1/3+1/1+1/4+1/1+1/5+1/9+... should the answer be infty or indeterminate?

1/3+1/1+1/4+1/1+1/5+1/9+... should the answer be infty or indeterminate?

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this sequence has no definite pattern, can't say what will be the answer
indeterminate

its the sum of the reciprocal of the expansion of pi.

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