Find the z-transform of the sequence shown below using the tableprovided together with the sequence. FIND THE

Find the z-transform of the sequence shown below using the tableprovided together with the sequence.

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FIND THE Z TRANSFORM OF THE SEQUENCE BELOW: 0, fn = {n²am-1₁ Table 13.1.1: Z-Transforms of Some Commonly Used Sequences 1. 2. 3. 4. 5. 8. 9. 10. 11. 12. 13. 14. 6. ke-anT, a complex 7. kne-anT 15. 16. 17. fn, n20 18. fn fok const. fn = 0, n ≥ 1 fm = k=const. 0, for all values. of n m k constant kn kn² , a complex sin(wonT) cos (wonT) e-anT sin(wonT) e-anT cos(wonT) an a constant nan n² an sinh(@onT) cosh (wonT) an /n! n = 0 n>1 [In(a)]"/n! F(z) k kz-m kz/(z-1) kz/(2-1)² kz(z+1)/(x - 1)³ kz/(z-e-ar) kze-ar (z-e-a7)² zsin(woT) 2²-22 cos(woT)+1 2[z-cos(woT) 22-22 cos(woT)+1 ze sin(woT) 22-2ze-a cos(woT)+e-2aT ze-TzeT-cos(woT)] 2²-2ze-a cos(woT)+e-2aT z/(z - α) az/(z-a)² az(z+a)/(z-a)³ z sinh(woT) 2²-2z cosh (woT)+1 [2-cosh(woT)] 22-2z cosh(woT)+1 a¹/2 Region of convergence |2|> 0 |2|> 0 |2| > 1 |z| > 1 |2|>1 |2| > |e-aT| |2| > |e-a7| |2|>1 |2|>1 |2|>e-ar |z|>e-ar |z| > |a| |z| > |a| |z| > |a| |z> cosh(woT) |z| >sinh(@0T) |2|> 0 | 2 > 0 FIND THE Z TRANSFORM OF THE SEQUENCE BELOW: 0, fn = {n²am-1₁ Table 13.1.1: Z-Transforms of Some Commonly Used Sequences 1. 2. 3. 4. 5. 8. 9. 10. 11. 12. 13. 14. 6. ke-anT, a complex 7. kne-anT 15. 16. 17. fn, n20 18. fn fok const. fn = 0, n ≥ 1 fm = k=const. 0, for all values. of n m k constant kn kn² , a complex sin(wonT) cos (wonT) e-anT sin(wonT) e-anT cos(wonT) an a constant nan n² an sinh(@onT) cosh (wonT) an /n! n = 0 n>1 [In(a)]"/n! F(z) k kz-m kz/(z-1) kz/(2-1)² kz(z+1)/(x - 1)³ kz/(z-e-ar) kze-ar (z-e-a7)² zsin(woT) 2²-22 cos(woT)+1 2[z-cos(woT) 22-22 cos(woT)+1 ze sin(woT) 22-2ze-a cos(woT)+e-2aT ze-TzeT-cos(woT)] 2²-2ze-a cos(woT)+e-2aT z/(z - α) az/(z-a)² az(z+a)/(z-a)³ z sinh(woT) 2²-2z cosh (woT)+1 [2-cosh(woT)] 22-2z cosh(woT)+1 a¹/2 Region of convergence |2|> 0 |2|> 0 |2| > 1 |z| > 1 |2|>1 |2| > |e-aT| |2| > |e-a7| |2|>1 |2|>1 |2|>e-ar |z|>e-ar |z| > |a| |z| > |a| |z| > |a| |z> cosh(woT) |z| >sinh(@0T) |2|> 0 | 2 > 0

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