Surely you have some definite notion in mind when you use the term "innumerable". I wish you'd tell me what it is, since "innumerable" is vague and ambiguous. If it means "denumerable", then the answer is clearly Yes. If it means "infinite", then the answer is a qualified Yes--qualified because "infinite" is ambiguous. An uncountable set is infinite, but there are not uncountably many terms in your series. If it means "too many to be counted", then the answer is still Yes--but it would be Yes if there were a billion items in the series, if counting involves my patiently running through the list and muttering to myself: "one", "two", "three", "four", etc.: my patience would run out long before I got to a billion. I think that it's perfectly good English to say that there are innumerable stars, even if there are only finitely many of them. In that sense, the answer to your question is No, since there are not finitely many terms in the series.
That's the best I can do with a word I don't understand, and which you apparently refuse to define clearly.