Find the z-transform of the following sequences: i. {9k+7} k=0
[infinity]
​ [5 Marks] ii. {5 k
+k} k=0
[infinity]
​ [5 Marks] (b) Find the inverse z-transform of the following: i. Z −1
( (z−2) 2
2z
​ ) [5 marks] ii. Z −1
(z−3 2
) 3
9z(z+3 2
)
​ [5 marks] iii. Z −1
(z−1 5
) 3
z(z+1 7
)
​ [5 marks] (c) Using coshαn≡ 2
e αn
+e −αn
​ obtain the z-transform of the sequence {coshαn}={1,coshα,cosh2α,…}