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Please answer all the parts. 1. Let Sn = > a; be the nth partial sum of the series an. Suppose that S,, is given

Please answer all the parts.

1. Let Sn = > a; be the nth partial sum of the series an. Suppose that S,, is given by Sn = 5- 2 n 2 i=1 n= (a) Find S5. (b) Find a, + a2 + as + as + as + as + a7. (c) Find ag. (d) Find an. (e) Determine whether the series S an converges or diverges. If it converges, find its sum. n= 1 (f) Find lim 20% + 4 5an + 2

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