I was assuming that you'd read and understood my posting of 4/22 entitled "Denumerability". A set is countable if and only if it's either finite or denumerable. And it's uncountable if and only if it's not countable--i.e., if and only if it's neither finite nor denumerable. But there are denumerably many terms in the series to which you refer. So there can't be uncountably many terms in that series.
By the bye, you'll certainly do us all a favor when you tell us exactly what you mean by "innumerable".