Question: Solve the following recurrence relations. a. x(n) = x(n 1) + 5 for n > 1, x(1) = 0 b. x(n) = 3x(n

Solve the following recurrence relations. 

a. x(n) = x(n − 1) + 5 for n > 1, x(1) = 0 

b. x(n) = 3x(n − 1) for n > 1, x(1) = 4 

c. x(n) = x(n − 1) + n for n > 0, x(0) = 0 

d. x(n) = x(n/2) + n for n > 1, x(1) = 1 (solve for n = 2k) 

e. x(n) = x(n/3) + 1 for n > 1, x(1) = 1 (solve for n = 3k)

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