A sequence is described by: h[k]=k(-1)^{k}, \quad k \geq 0 Give the numerical values of the first 10 terms of the sequence. Write the first 10 terms of H(z) (the

one-sided z-transform of h[k]). Find a closed form expression for H(z) Consider the open loop system shown in Figure 4.1. Find the discrete time transfer function G(2) which will provide an output sequence y[k] = (kT) from an input sequence x[k]=x(kT); i.e., find the transfer function G(z) which satisfies Y(z) = G(z)X(z). What is a sample-and-hold circuit? Why(ADCS) and digital-to-analogue converters (DACS) used in digital control systems?are analogue-to-digital converters