How to calculate the private total of this chain of numbers?

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Hellp everybody, I have a math excercise which require me to calculate the private total(Sn) and the total (S) (if it has) of this sequence of number:
and then conclude whether this sequence is converging or diverging. Everything need to be done in Command window.
How can I do that? Please help me, I will show gratitude to your help a lot! Many thanks.

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