurrence relations is a linear homogeneous recurrence with constant coefficients (lhcc). Answer "Y" for yes and "N" for no. 1. a_n = n^2 a_{n-1}
2. a_n = a_{n-1} + a_{n-2} + 4n
3. a_n = a_{n-1} + 2
4. a_n = 3
5. a_n = a_{n-1} + 2 a_{n-3}
6. a_n = \frac{a_{n-1}}{n}
Find the degree of the following lhcc recurrences:
1. a_n = 2 a_{n-1} + 2 a_{n-6}
2. a_n = a_{n-7} + 7 a_{n-8}
3. a_n = a_{n-1} + a_{n-2} + a_{n-3}
4. a_n = a_{n-2} + 4 a_{n-3} + 2 a_{n-6}

What is (28 + 7 + 6 + 3) x 1/2 show your work

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

Which number is located at point a on the number line? a number line is shown from negative 10 to 10 with each interval mark on the number line representing one unit. point a is labeled one interval mark to the right of negative 5.