Determine whether the series O 1. convergent with sum = 3 27 81 3 - + . . 2. convergent with sum = oil CO is convergent or divergent, and if convergent, find its sum. 3. convergent with sum = 4. series is divergent 5. convergent with sum = 2part 2 of 3 1. S = [ (-1)"-32. (1)" (ii) Rewrite the series n=3 24 2 . 63 - 2 . . 25 210 64 + 2. 65 - . ..-2. 610 2. S = _ (-1)72. (3)" n=0 using summation notation. 3. S = (-1)12-32. ()" n=4 O 4. S = > (-1)2-32. (!)" n =3 10 5. S = (-1)12-22. (3)" n=3 part 3 of 3 [ (-1)75. (3)" (iii) Rewrite the series n = 11 5. 21 611 - 5. 212 612 7 ... [ (-1)75. (3)" n=0 2 1+n + (-1)"5. 611+n+ ...+ 3. S = > (-1)2-115 . ()" using summation notation. n = 11 O 00 4. S = (-1)2-115. (3)" n = 11 5. S = (-1)2-15 . (2)" n= 11part 1 of 3 1. S = 3 (i) Rewrite the series n=0 1 23 3 3+1+ .+...+3. 63 2. S = 3 ( n n=1 using summation notation. 3 3. S = 3 (3 )" n=0 00 4. S = E 3 n n=0 5. S = iM - 3 (5)"