Given the process transfer function \[ G_P = \frac{20}{s - 2}, \] and controller transfer function \[ G_C = K_C, \] and assuming the transfer function of all other elements in the control loop are unity, what is the range of \( K_C \) for which the closed-loop response will be stable?
What comes next in the series?
\(2, 6, 12, 20, 30, \ ?\)
In a sequence of numbers, each term is generated by multiplying the previous term by 2 and then subtracting 1. If the first term is 3, what is the fourth term in the sequence?