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 = 3)

What is the 12th term of b(n)=-4-2(n-1)

What expression is equivalent to 42x-56y

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)