4. Solve the recurrence relation an4-25.3m with the initial conditions ao 9 and a 25.
Find an appropriate recurrence relation with initial conditions, and solve the recurrence relation. Find a recurrence relation for the number regions created by n mutually intersecting lines drawn on a piece of paper so that no three lines intersect at a common point.
Find an appropriate recurrence relation with initial conditions, and solve the recurrence relation. Find a recurrence relation for the number of ways to arrange cars in a row with n spaces if we can use Cadillacs or Hummers or Fords. A Hummer requires two spaces, whereas a Cadillac or a Ford requires just one space.
8. a) Solve the recurrence relation together with the initial conditions. an = -an-1 +an-2 + an-2 for n > 3,20 = 0,21 = 1, a2 = 6.
6. Use the generating function method to solve the following recurrence relation: with ao 2, a6 6. Use the generating function method to solve the following recurrence relation: with ao 2, a6
8. Solve the recurrence relation together with the initial conditions an--an_ 1 +an-2 + an-3 for n 23,a0-0, al = 1,a2-6.
Solve the differential equation below with initial conditions. . Find the recurrence relation and compute the first 6 coefficients (a -a,) (1 3x)y y' 2xy 0 y(0) 1, y'(0)-0
8) Solve the following recurrence relation with the given initial conditions: ?? = 10??−1 − 21??−2 ?0 = −3 ?1 = 5
) Solve the following recurrence relation with the given initial conditions: an=10an-1-21an-2 a0=-3 a1=5
Problem 3 (10 points) Suppose a sequence satisfies the below given recurrence relation and initial conditions. Find an explicit formula for the sequence a -6a--9a,-2 for all integers k2 2 ao = 1, a1 = 3
Question 9 4 pts Solve the recurrence relation an an-1+2 with a = 4 (Hint: This will telescope.)